Mathematics High School

Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics in a particular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. How many students are enrolled in either algebra or physics?

Awnsers:
33

38

2

5

Answers

Answer 1

1. The frequency table will be:

Physics - Not in algebra = 9

Not in physics (Algebra) = 24

Not in physics (Not in algebra) = 2

Total (Not in physics) = 26

Total = 11

2. The students are enrolled in either algebra or physics is B. 38.

How to calculate the value?

It was found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both.

Not in physics for algebra = 24

Not in physics = 2

The Total for the value will be:

= 24 + 2= 26

The students enrolled in either will be:

= Algebra + Physics - Both

= 29 + 14 - 5

= 43 - 5

= 38

This illustrates the concept of addition and subtraction of numbers.

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Answer 2

Answer:

Its B. 38

Step-by-step explanation:

Hope this helps :)

Related Questions

Math To Do, -Ready
Interactive Practice: Work with Scientific Notati
-) Multiply. Write your answer using scientific notation.
(2 × 10 ) × (3.1 × 10¹⁰) = ||
X ?

Answers

6.2 × [tex]10^{11}[/tex] is the result after multiplying the terms (2 × 10 ) × (3.1 × 10¹⁰).

We are provided with the equation mentioned below:

(2 × 10 ) × (3.1 × 10¹⁰) equation 1

We were asked to multiply the terms mentioned in the above equation using scientific notation. The steps to simplify the above mentioned equation are written below;

(2 × 10 ) × (3.1 × 10¹⁰)

Separately write similar terms first as shown below,

= ( 2 × 3.1 ) × ( [tex]10^{1}[/tex] × [tex]10^{10}[/tex] )

Now multiply the similar terms as written below;

= 6.2 × [tex]10^{(1 + 10)}[/tex]

Add powers of 10, we get

= 6.2 × [tex]10^{11}[/tex]

Thus, the solution of the given equation is 6.2 × [tex]10^{11}[/tex].

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five hundred feet of fencing is available for a rectangular pasture alongside a river, the river serving as one side of the rectangle (so only three sides require fencing). find the dimensions yielding the greatest area

Answers

The dimensions yielding the greatest area (125*250).

What is a dimensions?
The minimal number of coordinates required to specify any point within a dimensional vector space (or object) is known as the dimension in physics and mathematics. Because only one coordinate is required to specify a point on a line, such as the point at 5 on the a number line, a line is said to have one dimension (1D). Because two coordinates are required to specify a point on a surface, such as the perimeter of a sphere or cylinder, it is referred to as having a dimension of two (2D). For instance, a point on the a sphere's surface requires both a latitude and a longitude to be located. A two-dimensional space just on plane is referred to as a Euclidean space.

The perimeter is 2a+b = 500

b= 500-2a

Max are is A = ab

A= a(500-2a)

= 500a - 2[tex]a^{2}[/tex]

for max value

a = -y/2x

= -500/2(-2)

= 125 feet

and b = 250 feet

Greatest area (125*250) = 31250 feet²

Hence dimensions yielding the greatest area (125*250).

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Solve for X.
Help please!!!

Answers

Answer:

x=17

Step-by-step explanation:

2x-3+3x+8=90

5x=85

x=17

A restaurant customer left $1.05 as a tip. The tax was 8% and the tip was 15% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?

Answers

well, the bill was actually "x", which oddly enough is the 100%, but we also know that the tip was $1.05 and that's 15% of the whole bill plus tax.

so if we know that 1.05 is 15% of "x", what the dickens is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 1.05 & 15\\ x& 100 \end{array} \implies \cfrac{1.05}{x}~~=~~\cfrac{15}{100} \\\\\\ 105=15x\implies \cfrac{105}{15}=x\implies 7=x[/tex]

well, as you can see, we know the tax was 8%, but, it doesn't really matter if it had been 25% or who knows, so long we know that 1.05 is 15% of the whole smack.

Is it possible for consecutive interior angles to be congruent?

Answers

No, It is not possible for consecutive interior angles to be congruent.

If the transversal line crosses the two lines as parallel to one another, the consecutive interior angles are supplementary rather than congruent and add up to 180 degrees.

Parallel internal angles are additional (the consecutive interior angles postulate) External angles that follow each other are supplemental (the consecutive exterior angles theorem) Congruent alternate interior angles (the alternate interior angles theorem)

What are consecutive interior angles?

The pair of non-adjacent internal angles that are located on the same side of the transversal are referred to as consecutive interior angles. The term "consecutive" describes events that take place side by side. On the internal side of a transversal, two consecutive interior angles are situated next to one another.

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PLEASE HELP FASTTT ILL MARK BRAINLIEST

Answers

Answer:

[tex]2\sqrt{2}[/tex]

Doing RSM I see... lol gl. (tell me if this is wrong, I'll correct it if it is) :]

Step-by-step explanation:

h(6)=2

g(2) = [tex]\sqrt{2\\}[/tex]

f(sqrt2) = [tex]2\sqrt{2}[/tex]

Congruent triangles
Please answer this question

Answers

A.Congruent triangles)

Choose the best initial step in solving the following system by substitution.
2x + 3y = –12
6x + y = 18
Answers:
1.Solve the first equation for x.
2.Solve the first equation for y.
3.Solve the second equation for x.
4.Solve the second equation for y.

Answers

Answer:

I think you have to first solve the first equation for y.

Answer choice: 3.

Step-by-step explanation:

Hope this helps! :)

Draw the graph of each circle given its equation below.

Answers

Step 1:

First, write the general equation of a circle

[tex]\begin{gathered} (x-a)^a+(y-b)^2=r^2 \\ r\text{ is the radius} \\ (a,\text{ b) is the center} \end{gathered}[/tex]

Step 2:

Question 1

[tex]\begin{gathered} x^2+y^2\text{ = 121} \\ x^2+y^2=11^2 \\ \text{radius r = 11} \\ \text{center = (0 , 0)} \end{gathered}[/tex]

Question 2

[tex]\begin{gathered} (x-2)^2+y^2\text{ = 64} \\ (x-2)^2+y^2=8^2 \\ \text{Center = (2, 0)} \\ r\text{ = 8} \end{gathered}[/tex]

Question 3

[tex]\begin{gathered} (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = 36} \\ (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = }6^2 \\ \text{Center = (-}\frac{3}{2}\text{ , -}\frac{5}{8}) \\ r\text{ = 6} \end{gathered}[/tex]

Question 4

[tex]\begin{gathered} (x-1)^2+(y+7)^2\text{ = 9} \\ (x-1)^2+(y+7)^2\text{ = }3^2 \\ \text{Center = (1, -7)} \\ r\text{ = 3} \end{gathered}[/tex]

Question 5

[tex]\begin{gathered} (x+8)^2+(y-3)^2\text{ = 7} \\ (x+8)^2+(y-3)^2\text{ = (}\sqrt[]{7})^2 \\ \text{Center = (-8, 3)} \\ \text{radius r = }\sqrt[]{7} \end{gathered}[/tex]

Alvin's
age Is three times Elga's age. The sum of their ages Is 96. What Is Elga's age?
years old

Answers

Answer: Elga is 16 years old

Step-by-step explanation: so first you divide 96 by 2 and get 48, 48 divided by 3=16,

please mark brainliest if this helps :)

Answer: 24 years old

Work Shown:

x = Elga's age

3x = Alvin's age since he is 3 times older

x+3x = 4x = sum of their ages

4x = 96

x = 96/4

x = 24 is Elga's age

3x = 3*24 = 72 is Alvin's age

Check: 24+72 = 96 which confirms the answer.

please help asap
during a snow storm the temperature drops from 0 degress f to - 12 degress f in 3 hour. on averge by how many degress is the temperature changing per hour?

A, -4f

B. 12f

C. 15f

D. -9f

Answers

The average change per hour is: -4 F/h

So the temperature decreases by 4 degrees Fahrenheit each hour.

How to get the average change in temperature?

To get the average change in degrees per hour, we need to take the quotient between the change in temperature and the number of hours in which this happens.

We know that initially the temperature is 0F

The final temperature is -12F

and this happens on an interval of 3 hours, then the average change per hour is:

(-12F - 0F)/3h = -12F/3h = -4 F/h

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rearrange the following so g is the main subject:
f+4(g-h)=x

Answers

Answer:

g=x-f+4h/4

Step-by-step explanation:

change of subject of formula

f+4(g-h)=x

f+4g-4h=x

4g-4h=x-f

4g=x-f+4h

g=x-f+4h/4

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Eric orders 3 large cheese pizzas. There is a $2 delivery fee for each pizza. He pays a total of $42. Which equation can be used to find the price, r, of each pizza?

Answers

we have that he paid 4 dollars due the delivery. So each pizza costs

[tex]\frac{38}{2}=19[/tex]

so the equation to find the price r is

[tex]r=\frac{42-4}{2}[/tex]

Suppose Alex wants to kick a ball over a 10-foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence?

a.
36.9°
c.
53.1°
b.
59.0°
d.
31.0°

Answers

You would take Alex's distance from the fence, which is 10 feet, and the length of the fence to get the angle.

Finding the angle using the right triangle's trig formulas, sine, cosine, or tangent

neighboring side = 6 feet

obverse side = 10 feet

employ a tangent because

[tex]tan^{-1}\frac{opposite}{adjacent} = tan^{-1}\frac{10}{6} = 59.0[/tex]

About Right triangle's

The formula for a right triangle's area, perimeter, and hypotenuse length are all included in the formula for a right triangle.

In geometry, there are several figure kinds that are distinguished from one another by their unique characteristics. A triangle is one of the shapes they frequently use. A triangle is a closed, three-sided polygonal shape. It has three vertices and three sides that contain the triangle's three interior angles. A triangle's three inner angles always add up to 180 degrees.

Equilateral, isosceles, scalene and right-angled triangles are the most typical triangle types we examine. The right triangle formula, commonly known as the right-angled triangle formulae, will be discussed in this section.

Any interior angle that is 90 degrees in length is said to be in a right triangle. It should be remembered that only one of the three angles may be a right angle because the total interior angle of a triangle is 180 degrees.

Continue reading: Right Angle Triangle

The triangle is referred to as an isosceles right-angled triangle if the other two angles are equal, or 45 degrees each. A scalene right-angled triangle, on the other hand, results from the other two angles being uneven.

Trigonometry is where right-angled triangles are used the most frequently. In reality, trigonometry's foundation is the relationship between its angles and sides.

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solve the following equation 23 + 23 = 5y + 11

Answers

Answer:

Step-by-step explanation:

Since 23 + 23 = 46

We just have to multiply 5 by something. 11 + 5 x 7 = 46

Y is = 7

btw im in middle school

your answer could be 72

i did a lot of math

and if you have what y means to me its y = 3 so i did 5*3

The larger of two numbers is 1 more than 3 times the smaller. Their sum is 65. Find the numbers.

Answers

The larger number is 49 and the smaller number is 16.

What are the numbers?

The first step is to form a linear expression that represents the larger number.

Let the smaller number be represented with y

The larger number is represented with this linear expression : 1 + 3y

The sum of the two numbers : 1 + 3y + y = 65

Take the following steps to determine the value of the smaller number:

Combine similar terms: 65 - 1 = 3y + y

Add similar terms together: 64 = 4y

Divide both sides by 4: y = 64 / 4

y = 16

Larger number = 1 + 3(16)

1 + 48 = 49

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WILL GIVE BRAINLY
PLS ANSWER QUICK
Use properties to evaluate [tex]-5x14 ÷ \frac{3}{4} x 15[/tex]
A. -350
B. -1400
C. 350
D. 1400

Answers

The expression has a value of -1400 when evaluated

How to evaluate the expression?

From the question, the expression is represented as

-5 x 14 ÷ 3/4 x 15

Start by evaluating the product of -5 and 14

So, we have the following equation represented as

-5 x 14 ÷ 3/4 x 15 = -70 ÷ 3/4 x 15

Next, we rewrite the quotient as products

So, we have the following equation represented as

-5 x 14 ÷ 3/4 x 15 = -70 x 4/3 x 15

Divide 15 by 3

So, we have

-5 x 14 ÷ 3/4 x 15 = -70 x 4 x 5

Continue by evaluating the product of -70 and 4

So, we have the following equation

-5 x 14 ÷ 3/4 x 15 = -280 x 5

Lastly, we have

-5 x 14 ÷ 3/4 x 15 = -1400

Hence, the value of the expression is -1400

Answers

Average rate of change = 2

How to find the average rate of change?

Given:

Input(x) = 1, 2, 3, 4, 5

Output(y)= 11,13,15,17,19

We know,

Average rate of change = change in output/change in input

[tex]=\frac{y_1-y_2}{x_1-x_2}\\\\=\frac{11-13}{1-2} \\\\ =\frac{-2}{-1} \\\\=2[/tex]

What is average rate of change?

The average rate of change is a typical indicator of change over a period of time given in a function. It is equal to the difference between the function's input and output as a whole. It is a measurement of the average amount of change in the function per unit throughout that time. On the graph of the function, it is calculated from the slope of the straight line joining the interval's ends.

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A water treatment plant needs to maintain the ph of the water in the reservoir at a certain level. To monitor this, they take 2 oz. Of water at 37 locations every hour, measure the ph at each of those locations, and find their average. If the ph level of the reservoir is ok, the results at each location will have varying results, with an average ph of 8. 5 and a standard deviation of 0. 22. If the ph level of the reservoir is ok, what is the probability that the sample average is less than 8. 42?.

Answers

P(X < 8.4)

= P(Z < (8.4 - 8.5) / (0.22 / sqrt(37)))

= P(Z < -2.76 ) = 0.0029

So the probability is 0.0029

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how does y sqaured eqaul 169

Answers

Answer:

Step-by-step explanation:

A number squared is just a number multiplied by itself.

13 x 13 is 169.

Answer is 13.

Hope this helps!

P.S, Brainliest, please, thanks!

Is √3 rational?

I’m trying to figure out is the question above rational

Answers

Answer:

The square root of 3 is an irrational number if that's what you were asking

The square root of 3 is an irrational number.

a high school has 48 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing greater than or equal to 232 pounds?

Answers

The proportion of players weighing more than or equatable to 220 pounds is 50%.

What is termed as the quartile?The dataset is divided into four groups by dividing the data into three points: lower quartile, midpoint, and upper quartile.The quartiles, along with the data set's minimum and maximum values, divide a collection of observations in to the four sections, each chosen to represent 25% of the observations.

Based on the information provided

There are 48 players in total.

Based on the box plot;

158 pounds is the minimum weight.

Q1 = 185, which represents 25% of the information below 185 pounds.

The second quartile Q2 = 220 pounds, which represents 50% of the information below 220 pounds.

The third quartile (Q3) = 232, representing 75% of the information below 232 pounds.

248 pounds is the maximum weight.

In this case, 220 is the middle number and represents the median.

50% of the information are located on both the left and right sides of the median.

As a result, the proportion of players weighing more than or equatable to 220 pounds is 50%.

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Vistaprint offers the first 500 business cards for free. Then each additional set of 500 cards cost $9.99.
A. Write an equation that gives the total cosr (in dollars) of cards, C, in terms of the number (in groups of 500) of business cards, b, ordered.
B. Find the cost of buying 3500 business cards.

Answers

If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99

Part A

The equation that gives the total cost (in dollars) of card C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99

Part B

The cost of buying 3500 business cards is $59.94

The Vistaprint offers the first 500 business cards for free

The cost of each additional set of 500 cards = $9.99

Part A

Consider the total cost of the card = C

Number of business card in group of 500 = b

Then the equation of the total cost of cards

C = 9.99×b -9.99

Part B

Total number of cards = 3500

Number of cards in group of 500 = 3500/500

= 7

The cost of buying 3500 business card = 9.99×7-9.99

= 69.93-9.99

= $59.94

Hence, If the Vistaprint offers the first 500 business card for free and each additional set of 500 card cost $9.99

Part A

The equation that gives the total cost (in dollars) of card C, in terms of the number(in group of 500) of business cards b ordered is C = 9.99×b -9.99

Part B

The cost of buying 3500 business cards is $59.94

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x = -4z - 19
y= 5x + z - 4
-5y - z = 25

Answers

Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2: