A total of 699 tickets were sold for the school play. They were either adult tickets or student tickets. There were 51 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer 1

Answer:

Sold:

adults: 375 tickets

student: 324 tickets

Step-by-step explanation:

a + s = 699       Eq. 1

a = s + 51          Eq. 2

a = adult tickets sold

s = student tickets sold

Replacing Eq. 2 im Eq. 1

(s+51) + s = 699

2s + 51 = 699

2s = 699 - 51

2s = 648

s = 648/2

s = 324

From Eq. 2

a = 324 + 51

a = 375

Check:

From Eq. 1:

a + s = 699

375 + 324 = 699


Related Questions

what is the sequence of the following tasks in a perceptron? initialize weights of perceptron randomly go to the next batch of dataset if the prediction does not match the output, change the weights for a sample input, compute an output

Answers

The sequence of steps you provided is generally correct for training a perceptron, although there are some additional steps that might be included in the process depending on the specific implementation.

Here is a more complete list of steps that might be followed in training a perceptron:

Initialize the weights of the perceptron randomly.For each sample in the training dataset:Compute the output of the perceptron for the given input using the current weights.If the predicted output does not match the desired output, update the weights of the perceptron using an optimization algorithm, such as gradient descent.Repeat the process for the next batch of samples in the dataset.Continue this process until the perceptron has been trained to make accurate predictions for the given input.

It's important to note that the specific details of how the perceptron is trained will depend on the specific implementation, such as the optimization algorithm used to update the weights, the size of the training dataset, and the number of epochs (iterations) of training.

Learn more about perceptron at

https://brainly.com/question/14789864?referrer=searchResults

#SPJ4

Help please! I will mark brainliest.
Problem Walkthrough: Find the area of this figure.
Use 3.14 to approximate pi.
F
6
9
To solve for the area, split the figure into simple figures as
shown below. Solve for the area of each and combine.
6
Triangle
6
9
Rectangle
Half-circle
Enter the value
that belongs in
the green box.
Total Area
12

Answers

Answer:

86.13

Step-by-step explanation:

area of Triangle: ½ × height × base = ½ ×6×6= 18 cm

area of Rectangle: length × width= 6×9 = 54 cm

area of circle= π × (radius)² then...

area of Half-circle = [π×(radius)²] ÷2 = [3.14×(6/2)²] ÷2 = 14.13 cm

The Area of this figure= 18 + 54 + 14.13 = 86.13 cm

Answer:

[tex]A = 86.13[/tex]

Step-by-step explanation:

In order to find the area of the given figure

We need to divide the figure Into the following shapes

Firstly,

A triangle

Rectangle

Semi Circle

Area of a triangle + Area of a rectangle +  Area of a semi circle = Area of the whole figure

So lets find the area of the figures

Area of Triangle = [tex]\frac{1}{2}[/tex]X[tex]6[/tex]X[tex]6[/tex]

= [tex]18[/tex]

Area of a rectangle = [tex]l[/tex]x[tex]b[/tex]

= [tex]9[/tex]x[tex]6[/tex]=[tex]54[/tex]

Area of a semi circle = [tex]\frac{1}{2}\pi r^{2}[/tex]

= [tex]\frac{1}{2} X \frac{22}{7} X(3)^{2}[/tex]

= [tex]14.13[/tex]

[tex]A = 18 + 54 + 14.13[/tex]

[tex]A = 86.13[/tex]

The total area of the geometry will be 86.13 square units.

Pls Mark me Brainliest

PLS HELP WITH THIS ASSIGNMENT OMG ITS SO HARD FOR ME

Answers

The new coordinates of each of the triangle coordinates are;

1) A'(-12, 6), B'(3, 9), C'(-9, 18)

2) A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) A'(-8, 4), B'(2, 6), C'(-6, 12)

6) X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

How to carry out dilation in transformation?

Dilation is defined as a type of transformation where an image size either increases or decreases but then has the same shape as the original one. Thus, we will just multiply each coordinate by the scale factor;

We are given the coordinates of both triangles as;

Triangle ABC = A(-4, 2), B(1, 3), C(-3, 6)

Triangle XYZ = X(-4, 1), Y(1, 7), Z(4, 4)

1) Dilate triangle ABC by a scale factor of 3 means we multiply each ABC coordinate by 3 to get;

A'(-12, 6), B'(3, 9), C'(-9, 18)

2) Dilate triangle ABC by a scale factor of 1/2 means we multiply each ABC coordinate by 1/2 to get;

A'(-2, 1), B'(1/2, 3/2), C'(-3/2, 3)

3) Dilate triangle XYZ by a scale factor of 2 means we multiply each XYZ coordinate by 2 to get;

X'(-8, 2), Y'(2, 14), Z'(8, 8)

4) Dilate triangle XYZ by a scale factor of 1/4 means we multiply each XYZ coordinate by 1/4 to get;

X'(-1, 1/4), Y'(1/4, 7/4), Z'(1, 1)

5) Dilate triangle ABC by a scale factor of 2 means we multiply each ABC coordinate by 2 to get;

A'(-8, 4), B'(2, 6), C'(-6, 12)

6) Dilate triangle XYZ by a scale factor of 1/3 means we multiply each XYZ coordinate by 1/3 to get;

X'(-4/3, 1/3), Y'(1/3, 7/3), Z'(4/3, 4/3)

7) Dilate triangle XYZ by a scale factor of 5 means we multiply each XYZ coordinate by 5 to get;

X'(-20, 5), Y'(5, 35), Z'(20, 20)

8) Dilate triangle ABC by a scale factor of 1/4 means we multiply each ABC coordinate by 1/4 to get;

A'(-1, 1/2), B'(1/4, 3/4), C'(-3/4, 3/2)

Read more about dilation transformation at; https://brainly.com/question/3457976

#SPJ1

2) Choose the equation of a line parallel to the given equation and passing through a point P.
-3x - y = - 4; P = (1, 4)

Answers

Equation of the line is y = -3x + 7.

What are parallel line ?

Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines.

Suppose the line's equation is y=mx + c, where m and c are unknowns.

Since it is parallel to the equation y = -3x + 4 and -3x - y = -4, its slope is now -3. So m = -3.

Additionally, point  (1,4). Therefore, this should be satisfied by our line's equation.

Consequently, 4 = -3(1) + c

therefore c = 7

The line's equation changes to y = -3x + 7.

To know more about parallel lines click the link:

brainly.com/question/2696693

#SPJ1



The function S(d)= 86log d +112 relates the speed of wind, S, in miles per hour, near the centre of a tornado to the distance the tornado travels, d, in miles. Estimate the rate at which the speed of the wind at the centre of the tornado is changing the moment it has traveled its 50th mile.

Answers

The rate at which the speed of the wind changes at the 50th mile is 258.114 miles per hour

How to estimate the rate at which the speed of the wind

From the question, we have the following parameters that can be used in our computation:

Function: S(d) = 86log d + 112

Express the above function properly

So, we have the following representation

S(d) = 86log(d) + 112

From the question, we have:

Distance = 50th mile.

This means that

d = 50

Substitute the known values in the above equation, so, we have the following representation

S(50) = 86log(50) + 112

Evaluate the logarithm

So, we have the following representation

S(50) = 86 * 1.699 + 112

Evaluate the products

S(50) = 146.114 + 112

Lastly, we have

S(50) = 258.114

Hence, the speed is 258.114 miles per hour

Read more about speed at

https://brainly.com/question/14335655

#SPJ1

A building manager is buying gravel and mulch for landscaping. He can spend no more than $250 and must cover at least 200 square feet. Gravel costs $2 per square foot, and mulch costs $0.25 per square foot. If the building manager wants to purchase only one material, can he? Explain your answer.

Answers

Answer:

No, the building manager cannot purchase only one material. The maximum amount he can spend is $250, and 200 square feet of gravel would cost $400, which is more than the budget allows. Similarly, 200 square feet of mulch would cost only $50, which is far less than the budget allows.

Step-by-step explanation:

help me solve this please

Answers

Answer:

20.50 < 13 + .75n; 10 < n

Step-by-step explanation:

First let us set up 2 equations to represent how much these payment methods are giving per hour:

f(n) = 20.50

g(n) = 13 + .75n

We want to find where f(n) < g(n):

20.50 < 13 + .75n → subtract 13

7.50 < .75n  → divide by .75

10 < n

Thus, we would need to produce more than 10 units per hour to get the second option to be more profitable

what is the power of the lens that has a focal length of 40 cm and a diameter of 5.0 cm?

Answers

The power of the lens is 2.5D

The focal length of 40 cm and a diameter of 5.0 cm.

Optical power (also referred to as dioptric power, refractive power, focusing power, or convergence power) is the degree to which a lens, mirror, or other optical system converges or diverges light. It is equal to the reciprocal of the focal length of the device: P = 1/f.

Power of lens = 1 / focal length (in meters)

For a thin lens in air, the focal length is the distance from the center of the lens to the principal foci (or focal points) of the lens. For a converging lens (for example a convex lens), the focal length is positive and is the distance at which a beam of collimated light will be focused to a single spot.

we have focal length 40cm (.4 m)

so

Converging lenses have positive optical power, while diverging lenses have negative power.

Power of lens = 1/0.4 m

=2.5 D  [The unit of Power of lens is Dioptre]

Therefore, the power of the lens that has a focal length and a diameter of 5.0 cm is 2.5D

For more such questions on focal length

https://brainly.com/question/29870264

#SPJ4

in the decimal number 1238.654 the place value of 5 is

Answers

5 is in the hundredths place.
the hundredths place

A bakery old 26 vanilla cupcake in a day which wa 13 percent of the total number of cupcake old that day. How many total cupcake did the bakery ell that day

Answers

The bakery sold total 200 cupcake in that day.

What is percent value?

The word percent means per hundred and percent value of a quantity refers to the hundred parts of that quantity. Percent value is expressed by sign %.

How to calculate percentage value?

In order to determine a percent value of a quantity, we divide the quantity by the total quantity and finally the resultant value is multiplied by 100.

In the other hand, when we need to calculate total quantity from a percentage value, we multiply the specific quantity by 100 and finally the resultant is divided by the percentage value.

Given, Number of cupcakes sold at a specific time =26 which was 13 percent of total number of cupcakes sold in that day.

Therefore, number of total cupcakes sold in that day = 26× 100/13 =200

    the total number is 200

To know more about percent value visit:

https://brainly.com/question/8371652

#SPJ4

Find the point, m, that is two-sevenths of the distance from a(-9, 2) to b(-2, -12).

Answers

(-7,-2) is the point which is two-sevenths of the distance from a(-9, 2) to b(-2, -12).

since the unknown point m divides line joining a(-9,2) and b(-2,-12) in a given ratio of 2:5 as it is given one point is at distance of 2/7 of distance between point a and b so, the other point must be at a distance of 5/7 and hence the ratio in which it divides itself is 2:5

   a_______________m_________________________b

           2                        :                5

in the above figure it is shown clearly that m divides line joining point a and point b in the ratio of 2:5

let (x,y) be cordinate of point  m

[tex](x_1 , y_1)[/tex] be the point a

[tex](x_2 , y_2)[/tex] be point b

m:n =2:5

m=2 ,n=5

so applying section formula

   x= [tex]\frac{mx_2+nx_1}{m+n}[/tex]  

   => x = (2* -2 + 5 *-9) / (5+ 2)

   => x = - 49/7 = -7

   y= [tex]\frac{my_2+ny_1}{m+n}[/tex]  

 => y = (2* -12+5 *2)/(5+2)

 => y =  -2

  so the point m is (-7,-2) is the required answer of the question

 To know more about section formula click on below link:

 https://brainly.com/question/28703052#

#SPJ4

PLEASE HELP QUICK I WILL GIVE BRAINLIEST

Answers

To solve the inequality 5/8 z > 5/6, you have to get x by itself by multiplying both sides by the reciprocal of 5/8, which is 8/5. After doing that, you have z > 8/6, which simplifies to 4/3 or 1 1/3. Because of the greater than sign (without an =), the graph would be an open circle starting at 1 1/3 and going up on the number line.

Answer:

z > 1 1/3

Step-by-step explanation:

See picture

a 50ft ladder is placed against a large building. the base of the ladder is resting on an oil spill, and it slips at the rate of 3 ft. per minute. find the rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building.

Answers

The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min.

The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min. This rate takes into account the fact that the ladder is slipping at a rate of 3 ft./min. As the base of the ladder is slipping away from the building, the top of the ladder is moving down, hence the negative rate of change. This rate of change will remain the same until the base of the ladder has slipped the full 50 ft. from the base of the building. At this point, the rate of the change of the height of the top of the ladder will be 0, since the ladder will no longer be slipping.

The rate of change can be calculated as follows:

Rate of change = Change in height / Change in time

Change in height = Initial height - Final height

Initial height = 50 ft.

Final height = 50 ft. - 30 ft. = 20 ft.

Change in time = 30 ft. / 3 ft./min. = 10 min.

Rate of change = (50 ft. - 20 ft.) / 10 min. = -3 ft./min.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

If the exponent of the leading term of the numerator is higher than the exponent of the leading term of the denominator, what can we conclude?.

Answers

If the degree on x in the denominator is larger than the degree on x a bigger leading exponent than the polynomial in the numerator.

After then the graph to the value found by dividing the leading coefficients of the two polynomials.

To find horizontal asymptotes:

1.  If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).

2.  If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.

3. Rational functions (a polynomial divided by a polynomial) and exponential functions have horizontal asymptotes.

To know more about horizontal asymptotes:

https://brainly.com/question/16166519

#SPJ4

A driver travels 120 miles, stops, and then travels ¼ of the distance she has already driven. After stopping again, the driver travels ⅔ of the distance she has already traveled. Now, the entire distance she has driven is 55 miles more than 1 ⅔ of the remaining trip. How many miles does the driver still have to travel?

Answers

Let x be the number of miles the driver still has to travel.

The driver traveled 120 + 120/4 + 120/42/3 = 120 + 30 + 40 = 190 miles.

So the remaining distance is x + 190 = 55 + 1 2/3 * x

Multiplying both sides by 3/2 gives 3/2x + 3/2190 = 3/255 + 3/2*x + x

This simplifies to x = 190.

Therefore, the driver still has to travel 190 miles.

Pls help I also need to classify the polynomial by the # of terms

Answers

The 12+5x² Leading Coefficient is 5, the [tex]2p^{2} +4p^{4} -5[/tex] Leading Coefficient is 4. and The -5y³ Leading Coefficient is -5

What is polynomial function?

A polynomial function is a function in an equation, such as the quadratic equation or the cubic equation, that only uses non-negative integer powers or only positive integer exponents of a variable.

Solution:

1) 12+5x²

Standard form: 5x²+12 Degree: 2Leading Coefficient: 5

2) [tex]2p^{2} +4p^{4} -5[/tex]

Standard form: [tex]4p^{4} +2p^{2}-5[/tex] Degree: 2+4=6Leading Coefficient: 4

3) -5y³

Standard form: -5y³ Degree: 3Leading Coefficient: -5

To know  more about Polynomial visit,

https://brainly.com/question/2833285

#SPJ1

Which expression is equivalent to 63.56 (–81.47)? 63.56 – 81.47 63.56 81.47 –63.56 – 81.47 –63.56 81.47

Answers

The expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.

Option (A) is correct.

What is subtraction?

Subtraction is an arithmetic operation that involves finding the difference between two numbers. In mathematics, subtraction is represented by the minus sign (-).

To find the value of 63.56 (-81.47), we need to perform the arithmetic operation of subtraction. In this case, 63.56 is the minuend and -81.47 is the subtrahend.

The expression 63.56 (-81.47) is equivalent to 63.56 + (-81.47), which is equal to

The result of this subtraction is -17.91.

Hence, the expression 63.56 (-81.47) is equivalent to 63.56 - 81.47.

Option (A) is correct.

To learn more about subtraction, visit:

https://brainly.com/question/13378503

#SPJ4

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces. Which table contains only viable solutions if b represents the number of books he orders and w represents the total weight of the books, in ounces?.

Answers

The correct option is (0, 0), is the only viable solutions for the number of books and total weight of the books.

Explain the term viable solutions?Any answer that makes sense in the context of a question is deemed to be a viable one.

For the stated question;

b represents the number of books.w represents the total weight of books, in ounces.Weight of each book = 6 ounces

We may create an equation that describes the relationship between the number of books with their net weight if b stands in for the total weight. The formula can be

b = 6w

The very first two pairs are eliminated since you never order less than a certain quantity of books. Additionally, you don't buy half a book, which eliminates the final pair.

Therefore, the number of books as well as the total weight will be represented by the (0,0) ordered pair that solves the above equation.

To know more about the viable solutions, here

https://brainly.com/question/5281735

#SPJ4

The complete question is-

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces? (–3, –18) (–0.5, –3) (0, 0) (0.5, 3)

Answer:

C. 0,0

Step-by-step explanation:

g q4. how to understand causal system? if a lti system is non-causal, what does it mean in real life?

Answers

An output of a causal system is that whose inputs are just the past and the present. The outcome of a noncausal system depends on the upcoming inputs.

Define the term causal system?

We will examine the connection between output as well as inputs to determine whether the provided system is causal or not.

You notice that the output Y (t) in the initial example depends on the input at hand because it equals X (t). As a result, the system is creating a relationship when the output is solely dependent on the current input, which is why it is causal in nature. Causal systems are those in which the system's output should not depend on or be independent of future values of the input, and in this case, the system's output is independent of future values since it is only dependent on the current values.

Thus, there isn't a single example of an ontologically non-causal system, or one of a truly fundamental nature about which we can be sure, that we are aware of.

To know more about the causal system, here

https://brainly.com/question/29409482

#SPJ4

The sum of two numbers is 62, and their difference is
12. What are the numbers?

Answers

Answer:

25 and 37

Step-by-step explanation:

x+y=62

y-x=12

 +x. +x

y=12+x

x+(12+x)=62

2x+12=62

   -12. -12

2x=50

/2. /2

x=25

25 is one of the numbers

y-25=12

+25 +25

y=37

hopes this helps

FILL IN THE BLANK. a(n) ____________ difference is due to some systematic influence and not due to chance.

Answers

The correct option is (a) significant.

a(n) significant difference is due to some systematic influence and not due to chance.

Significant: Having or likely to have influence or effect : important. a significant piece of legislation also of a noticeably or measurably large amount. a significant number of layoffs.

Insignificant: small or unimportant

null: Lacking meaning or having no value

serendipitous: come upon or found by accident

As per the question the suitable answer is option (a).

Therefore, the correct answer is Significant

For more such questions on significant

https://brainly.com/question/15278426

#SPJ4

A(n) significant difference is due to some systematic influence and not due to chance. Choose one answer.

a. significant b. insignificant c. null d. serendipitous

i need the answer to 9x5x2=9x please

Answers

Answer:

x=10

Step-by-step explanation:

(4,4), (5,4),​ (6,4), (7,4),​ (8,4) B. ​(6,9), (7,19),​ (8,29), (8,39),​ (9,49) C. ​(7,33), (8,30),​ (9,27), (10,24),​ (11,21) D. ​(4,4), (5,6),​ (6,8), (6,10),​ (7,12) Which of thee relation are ​ function?

Answers

As per the rule of function, the relation ​(4,4), (5,6),​ (6,8), (6,10),​ (7,12) is a function.

The term relation in math referred as the relationship between two or more set of values.

Here we have to find in which of the given relation is a function.

As we all know that the function is a relation which describes that there should be only one output for each input or we can say that a special kind of relation (a set of ordered pairs),

Therefore, the rule of the function states that every X-value should be associated with only one y-value is called a function.

As per this rule we have identified the following relation is one that said to be the function

=> ​(4,4), (5,6),​ (6,8), (6,10),​ (7,12)

Therefore, option (D) is correct.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

What is the circumference of the following circle?
Use 3.14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

9.42cm

Step-by-step explanation:

according to fig :

diameter (d) =3cm so ,

radius (r) = d/2 =3/2 = 1.5cm

solution:

as we know that ,

circumference of a circle = 2πr

=2×3.14×1.5

=9.42 cm

Answer:

21.98 cm

Step-by-step explanation:

The circumference formula is [tex]2\pi r[/tex] which can be expressed as [tex]\pi d[/tex], where r is radius and d is the diameter length.

Since we know the diameter is 3 cm, that means we can plug in that value for d and get [tex]7 \pi[/tex] as the circumference

However, the question tells us to use 3.14 for [tex]\pi[/tex], so we must find the value of [tex]7 * 3.14[/tex]. By doing mental math or by using a calculator we can find this value to be 21.98.

Thus, the circumference of the circle is 21.98 cm

What is 5 times 10000

Answers

Answer:

50000

Step-by-step explanation:

academic advising: in 2014 the community college survey of student engagement reported that 32% of the students surveyed rarely or never use academic advising services. suppose that in reality, 42% of community college students rarely or never use academic advising services at their college. in a simulation we select random samples from this population. for each sample we calculate the proportion who rarely or never use academic advising services. what is the smallest sample in the list below that will satisfy the conditions for the use of a normal model to represent the sampling distribution?

Answers

The smallest sample in the following list that meets the requirements for using a normal model to depict the sampling distribution is 0.0349.

What is standard deviation?

A standard deviation (or) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out. Statisticians have concluded that numbers with a margin of error of no more than 2 SD reflect measures that are closer to the real value than those with a margin of error more than 2SD. As a result, most QC procedures mandate that remedial action be taken for data points that consistently fall outside of the 2SD range.

Here,

Probability that students surveyed rarely or never use academic advising services = 32% = 0.32

In reality, students rarely or never use academic advising services at their college = 42% = 0.42

Sample size, n = 200

The sampling distribution of sample proportion will be approximately normal with mean.

therefore,

Mean, = p

= 0.42

now, the standard deviation is given using the formula

on substituting the respective values, we get

= √0.001218

= 0.0349

The smallest sample in the list below that will satisfy the conditions for the use of a normal model to represent the sampling distribution is 0.0349.

To know more about standard deviation,

https://brainly.com/question/13529676

#SPJ4

Four and a half times a number increased by 4 equal to three and half times the number increased by 6.What is number?

Answers

The unknown number from the given phrase is 2.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, four and a half times a number increased by 4 equal to three and half times the number increased by 6.

Let the unknown number be x.

Now,

Four and a half times a number increased by 4

[tex]4\frac{1}{2}x+4[/tex]

Three and half times the number increased by 6

[tex]3\frac{1}{2}x+6[/tex]

Here, [tex]4\frac{1}{2}x+4[/tex]=[tex]3\frac{1}{2}x+6[/tex]

9/2x+4=7/2x+6

9/2x-7/2x=6-4

2/2x=2

x=2

Therefore, the unknown number is 2.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ1

Line k has a slope of 1/3. Line j is perpendicular to line k and passes through the point (1,4). Create an equation for line j.

Answers

The equation of line j is x + 3y -13 = 0 which is perpendicular to line k.

How does one point slope?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).One of the three forms we can use to express a straight line is the point slope form, also referred to as the point-gradient form.This form is helpful since it allows us to find the equation of the line by only knowing the slope and one point along the line.

Line k is perpendicular to line j

m(j) = - m(k)

m(j) = -(1/3)

One slope one point formula:

y - y₁ = m( x - x₁ )

y - 4 = -(1/3)(x - 1)

3y - 12 = -x + 1

x + 3y -13 = 0

Hence, The equation of line j is x + 3y -13 = 0 which is perpendicular to line k.

To know more about equation check the below link:

https://brainly.com/question/3493733

#SPJ1

Your cousin plays point guard for her community basketball team. When she plays in a game, five out of seven baskets she scores for her team are lay-ups.
If your cousin scores fourteen baskets for her team at Saturday night's game, how many were lay-ups?
If, during the course of the season, your cousin scores one hundred forty baskets for her team, how many were lay-ups?
If, over the course of several games, your cousin makes twenty lay-ups, how many total baskets did she score for her team?

Answers

The total number of lay-ups in 14 baskets is 10

The total number of lay-ups in 140 baskets is 100The total number of baskets in 20 lay-ups  is 28

The total number of lay-ups

In fourteen baskets

From the question, we have the following parameters that can be used in our computation:

Lay-ups = 5 out of 7 baskets

This means that

Lay-ups = 5/7 baskets

When the number of baskets is 14, we have

Lay-ups = 5/7 * 14

Evaluate

Lay-ups = 10

In one hundred forty baskets

From the question, we have the following parameters that can be used in our computation:

Lay-ups = 5 out of 7 baskets

This means that

Lay-ups = 5/7 baskets

When the number of baskets is 140, we have

Lay-ups = 5/7 * 140

Evaluate

Lay-ups = 100

The total number of baskets

Here, we have

Lay-ups = 20


Recall that

Lay-ups = 5/7 baskets

So, we have

Baskets = 7/5 lay-ups

This gives

Baskets = 7/5 * 20

Evaluate

Baskets = 28

Hence, the number of baskets is 28

Read more about proportion at

https://brainly.com/question/16828793

#SPJ1

your client has a horse that is traveling to compete in an international event. one of the export requirements is a negative test for equine infectious anemia (eia). the results need to be reported on the international health certificate (ihc). where can you send the blood sample for testing to obtain official results?

Answers

You can send the blood sample size to a certified laboratory for testing. The laboratory will provide official results that can be reported on the IHC. State and federal animal health departments and veterinary diagnostic laboratories are usually certified to provide this service.

To obtain official results for a negative test for equine infectious anemia (EIA) for an international event, you can send the blood sample to a certified laboratory for testing. You should contact your state or federal animal health department or a veterinary diagnostic laboratory to find a certified laboratory in your area. The laboratory will test the blood sample and provide the official results to be reported on the international health certificate (IHC). It is important to make sure you use a certified laboratory for the testing in order to ensure the results are accurate and can be accepted for the international event.

Learn more about sample size here

https://brainly.com/question/25894237

#SPJ4

Other Questions
which of the following activities could result in an administrator taking action against a broker-dealer registered in her state? network technician john watson, needs to check if the domain name resolution system is functioning properly. which of the following software tools would he use to accomplish this? how long must a simple pendulum be if it is to make exactly one swing per two seconds? (that is, one complete oscillation takes exactly 4.0 s .) need helping getting the answer Which of the following is not a point of difference between the Byzantine Empire and the Roman Empire in the time of trajan? The Equal Pay Act was introduced after _____ when women had joined the workforce in significant numbers. Which best describes the difference between a desktop publishing program and a word processing program?. an atom of chlorine is represented by 3717cl. how many neutrons are in the nucleus of this atom? A newly discovered planet has twice the mass and three times the radius of the earth. What is the free-fall acceleration at its surface, in terms of the free-fall acceleration g at the surface of the earth?A. 2/9 gB. 2/3 gC. 3/4 gD. 4/3 g the physical structure of a(n) ? consists of two conducting surfaces separated by an insulating material. Compute the scalar surface integral T(z+y)dS where T is the triangle (including its interior) with vertices (0,0,2), (0,1,0)( and (1,0,0) True or False: one of the things that makes intellectual property different from other types is that is infinitely shareable. imagine the electrolysis of a molten sample of alcl3 in its pure state. how many faradays of electricity would be required to produce a mole of metallic aluminum in such a process? under accrual basis accounting, if cash is received from the customer before the product is delivered to that customer, in addition to the cash that is received, which of the following is reported by the company? multiple choice an asset (other than cash) on the balance sheet an expense on the income statement a liability on the balance sheet a revenue on the income statement 8. What is 263 K in Celsius?A. 536 C B. 10 CC. -536 C through a refinery, fuel ethanol is flowing in a pipe at a velocity of 1 m/s and a pressure of 101300 pa. the refinery needs the ethanol to be at a pressure of 2 atm (202600 pa) on a lower level. how far must the pipe drop in height in order to achieve this pressure? assume the velocity does not change. (hint: use the bernoulli equation. the density of ethanol is 789 kg/m3 and gravity g is 9.8 m/s2. pay attention to units!) When Henri wants to share information with Chantal but not with others in a room, he switches from speaking English to speaking French, which Chantal understands. Which of the following best describes what Henri does to keep his comments to Chantal private?d. He encodes his message in a way he thinks only Chantal will understand. you round_trip drive to work is 4 3/10 miles how many miles do you drive to and from work in 3 days? assume that larry's marginal tax rate is 24 percent. if corporate bonds pay 10 percent interest, what interest rate would a municipal bond have to offer for larry to be indifferent between the two bonds? a hunter aims directly at a target (on the same level) 120.0 m away. if the bullet leaves the gun at a speed of 250m/s, by how much will it miss the target?