Emily knows that the area of a rectangle is 54x9y8 square yards and that it’s length 6x3y4 yards. If she divides the area by the length to find the width, then which expression represents the width of her rectangle in yards?
A 9x3y2 B 48x6y4 C 9x6y4 D 60x12y12

Answers

Answer 1

Answer:

Width of the rectangle is: [tex]\mathbf{Width= 9x^6 y^4}[/tex]

Option C is correct.

Step-by-step explanation:

Area of rectangle = [tex]54x^9y^8[/tex]

Length of rectangle = [tex]6x ^ 3y^4[/tex]

We need to find width of rectangle.

The formula used is:

[tex]Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}[/tex]

Putting values in the formula to find Width of rectangle

[tex]Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}[/tex]

Using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]

and simplifying the terms we get

[tex]Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}[/tex]

So, Width of the rectangle is: [tex]\mathbf{Width= 9x^6 y^4}[/tex]

Option C is correct.


Related Questions

WHAT IS THE RATE OF CHANGE HELP!!

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Answer:

B) Y=85x

Step-by-step explanation:

The actual rate of change is 75 so you need to find which one(s) have a greater one. The other 2 that are equations have a less rate of change so it is B.

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It is -2.1 cm

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Answer:

x = 10.296

y = 5.831

Step-by-step explanation:

You can use the Pythagorean theorem to solve the triangles shown in various ways.

9²+5²=x²

x = 10.296

5²+3²=y²

y = 5.831

what does The standard deviation mean ?

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Answer:

Definition: Standard deviation is the measure of dispersion of a set of data from its mean. It measures the absolute variability of a distribution; the higher the dispersion or variability, the greater is the standard deviation and greater will be the magnitude of the deviation of the value from their mean.

Answer:

I'm on the same thing. If I'm being honest I have no idea what it is and I'm kinda freaking out bc my school stuff is due tomorrow.

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Answer:

A. E = 20H

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Step-by-step explanation:

E = 20(19) since she worked 19 hrs. This equals 380

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Answer:

X=67.5

Step-by-step explanation:

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Identify the transformation, and its congruence transformation?

Answers

Answer:

Reflection

Step-by-step explanation:

You only flip the triangle it doesn't rotate or slide so its Reflection

The price of one share of a company declined $3.50 per day for 4 days in a row. What is the overall change in the price of one share?

Answers

Answer:

$3.50

Step-by-step explanation:

"per" means that that is the unit rate

(yes, I meant to say that that)

1. 34.5x when x = 4.2
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Answers

144.9 is the solution for the expressy
149.1 that’s the answer

Name the three points shown by black dots on the graph below as ordered pairs. Put a comma and a space between each ordered pair.

Answers

Answer:

(10, 40), (15, 60), (25, 100)

Step-by-step explanation:

(x, y) = (10, 40) means x = 10, y = 40

Choose yes or no to tell if the number 10 to the third power will make each equation true

Answers

Do you have a picture of a graph or can you take a picture of your screen so I can help you

Answer:

I need to see the equation to solve it.

Step-by-step explanation:

what is the equation of the line through (4, -3) and (0, -2)?

Answers

Answer:y=-1/4x-2

Step-by-step explanation:

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Answers

Answer:

-1.75

Step-by-step explanation:

We know that the midpoint formula is [for the x-coordinate per say] x = 1/2x1 + 1/2x2. If we want to find a point that lies 1/4th of the way we use x = 3/4x1 + 1/4x1. How? Because the point lies 1/4th from one endpoint and 3/4th from the other.

x = 3/4x1 + 1/4x2,

x = 3/4(-3) + 1/4(2) = -9/4 + 2/4 = -7/4

= - 1.75

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Nancy and her friends decided to have a water balloon fight they got water balloons and used 6 liters of water to fill them all equally. How much water in each balloon write your answer as a proper fraction or mixed number

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Answer:

Step-by-step explanation:

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Erin needs to make at least a 75 on her semester exam to maintain a B in the class. Which
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Answer:

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Step-by-step explanation:

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5 cal

Step-by-step explanation:

They sold 4 cakes in one day.

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1 is b because...
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2 is c because...
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3 is a because...
1/2 (5)+1 = 3.5
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Dianne went to the grocery store and bought 4 pounds of chicken at $3 per pound, 5 cans of green beans at $0.88 each and 2 pounds of potatoes at $1.80 per pound. If she paid with a . $50 bill, how much change will Dianne have?​

Answers

Answer:

30 dollars is the amount of change she will have

Answer:

$30 is the amount of change she will have.

Step-by-step explanation:

What is the result when 4x^4-11x^3-24x^2+19x-124x 4 −11x 3 −24x 2 +19x−12 is divided by x-4x−4? If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+ b(x) r(x) ​ .

Answers

Answer:

Remainder = zero

Answer = (4x^3)  +(5x^2) -4x +3  or 4x³ +5x²-4x+3

Step-by-step explanation:

        (4x^3)  +(5x^2) -4x +3        

x-4√4x^4-11x^3-24x^2+19x-12               We multiply (x-4) by  4x³      

        4x^4-16x^3

       -          +          

                5x^3-24x^2+19x-12

                 5x^3-20x^2                          We multiply (x-4) by  +5x²    

                -          +        

                        -4x^2+19x-12

                         -4x^2+16x                          We multiply (x-4) by - 4x

                         +         -            

                                    3x-12

                                     3x-12                      We multiply (x-4) by +3

                                  -       +          

                                 zero remainder

We keep multiplying the factor  (x-4)  by different terms to get the first term desired in each step . Then we subtract by changing the signs and get the remainder.

The answer is the expression obtained at the top.

4x^4-11x^3-24x^2+19x-124 /x-4 = 4x³ +5x²-4x+3

A company makes steel rods shaped like cylinders. Each rod has a radius of 2 centimeters and height of 70 centimeters. How much steel will the company need to make 243 rods? Use 3.14 for pie, and round your answer to one decimal

Answers

Answer:

213,645.6cm³

Step-by-step explanation:

Area of a cylinder is expressed as;

V = πr²h

r is the radius = 2cm

h is the height = 70cm

Get the volume of one rod;

V = πr²h

V = (3.14)(2)²(70)

V = (3.14)(4)(70)

V = 879.2cm³

one steel = 879.2cm³

243 rods = x

Cross multiply;

x = 879.2 * 243

x = 213,645.6

The company will need 213,645.6cm³ volume of steel to make 243 rods

Which equation has no solution?


A. −6|x|=−18

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C. 6|x|=0

D. 5|x|=5

Answers

Answer:

C

Step-by-step explanation:

HELP!!!
What is the equation of this line?



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Answers

Answer:

C. Y = 2/3x + 9

Step-by-step explanation:

I believe that is the answer because I graphed it. Although I could be incorrect.

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Answers

d-13=5 is actually suppose to be solved liek this:

d - 13 = 5

   +13   +13

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What is the area of this triangle?

Answers

Answer:

what triangle????????????????????????????

The Dubois family has $5000 set aside for an upcoming vacation in the family plans to spend 1/4 of this amount on gasoline for the drive and motel rooms along the way and 1/2 of the remainder on meals how much does the Dubois family spend on meal

Answers

Answer:

$1875

Step-by-step explanation:

Money available with Dubois family = $5000

Money to be spent on gasoline and motel room = [tex]\frac{1}{4}[/tex] of the total amount

Therefore,

Money to be spent on gasoline and motel room = [tex]\frac{1}{4} \times 5000 = \$1250[/tex]

Remaining amount of money = Total amount - Money spent on gasoline and motel room  

Remaining amount of money = $5000 - $1250 = $3750

As per question statement:

Half of the remaining money is to be spent on meals.

i.e. Money to be spent on meals = [tex]\frac{1}{2}\times \$3750 = \bold{\$1875}[/tex]

Therefore, the answer is:

$1875

What is the measure of B?

Answers

44 bc c is 90 and the other is 46 , all together it would equal the area of a triangle which is 180°

a rectangle has vertices (0,0), (2k,0) and (0,k) find the fourth vertex

Answers

(2k,k)

Since it is at the same x-axis as (2k,0) and the same y-axis as (0,k), that is the answe

If a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that the rectangle has vertices (0,0), (2k,0), and (0,k).

A(0,0)
B(2k,0)

C(0,k)

D(x,y)

Since the opposite of the rectangle is the same it will be opposite to one of the coordinates shown in the graph.

To uniquely identify points on a plane, use ordered pairs and the rectangular coordinate system (x,y). Pairs that are ordered show position in relation to the origin.

The x-coordinate shows the left and right sides of the origin. Y-coordinate positions are above or below the origin.

Thus, if a rectangle has vertices (0,0), (2k,0), and (0,k)  the fourth vertex will be (4,8).

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ5

Mrs. O'Brien purchases 112 ounces of laundry detergent for $13.44. Mr. O'Brien purchases a 280 ounce container of laundry detergent for $19.60. What is the difference in the unit price per ounce for the laundry detergents Mr. And Mrs. O'Brien purchase

Answers

Answer:

$0.05 per ounce

Step-by-step explanation:

Mrs. O'Brien purchases 112 ounces of laundry detergent for $13.44.

Units price = Total cost of the detergent / number of ounces

= $13.44 / 112 ounces

= $0.12 per ounce

Mr. O'Brien purchases a 280 ounce container of laundry detergent for $19.60.

Units price =Total cost of the detergent / number of ounces

= $19.60 / 280 ounces

= $0.07 per ounce

Difference in the unit price per ounce for the laundry detergents Mr. And Mrs. O'Brien purchase = $0.12 per ounce - $0.07 per ounce

= $0.05 per ounce

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