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

In the following expressions identify the leading coefficiant and constant term for each:
5x{little corner 2} - 10
and
-x{little corner 2} - 10x + 2

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y^2 my teach taught me this last year

Which expression is equivalent to
(5x^3)(2x)^2

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Answer: 20x^5
have a good day! =)

Kyle ran to the number of laps Taylor ran was 2 to 3.

If Kyle ran 6 laps, how many laps did Taylor run?

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Answer:

9 laps

Step-by-step explanation:

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I wish I could help but I can’t see the it

what is the answer to this radical equation
[tex]\sqrt{x + 13=7}[/tex]

Answers

Answer:

x = 36

Step-by-step explanation:

Given

[tex]\sqrt{x+13}[/tex] = 7 ( square both sides )

([tex]\sqrt{x+13}[/tex] )² = 7²

x + 13 = 49 ( subtract 13 from both sides )

x = 36

[tex]\sqrt{x+13}=7\\[/tex]

To solve the radical equation, completing the square all whole equation.

[tex](\sqrt{x+13})^2=7^2\\[/tex]

As defined, [tex](\sqrt{x})^2 =|x|[/tex]

Therefore, [tex](\sqrt{x+13})^2=|x+13|=x+13[/tex]  (Although Absolute Function gives 2 conditions, however - domain of radical function must be greater than or equal to 0. Meaning x < 0 for another condition doesn't apply.)

[tex]x+13=49\\x=49-13[/tex]

Move 13 to subtract.

[tex]x=36[/tex]

Therefore, the answer is x = 36.

through: (3,-2) and (0, -2)

Answers

Answer: IF FINDING THE EQUATION,
y= -2


Explained : m came out to be zero, so there is no mx term.

1. Lauren’s scores on her four math tests are: 83%, 79%, 94%, and 96%. What is the lowest score Lauren needs to achieve an average score greater than 85?

2. Twice an integer increased by 6 is less than 48.

A. Write an inequality.





B. What is the largest integer this could be?

Answers

Answer:A

Step-by-step explanation:

5. What is the perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2?

Answers

Answer:

14x-2

Step-by-step explanation:

In order to find the perimeter we need to add the length and width together. So adding 5x and 9x gives us 14x. -4+2=-2

The perimeter of a rectangle with a length of 9x - 4 and a width of 5x+2 is, 28x-4

What is the perimeter?

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

length of rectangle = 9x - 4

width of  rectangle =  5x+2

As we know,

Perimeter = Sum of length of the all the sides

Perimeter =  (9x - 4) + (5x+2) + (5x+2) + (9x - 4)  

Perimeter =  28x-4

Hence, The perimeter is  28x-4

To know more about Perimeter check:

https://brainly.com/question/6465134

#SPJ2

Need help this is for MATH

Answers

Answer:

It is D or B. If i am not mistaken

Circle K has a diameter of 10 centimeters and a major arc RS is intercepted by a central angle of 190°. Find the length of major arc RS . Round to the nearest tenth.

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Answer:

16.6

Step-by-step explanation:

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Answer:

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Step-by-step explanation:shahhahhahahahhaha

What is the y-intercept of the function?

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Answer:

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Step-by-step explanation:

Hitomi has a total of 30 red and blue bowling balls at her bowling alley. Each red ball weighs 8 lbs. Each blue ball weighs 9 lb. If the total mass of the blue balls is 49 lb. heavier than the total mass of the red balls, how many red balls does she have?

Answers

Answer:

5 balls

Step-by-step explanation:

Answer:

It is 13 balls.

Step-by-step explanation:

9(30-x) = 8x + 49 is the equation.

HELP ME PLEASE

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Answers

Answer:

first lets write down the statement

"The definition of good mathematical problem is the mathematics it generates rather than the problem itself"

Andrew Willes

ANSWER:

People interpret things differently there have been math problems that were told to be unsolved until someone viewed it differently and solved it. If you never try it, you will never solve it. Some problems seem simple but you try them for a year, ten years, a hundred years and it turns out they are extremely hard to solve. Simple but challanging math problems.  The Good Math problems are those that look simple but are hard to solve. The problem itself looks simple But the math it generates is hard and complex to solve.

It is saying that to have a good mathematical problem depends on what that problem is (generates)

Some mathematical problems will be easier or harder than others.

But It is saying that the definition of a good problem is because it's mathematical not what the quesiton is.

Hunter took out a $3500 loan with interest to pay for some business supplies. He will repay The loan and three years with monthly payments of $109.68. What is the total amount of interest hundred will pay? ( there's no answer choices)

Answers

Answer: $448.48

Step-by-step explanation:

The amount Hunter will pay in total is;

= 109.68 * 12 months * 3 years

= $‭3,948.48‬

Interest he will pay = Amount paid - Loan amount

= ‭3,948.48‬ - 3,500

= $448.48

8th grade math pls help

Answers

Answer:

6/4 = 3/2

just count the rise/run

Step-by-step explanation:

Answer:

The slope is 3/2

Step-by-step explanation:

We'll call the bottom point (-3,-2) and the top point (1,4). We could rise/run the rise would be 6 units and the run would be 4 units. And we can simplify 6/4 to 3/2.

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Answers

Answer:

should be 80, angle 50 is congruent on both sides to 50+50 equals 100. The triangle sum theorem says a triangle adds up to 180 degrees so we are left with 80, X=80 degrees

the total angle is 180.

50 + 50 + x = 180

thus , x = 80

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Answers

Answer:

orange

Step-by-step explanation:

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A. 18.84
B. 17.6
C. 21.79
D. 15.65

Answers

Answer:

18.84

Step-by-step explanation:

The formula for circumference is 2(pi)r, I think. The radius is 3. 3 times 2 is 6. 6 times 3.14 is around 18, I think.

hope this helps

Answer:

A

Step-by-step explanation:

1. Write the equation of the circle given the following information. *
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Answers

Answer:

(x+8)² + (y+9)² = 100

Step-by-step explanation:

The equation for a circle on a graph is

(x - a)² + (y - b)² = r²

r represents the radius

a represents the x displacement of the circle's center.

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Answers

Answer:

17/25

Step-by-step explanation:

0.68 is read as "sixty-eight hundredths."

Write sixty-eight hundredths as a fraction: 68/100

Now we reduce 68/100.

68/100 = 34/50 = 17/25

Answer:

17 /25

Step-by-step explanation:

0.68

is the same as  

6

10

+

8

100

=

68

100

68

÷

4

100

÷

4

=

17

25

As 17 is a prime number we stop at this point. srry if this in not correct

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Answers

Answer:

B

Step-by-step explanation:

the symbol is gonna mean thats is finna be a closed circle, so then B is your only option

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Step-by-step explanation:

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Answers

Answer:

expression is ([tex]5^{9}[/tex]) - j

Step-by-step explanation:

^^

5 is raised to the 9th power and then subtraced by j

you dont *really* need the () bc of pemdas but whatever

5^9=1953125
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Answers

Answer:

6

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Answers

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Answers

Answer:

the answer is 56

Step-by-step explanation:

because it is an equilateral triangle the other side is 62 so you add 62+62=124 180-124=56

A baker needs 3/5 cup water for every 2/3 cup flour. Using this ratio, how much flour is needed for 1/3 cup water?

Answers

Answer:

10/27  cup of flour

Step-by-step explanation:

Use the ratio below and solve for x:

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Answers

Answer:

x = 10

Step-by-step explanation:

The two triangles are similar, and it says that VUT is similar to EFG so side VT corresponds to side EG which means that 8 is just side VU divided by 2.

This means that side EG is 14 divided by 2 and that is 7.

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