Mrs. King is buying a solar cover for her rectangular
swimming pool. The cover will float on the surface of the
pool and has the same dimensions as the pool. The pool is
twice as long as it is wide. Its width is 14 feet. What is the
area of the solar cover?
А
392 ft?
B
352 ft?
с
84 ft?
98 ft

Answers

Answer 1

Answer:

Option A

Step-by-step explanation:

If the length is twice as long as the width (14 ft), that makes it 28 ft. (14 x 2=28)

14 ft x 28 ft = 392 square feet

Answer 2

Therefore, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given that,

Mrs. King is buying a solar cover for her rectangular swimming pool. The cover will float on the surface of the pool and has the same dimensions as the pool.

The pool is twice as long as it is wide. Its width is 14 feet.

If the length is twice as long as the width [tex]14ft[/tex], that makes it [tex]28 ft[/tex].

Then the [tex](14 (2)=28)[/tex].

So,

[tex]14[/tex] ft x [tex]28[/tex] ft = [tex]392[/tex] square feet

Hence, the area of the solar cover is [tex]392[/tex] square feet. i.e., option (A) is the correct answer.

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Related Questions

Ivan makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.

Answers

Answer: p=8h

Hope this helped

Step-by-step explanation:

How do u write 0.57 repeating as a fraction in simplest form explain the steps please!

Answers

Answer:

57/99

Step-by-step explanation:

let's set up an equation:

x = 0.5757...

set up a second equation so the numbers after the decimal places are equal

100x = 57.5757...

subtract

100x = 57.5757...

- x = 0.5757

99x = 57

divide by 99

x = 57/99

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

We have,

Let x = 0.575757... (with 57 repeatings)

Multiplying x by 100,

100x = 57.575757...

Subtracting the original x from 100x,

100x - x = 57.575757... - 0.575757...

99x = 57

To obtain x, divide both sides by 99:

x = 57/99

Dividing both the numerator and denominator by 3,

x = (57/3) / (99/3)

x = 19/33

Therefore,

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

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Eliminate the y in the following system of equations. What is the result when you add the two equations?
x+y=2
3x-4y=27

A.7x=29
B.x=-23
C.7x=35
D.4x=29

Answers

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

What’s the answer too this problem?

Answers

Think about the rule when multiplying powers together.

When multiplying two powers that have the

same base, simply add their exponents.

In this problem, each power has a base

of a and our exponents are m and n.

So adding these exponents together, we have a^m + n.

A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
0 56 cm
O 65 cm
O 74 cm
N

Answers

Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter

Use the numbers 1 through 9(each number only once) in the following arrangement to make three equal fractions.

plz help ​

Answers

Answer:

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]

Step-by-step explanation:

By hit and trial method,

Given series of fractions will be,

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]

Since, [tex]\frac{3}{6}=\frac{3\times 1}{3\times 2}[/tex]

             [tex]=\frac{1}{2}[/tex]

[tex]\frac{7}{14}=\frac{7\times 1}{7\times 2}[/tex]

    [tex]=\frac{1}{2}[/tex]

[tex]\frac{29}{58}=\frac{29\times 1}{29\times 2}[/tex]

    [tex]=\frac{1}{2}[/tex]

Therefore, [tex]\frac{1}{2}=\frac{1}{2}=\frac{1}{2}[/tex] is the reduced form of the fractions.

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex] will be the answer.

the product of -3 and the square of a number decreased by 8.

Answers

Answer:

[tex]n^{2}(-3) -8[/tex]

Step-by-step explanation:

So the "product of" means the answer to a multiplication problem. That means -3 is being multiplied by a number which is squared. I used the variable "n" for number but you could use any letter you want.

This is what we have so far,

[tex]n^{2} \\[/tex] x -3 or [tex]n^{2}[/tex](-3)

The term decreased means to reduce or subtract. Which means we are left with....

[tex]n^{2}(-3) -8[/tex]

Hope that helps and have a great day!

Solve the formula for the indicated variable. W=XYZ solve for y.

Answers

Answer:

W÷XZ= Y

Step-by-step explanation:

isolate the variable by dividing :)

Answer:

W÷XZ= YStep-by-step explanation:

What is 4(5n+7)-3n=3(4n-9)
Simplified?

Please help this us due tomorrow and I’m stuck

Answers

20n + 28 - 3n = 12n - 27
5n + 28 = -27
5n = -55
n = -11

Did I do this right?

Answers

Answer:

no i dont think so

Step-by-step explanation:

1) multiply both sides by p

5/9=-10p

2) divide by -10 to get p

5/9 divided by -10/1

(keep, change flip)

5/9* -1/10

-5/90

therefore p=-5/90

Answer:

No, the answer is -18

Step-by-step explanation:

[tex]\frac{5}{9}[/tex]p = -10

[tex]\frac{5p}{9}[/tex] = -10            CROSS MULTIPLY

-90=5p             DIVIDE BOTH SIDES BY 5

-18 = p

what is the equation of the line parallel to the line y=1/4x+5 and passing through the point (2,-1)

Answers

Answer:

The answer is

[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The equation of the line is

y = 1/4x + 5

Comparing with the general equation above

Slope / m = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point (2,-1) and slope 1/4 is

[tex]y + 1 = \frac{1}{4} (x - 2) \\ y - 1 = \frac{1}{4} x - \frac{1}{2} \\ y = \frac{1}{4} x - \frac{1}{2} + 1[/tex]

We have the final answer as

[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]

Hope this helps you

6 less than twice a number.

Answers

Answer:

X × 2 - 6

Step-by-step explanation:

"Twice a number" means that it needs to be multiplied by two and "6 less than" means you need to subtract 6 at the end.

Richard buys a new car for $28,000. The car depreciates in value by 9% each year. Write an expression model to represent this situation. Use the variable y to represent the value of the car after t years.

Answers

Given :

Worth of new car , C = $28000 .

Depreciates in value of car , D = 9 % .

To Find :

Use the variable y to represent the value of the car after t years.

Solution :

Depreciation formula is given by :

[tex]y=C(1-\dfrac{D}{100})^t[/tex]

Putting all given values , we get :

[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]

Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .

Hence , this is the required solution .

Please 20 points ASAP

Answers

a. (-1, 1)

b. (2, 7)

c. (1, -1)

hope this helps :)

Answer:

a.  -1, 1

b.  2, 7

c.  1, 1

Please help me ASAP 100 PTS

Answers

Answer:

The second choice

Step-by-step explanation:

Perimeter is calculated by adding the length and width but multiplied by 2. You add 3.2 and 1.5 and get 4.7. Multiply 4.7 by 2 would give you 9.4.

Area is multiplying the length and width. 3.2 multiplied by 1.5 would be 4.8

The answer is B.P=9.4 m, A 48m^2

Can someone help please

Answers

Answer:

[tex]x > \frac{16}{3} [/tex]

Step-by-step explanation:

[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]

22 + 14x = 14x + 22
Is this Commutative, Distributive, or Associative

Answers

Answer:

I think the answer is Associative.

Step-by-step explanation:

That's Commutative (a + b = b + a)

I hope Can to Help You ^_^

the midpoint of ab is m (3,-4). If the coordinates of A are (8,-5), what are the coordinates of B

Answers

Answer:

work is attached and shown

The coordinates of the midpoint will be (-2,-3).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-4) and the coordinates of A are (8, -5).

The midpoint will be calculated by using the formula below:-

( 8 + x ) / 2 = 3

( 8 + x ) = 6

x = -8 + 6 = -2

( -5 + y ) / 2 = -4

( -5 + y ) = -8

y =  -8 + 5 = -3


Therefore, the coordinates of the midpoint will be (-2,-3).

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PLEASE HELP!!!
Use the figure and find PT.
PT = 7x - 24 and TQ = 6x-2

Answers

Answer:

PT= 130

Step-by-step explanation:

Since T is the midpoint of segment PQ,

PT = TQ

7x - 24 = 6x-2

Subtract 6x both sides and add 24 both sides

7x -6x - 24 = 6x -6x -2

x - 24 + 24 = -2 + 24

x= 22

Substitue x into PT

7(22) - 24

154 - 24

PT= 130

What is the midpoint of AB?

Answers

Answer:

-4

Step-by-step explanation:

It’s -4

Answer:

(-4,-0.5)

Step-by-step explanation:

Sally buys a large drink every day for a full year (365 days). Each drink costs $2.82. Sally always pays $3.00 and drops her change in the tip
jar.
Which is the amount Sally tips in a year?

Answers

Answer:

$65.70

Step-by-step explanation:

She would be giving 18 cents each day for 365 day so you multiply 18x365 which equals 6570 and that written in dollars is $65.70

A very large book has pages numbered from 1 to 11521. How many times is the digit 3 printed? Helppp

Answers

Answer:

The total number of pages from page X to page Y is Y minus X plus 1.

So from 1 to 9, there are 9 minus 1 is 8 plus 1 is 9.

Step-by-step explanation:

Chuck is making a scale drawing of his house. He is using the scale 1 inch = 5 feet. The dimensions of his actual house are 45 feet by 75 feet. What are the dimensions of Chuck’s house on the drawing?

Answers

Answer:

9 inch by 15 inch

Step-by-step explanation:

45/5=9 in

75/5=15 in

Erica runs 5.3 kilometers every morning. One day, she runs 0.95 kilometers and then stops to take a break. How much further does Erica have left to run?

Answers

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

if segment ac has a midpoint of b, and ab=32 and bc=5x+7, what is the length of segemnt bc

Answers

Answer:

             BC = 32

Step-by-step explanation:

B being midpoint of AC means:

BC = AB = 32

K ( -3, 7 ), and L ( 8, 7 what is the slope?

Answers

7-7
___
8-(-3)




0
_
11


Slope =0

i dont know can someone help me​

Answers

Answer:

x = 11/4

Step-by-step explanation:

[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]

Step 1: Cross-multiply.

[tex](x+8)*(8)=(6x+5)*(4)[/tex]

[tex]8x+64=24x+20[/tex]

Step 2: Subtract 24x from both sides.

[tex]8x+64-24x=24x+20-4x[/tex]

[tex]-16x+64=20[/tex]

Step 3: Subtract 64 from both sides.

[tex]-16x+64-64=20-64[/tex]

[tex]-16x=-44[/tex]

Step 4: Divide both sides by -16.

[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]

[tex]x = \frac{11}{4}[/tex]

Please Help!!! 20 Points! Brainliest Answer! 2 questions

Answers

Answer:

Step-by-step explanation:

its D which is 7

A freight company using a semi truck has been hired to transport a container with a mass of 64,0000 mg. The truck can carry a maximum load of 5920 kg. Can the truck safely carry the container?

Answers

Answer:

Yes, many times over.

Step-by-step explanation:

I'm sure there is a typo in the question.

640,000 mg = 0.64 kg

HELP ME PLZ, I GIVE BRAINLIEST TO THE PERSON WHO GET'S IT RIGHT

Answers

Answer:

f(x)+3 =9+3 =12

2f(x)=2*9=18

2f(x)+3= 18=3 =21

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