The area of a rectangle is 49d + 91
The length is an integer higher than 1, but is a known number.
Find the width of the rectangle.

Answers

Answer 1

Assuming that L and d are known numbers, we can write.

[tex]W = \frac{49d + 91}{L}[/tex]

How to get the width of the rectangle?

Remember that for a rectangle of width W and length L, the area is given by:

A = L*W

In this case, the area is 49d + 91, and the length is a known number, so we know the value of L.

Then we can write:

A = L*W =  49d + 91

To get the value of W, we need to isolate it on one side of the equation.

We can do that by dividing both sides by L.

[tex]W = \frac{49d + 91}{L}[/tex]

We assume that d and L are known, so with the above rational expression, we have W totally determined.

If you want to learn more about rational expressions:

https://brainly.com/question/1851758

#SPJ1


Related Questions

A store owner puts in an order for product x and product y for a total of 4,000 units. it costs $0.10 per item to ship of product x and $0.04 per item to ship product y. if the total shipping cost is $352, which system of equations can be used to determine how much of product x and product y the store owner bought? startlayout enlarged left-brace 1st row x y = 4,000 2nd row 10 x 4 y = 352 endlayout startlayout enlarged left-brace 1st row 10 x 4 y = 4,000 2nd row x y = 352 endlayout startlayout enlarged left-brace 1st row x y = 4,000 2ndrow 0.1 x 0.04 y = 352 endlayout startlayout enlarged left-brace 1st row 0.1 x 0.04 y = 4,000 2nd row x y = 352 endlayout

Answers

The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000

0.10x + 0.04y = 352

Simultaneous equation

product xProduct yTotal units of x and y = 4,000 unitsCost of shipping each product x = $0.10Cost of shipping each product y = $0.04Total cost of shipping = $352

The equation:

x + y = 4,000

0.10x + 0.04y = 352

Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000

0.10x + 0.04y = 352

Learn more about simultaneous equation:

https://brainly.com/question/16863577

#SPJ4

Answer:

C

Step-by-step explanation:

please awnser the equation below

Answers

Answer:

the answer for all of this question should be

C=( -10, -2)

D=(0, -2)

E=(0,8)

F=(-10,8)

so remember the quadruants and remember if the x is negative or positive and if the y is either negative or positive so hopefully those are the correct one and if not tell me whats wrong so i can edit it to make it better.

Step-by-step explanation:

Solve for x in -
6(3x-5)-7x=25

Answers

Step-by-step explanation:

6 ( 3x - 5 ) - 7x = 25..

18x - 30 - 7x = 25

18x - 7x = 25 + 30

11x = 55

x = 55 / 11

x = 5

[tex]...[/tex]

x=5

Step-by-step explanation:

6(3x-5)-7x=25

18x-30-7x=25

11x-30=25

x=5

How many molecules of manganese are there in 1.75 moles? There are 6.02 x10^23 molecules/mol

Answers

Answer:  [tex]1.0535 \times 10^{24} \text{ molecules of manganese}[/tex]

The result is approximate.

=========================================================

Work Shown:

[tex]1.75 \text{ moles} \times \frac{6.02 \times 10^{23} \text{ molecules}}{1 \text{ mole}}\\\\(1.75 \times 6.02) \times 10^{23} \text{ molecules}\\\\(10.535) \times 10^{23} \text{ molecules}\\\\(1.0535 \times 10^1) \times 10^{23} \text{ molecules}\\\\1.0535 \times (10^1 \times 10^{23}) \text{ molecules}\\\\1.0535 \times 10^{1+23} \text{ molecules}\\\\1.0535 \times 10^{24} \text{ molecules}\\\\[/tex]

Note: In the second step, the "mole" units cancel when dividing.

Your friend is supposed to meet you at the beach between 12 pm and 1:30 pm. if you arrive at 12:25 pm and you do not see your friend, what is the probability that you will have missed your friend.
Please and thank you so much for your help!!!!!!

Answers

Answer:5/18

Step-by-step explanation:

1. Find how many minutes (90 minutes in all but you were there for 25)

2. Put 25 over 90 to find the probability in the time that you were not there.

3. Simplify the fraction to 5/18.

calculate the magnitude of the angle ABC from the breeze data

Answers

Answer:

∠ ABC = 67°

Step-by-step explanation:

the angle between a tangent and a chord is equal to the angle in the opposite segment, that is

∠ ABC = ∠EAC = 67°

A city Science High School uses standardized IQ test to screen students for admission. It is known that the population standard deviation of these IQ scores is 15. The school principal claimed that the average IQ of the students in their school is 110. Miss Cruz, a researcher, wants to validate the claim. She selected a random sample of 50 students and administered the IQ test. She found that the mean IQ of the sample is 105. Perform a test of hypothesis at 0.05 level of significance.

Answers

Using the z-distribution, it is found that we reject the null hypothesis, which means that her claim is not validated.

What are the hypotheses tested?

At the null hypotheses, it is tested if the mean is of 110, that is:

[tex]H_0: \mu = 110[/tex].

At the alternative hypotheses, it is tested if the mean is less than 110, that is:

[tex]H_1: \mu < 110[/tex].

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.

In this problem, we have that the parameters are given as follows:

[tex]\overline{x} = 105, \mu = 110, \sigma = 15, n = 50[/tex]

Hence the test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{105 - 110}{\frac{15}{\sqrt{50}}}[/tex]

z = -2.36.

What is the decision?

Using a z-distribution calculator, z = -2.36 has a p-value that is less than the standard significance level of 0.05, hence we reject the null hypothesis, which means that her claim is not validated.

More can be learned about the z-distribution at https://brainly.com/question/16313918

#SPJ1

Divide 15/18 by 6 any answers??

Answers

15/18 ÷ 6
= 15/16 ÷ 6/1
Changing the sign(÷) to multiplication (×), you get the reciprocal of 6/1
= 15/16 × 1/6
= 15/96
= 5/32
= 0.15625

Answer:

[tex] \frac{5}{36} [/tex]

Step-by-step explanation:

[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]

10 Find the standard equation of the circle having the given center and radius.

Answers

the standard equation of the circle having the given center and radius is [tex](x-9)^2+(y-2)^2=\frac{9}{25}[/tex].

[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]​

Answers

Answer:

21.27 cubic meters

22.30 cubic meters

Step-by-step explanation:

We find volume by multiplying height, width, and length.

21.

3x3x3=27 cubic meters

22.

5x2x3=30 cubic meters

Answer:

    21. 27 cubic meters

   22. 30 cubic meters

Step-by-step explanation:

Question 21

Volume = length × width × heightVolume = 3 × 3 × 3Volume = 27 cubic meters

Question 22

Volume = 5 × 2 × 3Volume = 30 cubic meters

Each hour, the number of bacteria in Dr. Nall’s petri dish tripled. What percent is the population compared to the population the hour before?
3%

Answers

9%

I need 20 letters so I'm just typing this but it is 9%

A bag contains 5 blue marbles and 3 yellow marbles. You randomly select two marbles from the bag. What is the probability that both marbles are blue when you replace each marble before selecting the next marble? Write your answer as a decimal rounded to three decimal places.

Answers

Answer:

0.625

Step-by-step explanation:

5/8 because there are 5 blue marbles and there are 3 yellow marbles. If you add them it equals 8.

The probability is 5/8.

If you do 5 divided by 8 it gives you 0.625.

Honestly i don't know what you mean by "rounded to three decimal places."

Sorry if it's not really healpful.

The price of a train ticket from Kansas City to Lexington is normally $110.00. However, the train company is offering a special 25% discount to children under 16. What is the sale price of a ticket from Kansas City to Lexington for someone under the age of 16?

Answers

Answer:

$82.50

Step-by-step explanation:

25% of $110.00 is $27.5, which means 110.0 - 27.5 is equal to = 82.50.

Answer:82.50

Step-by-step explanation:

Using the numbers 1 2 3 4 5 6 7 8 place each number once in the appropriate box so that the final answer is an ancient approximation of Pi

Answers

The approximated value of π using the integer digits 1 2 3 4 5 6 7 8 is is 3.142857

How to approximate the value of π?

The integers are given as:

1 2 3 4 5 6 7 8

The value of π is:

π = 22/7

Evaluate the quotient

π = 3.14285714286

From the question, the digits 1 to 8 have to appear just once.

So, we approximate the number up to the point where any of the given digits has more than one occurrence.

So, we have:

π = 3.142857

Hence, the approximated value of π is 3.142857

Read more about π at:

https://brainly.com/question/15673093

#SPJ1

What are “holes” in algebra 2?

Answers

Answer:

Step-by-step explanation:

A hole exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero.

Please help, thanks

Let ABCD be a square and let ABEFG be a regular pentagon. Find angle BCE.

Answers

Answer:

No figure?

We need a figure to solve for this, please post the figure and I am ready to help!

Help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

the answer is B or at Least I think

(will give brainlist) please help me !!!! i really need help !!! Properly identify the following functions.

Answers

Answer: Choice A

f(x) is exponential

g(x) is quadratic

========================================================

Explanation:

Exponential functions are when the variarble is in the exponent only.

Quadratic functions are polynomials with the largest exponent being 2.

Answer:

f(x) is exponential; g(x) is Quadratic

Vehicle final sale price is $25,000 at 5% interest and offers financing up to 60 months. what is the monthly car payments?

Answers

Answer:

$ 471.78

Step-by-step explanation:

This describes an 'ordinary annuity' ====>   FORMULA:

PV= C [  1-(1+i)^-n / i ]    Looking for C    i = .05/12   n =60   PV = 25000

 plug in the numbers and calculate   C = 471.78

CAN SOMEONE HELP ME PLEASE?

Answers

Answer:

values

x=17

AT = 49 units

OG = 21 units

5b2 square value of b is 4

Answers

Answer:

80

Step-by-step explanation:

5b^2

b equals to 4

=5(4^2)

=5(16)

=80

Answer: 80

Step-by-Step Explanation:

= 5b^2; (b = 4)

On substituting value of ‘b’,
= 5 * (4^2)
= 5 * (4 * 4)
= 5 * (16)
= 80

Find the slope of the line that goes through the given points! A(2,8) and B(4,6)
(WHOEVER ANSWERS FIRST AND CORRECTLY WILL BE BRAINLIEST!!!)

Answers

       [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

       Find the slope of the line that goes through (2, 8) and (4, 6)

     [tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

The slope formula will help us find the slope, Here it is:-

[tex]\Large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]

Now, replace y2 with 6, y1 with 8, x2 with 4, and x1 with 2:-

[tex]\Large\text{$\displaystyle\frac{6-8}{4-2}$}[/tex]

Simplifying,

[tex]\Large\text{$\displaystyle\frac{-2}{2}$}[/tex]

Simplifying further,

[tex]\hookrightarrow\underline{\boxed{\sf{Slope=-1}}}[/tex]

Good luck with your studies.

#TogetherWeGoFar

[tex]\rule{300}{1}[/tex]

Answer:

[tex]\sf \boxed{-1} \ \ is \ the \ slope[/tex]

Explanation:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points: A(2,8) and B(4,6)

Find slope (m):

[tex]\sf \rightarrow \dfrac{6-8}{4-2}[/tex]

simplify

[tex]\sf \rightarrow -1[/tex]

Additional

To find equation:

[tex]\sf y-y_1 = m(x-x_1)[/tex]

[tex]\rightarrow y-8 = -1(x-2)[/tex]

[tex]\rightarrow y = -x+2+8[/tex]

[tex]\rightarrow y = -x+10[/tex]

complete an isosceles triangle that has
the x-axis as a line of symmetry.

Answers

Answer:

See below

Step-by-step explanation:

Since the x-axis is the line of symmetry, the missing vertex is the reflection of the given vertex over the line of symmetry.

The given vertex is (- 2, 4)Its reflection is (- 2, -4), only y-coordinate changes to opposite

Connect these points with the vertex on the x-axis to complete the triangle.

See the attachment

Would somebody be willing to help me please! I really need to pass this lesson!!

Answers

Answer:

x= -2 y= 36 (-2. 36)

x = -1 y = 6 (-1, 6)

x = 1 y = [tex]\frac{1}{6}[/tex] (1, [tex]\frac{1}{6}[/tex])

Step-by-step explanation:

Our function is [tex]y = (\frac{1}{6})^x[/tex]

all we need to do is fill in our x (given in the table) to solve for y

[tex]y = (\frac{1}{6})^{-2}[/tex]

[tex]y = 36[/tex]

[tex]y = (\frac{1}{6})^{-1}[/tex]

[tex]y = 6[/tex]

[tex]y = (\frac{1}{6})^1 = \frac{1}{6}[/tex]

a song has 12 beat in 5 second . how many beats are in 30 seconds

Answers

72 because you have to multiply how many are in 5 seconds, so it would be 12 • 6

Express tan C as a fraction in simplest terms.

SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

[tex]\sf \tan(C)=\dfrac{3}{4}[/tex]

Step-by-step explanation:

First, find the missing side length (DE) by using Pythagoras' Theorem:

a² + b² = c²  

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ 36² + DE² = 45²  

⇒ DE² = 45² - 36²

⇒ DE² = 729

⇒ DE = √729

⇒ DE = 27

Tan trig ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = CO = DE = 27A = 36

Substituting the given values into the formula:

[tex]\implies \sf \tan(C)=\dfrac{27}{36}=\dfrac{3}{4}[/tex]

Answer:

3/4

Step-by-step explanation:

Finding the missing side by applying the Pythagorean Theorem :

a² + b² = c²a² = c² - b²a² = (45)² - (36)²a² = 2025 - 1296a² = 729a = 27

Finding tan C :

opposing side of ∠C / adjacent side of ∠CDE / CD27/363/4

Marsha sold 78 boxes of cookies. 51 boxes
were chocolate mint cookies. Of the remainder
sold, 1/3 were peanut butter crunchies. How many
boxes of peanut butter crunchies did Marsha sell?

Answers

Answer: 9

Step-by-step explanation:

78 subtract 51 is 27. One third of 27 is 9.

If m<1 = 40 degrees , what is m<2 m<3 and m<5

Answers

Answer & step-by-step explanation:

Corresponding Angles:   m∠1 = m∠5;  m∠2 = m∠6;

                                          m∠3 = m∠7;  m∠4 = m∠8

Alternate Interior Angles: m∠3 = m∠6;  m∠4 = m∠5

Alternate Exterior Angles: m∠1 = m∠8;  m∠2 = m∠7

As you can see on the picture below:

Simplify: √(x^2-6x+9) if x<3

Answers

3-x i believe because of the parameter that x is less than 3

HELPPPPPPP! DUE TOMORROW

Answers

Answer:

Angle 1 = 63.3

Angle 2 = 37.3

Angle 3 = 63.3

Angle 4 = 142.7

Step-by-step explanation:

When a line intersects two parallel lines the interior angles are equal. So angle 2 = 37.3

Angle 3 = 180 - (79.4 + 37.3) = 63.3 since the sum of the angles on a straight line must be 180

Ange 1 = Angle 3 = 63.3

Angle 4 = 180-37.3 = 142.7

Other Questions
Please assist with a question I am stuck on. How many missions did the Tuskegee Airmen fly? A packet of biscuits is shared between two people so thatone person gets three times as many as the other. Writedown the ratio involved. If there are 20 biscuits in thepacket, how many does each person get? What is the slope of the line? Question 2 of 10The expression 3x is equivalent to the expression x3. which of the following describes lambic pentameter? Use the passage to answer the question. Drag each effect from Little Women to its cause. Laurie asks Jo to come. Laurie looks out. Jo goes to meet the boy next door. Jo likes adventures. Jo threw a snowball at the window. Laurie is lonely and bored. The distance traveled by a car traveling at a constant speed is directly proportional to the time spent traveling. If the car went 910 miles in 13 hours, how far will it go in 14 hours 1. Use the function f (x) to answer the questions:f(x) = 2x^2 3x 5Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points) 2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)Part C: Describe the constraints of the domain. (3 points) I promise to give braInliest to the correct answer. What is the m1?21427182 identify the rational numbers represented by the letters on the number line. Which of these is not one of the three uses of money?a medium of exchangea store of valuea means to bartera unit of account 15. A cone has a radius of 9 cm and slant height of 12 cm. Find its surface area.A. 593.46 cm B. 693.46 cmC. 793.46 cm D. 893.46 cm Answer this, Ill give you brainliest and would be very appreciative. Refining Discussion Techniques Project: Group Discussion [HERE'S THE FULL ESSAY]For my group discussion I gathered three of my friends to Discuss whether the New California Republic would win the war against the legion in Fallout: New Vegas. I believe Everybody made their points effectively and clear, with all of us deciding unanimously on the New California Republic.To prepare for the discussion, I played Fallout for half an hour and read through some Fallout comic books, this prepared me well. We each spoke in turns, making all of our points seperately to present them more clearly. Our perspectives may have affected this because many of us may have been biased toward the New California Republic.We debated heavily at times, but using examples of previously successful endeavors usually settled those debates, and we always remembered to stick to the facts. While many of our perspectives are similar there were many differences, like when Cain had a more lenient opinion of the Legion since he was the only one who had beat them on his first play of the game, this influenced all of our opinions in part and made us think of them in a different way.We tried to keep the discussion grammatically correct, but it often delved into casual conversation given the subject at hand. I used proper enunciation during any points where I wanted it to be remembered. Eventually toward the end we all started agreeing when we all thought of the way the Legion approached their first battle to take the hoover dam, this was the event that cleared up a lot of the disagreements we were having about the Legions ability. All in all the discussion was very fun and strengthened all of our opinions significantly about the subject. If Sam invested $3,000 and he earned $300 over six months, the return is _____.six months$3,300$300$3,000 Identify an equation in slope-intercept form for the line parallel to y = 4x - 9that passes through (-5,3).O A. y = 4x - 23O B. y - 1x+454xO c. y = 4x+23O D. y= - 4x + 7 an element, X, and sulfur were chemically combined to form a covalent compound, XS. (a) Which group does X belong to? Explain your answer. (b) draw a 'dot and cross diagram ro show the bonding between X and sulfur for the compound XS (draw only the valence electrons) 12% of 59.7 is what number? Identify and discuss three (3) distinguishing features of African cosmological andmetaphysical worldview?