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

Find the value of X

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

What is the circumference of the circle
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:

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.

I need help with number 11 just the answers no need to show work!

Answers

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

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

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

Answers

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

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.

What is a sales tax?

Answers

Sales tax is an additional amount of money you pay based on a percentage of the selling price of goods and services that are purchased. For example, if you purchase a new television for $400 and live in an area where the sales tax is 7%, you would pay $28 in sales tax. Your total bill would be $428.88

HELP PLS
Raise 5 to the 9th power, then subtract j from the result

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
1,953,125-j

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

Answers

y^2 my teach taught me this last year

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

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.

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

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

Answers

Answer:

9 laps

Step-by-step explanation:

Helped need plzs , due by 11:59

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.

This results in the equation " 2x - 13 = 7" First, add 13 to both sides of the equation to get rid of the -13. This gives 2x = 20. Then divide both sides by two to cancel out and get rid of the 2 in 2x. This leaves x as 10.

Need help this is for MATH

Answers

Answer:

It is D or B. If i am not mistaken

what is a simplified fractional eqeuvilent of a teminating decimal .68

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

The square root of the quotient of a number n and 3 is equal to the square root of 4 less than the number. Which of the following is the value of n?

Answers

Answer:

6

Step-by-step explanation: You can set up the equation: [tex]\sqrt{\frac{n}{3} }[/tex] = [tex]\sqrt{n-4}[/tex] You square both sides to cancel out the squares which leaves you with [tex]\frac{n}{3}[/tex] = n - 4. Then you just solve as normal which ends you up with an answer of 6. You can check this by plugging 6 back into the equation and see that you end up with [tex]\sqrt{2}[/tex] on both sides.

1. You roll a blue number cube and a green númber cube. Find P a number greater than.2 on the blue cube and an odd number on the green cube.

Answers

Answer:

orange

Step-by-step explanation:

HELP ME PLEASE

90 POINTS

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.

HELP!!! 15 POINTS!!!!

Answers

Answer:

Nothing

Step-by-step explanation:shahhahhahahahhaha

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:

What is the y-intercept of the function?

Answers

Answer:

-5

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.

- Which number line represents the solution to the inequality -5x +18> -22 ?

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

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.

Answers

Answer:

16.6

Step-by-step explanation:

1. Write the equation of the circle given the following information. *
Center (-8,-9) and a radius r= 10

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.

b represents the y displacement of the circle's center.

can someone help me !

Answers

Angle 1 and Angle 3

This is because the two angels are congruent due to the consecutive angles theorem,

The answer is g
Because angles 1 and angle 3 are corresponding

PLS HELP! ASAP!

Find the value of x in the triangle below

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

CAN ANYONE HELP ME PLSS?

Answers

Answer: The domain is the 3rd answer

Step-by-step explanation:

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:

3/5 : 1/3 = 2/3 : xx = 2/3*1/3 : 3/5x = 2/9 * 5/3x = 10/27  
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