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kenny6666 [7]
4 years ago
15

A rectangular pool is 40 feet by 20 feet. The portion of the pool that is reserved for recreational swimming is 20 ft by 10 ft.

The rest of the pool is reserved for the swim team. How many square feet are reserved for the swim team?
Mathematics
2 answers:
labwork [276]4 years ago
8 0
The answer is 30ft by 10ft.
Ilia_Sergeevich [38]4 years ago
8 0

Answer:

The area reserved for the swim team is 600 square feet.

Step-by-step explanation:

Given : A rectangular pool is 40 feet by 20 feet. The portion of the pool that is reserved for recreational swimming is 20 ft by 10 ft. The rest of the pool is reserved for the swim team.

To find : How many square feet are reserved for the swim team?

Solution :

Dimension of a rectangular pool is 40 feet by 20 feet.

The area of the rectangular pool is

A_R=L\times B

A_R=40\times 20

A_R=800 ft.^2

Dimension of a recreational swimming pool is 20 ft by 10 ft.

The area of the recreational swimming pool is

A_r=l\times b

A_r=20\times 10

A_r=200 ft.^2

If we subtract the area of the recreational swimming pool from the total area of rectangular pool we get the area reserved for swim team.

A_R-A_r=800-200=600 ft.^2

Therefore, The area reserved for the swim team is 600 square feet.

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LenKa [72]

one-half average method means there is bonus which is equivalent to over time * half of average hourly rate.

Let us calculate earnings using normal method first.

We are given that 14$ paid for first 40 hours and $11.8 for next 7 hours.

So, net pay would be 14*40+11.8*7 = $642.6

Now we need to find bonus pay using one-half rate method.

That bonus = over time * half of the average hourly rate

Average hourly rate = income earned/total number of hours

                                  =\frac{642.6}{47} = $13.67

Hence bonus = 7*\frac{13.67}{2}= $47.85

Gross pay using one-half average method= net pay + bonus

                                                                      =642.6+47.85

                                                                      = 690.45$

6 0
4 years ago
Hard math question!
luda_lava [24]
First, let me show you some notation.

To show a matrix is an inverse of another matrix, we write A^{-1}

-1 is not an exponent. It just shows that a matrix is an inverse of another matrix.

For a 2x2 matrix, we can get the inverse by first making b and c negatives and swap the positions of a and d.

Then multiply each entry in the matrix by 1 divided by the determinant.

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right]^{-1} = 
  \frac{1}{ad - bc}\left[\begin{array}{ccc}d&{-b}\\{-c}&a\end{array}\right] =  \\  \\ \\ \left[\begin{array}{ccc}d(\frac{1}{ad-bc})&{-b}(\frac{1}{ad-bc}) \\ {-c}(\frac{1}{ad-bc}) &a(\frac{1}{ad-bc}) \end{array}\right]

I hope this helped!
8 0
3 years ago
A painter makes one batch of green paint that is 80 ounces total. 75% of the batch is yellow paint and 25% is blue paint. When t
kicyunya [14]

Answer:

60%

Step-by-step explanation:

There is 56 total ounces of green paint.

42oz is = 3/4

14oz is = 1/4

If she doubles the amount of yellow paint it would be 28oz instead of 14.

42+28= 70

There is now 70oz of paint total which becomes the new denominator.

The numerator is 42oz because that is how much blue paint there is.

42/70=.6 or 60%

Hope this helps!

7 0
3 years ago
If 8y - 8=24 find the value of 2y ​
Mariulka [41]

Answer:

2y =8

Step-by-step explanation:

8y - 8 = 24

First let's find the value of y

Collect like terms and simplify ;

8y = 24 + 8 \\ 8y = 32

Divide both sides of the equation by 8

\frac{8y}{8}  =  \frac{32}{8}

Simplify

y = 4

Substitute 4 for y into 2y

2y \\  = 2(4) \\  = 4 \times 2 = 8

4 0
4 years ago
$50 is 25% of what amount
balandron [24]

Answer:

$200

Step-by-step explanation:

You divide to find the answer

50 divided by 0.25

and you will get 200.

So $50 is 25% of 200

For a double check do 50/200

50/200 = 25/100

25/100 = 1/4

1/4 = 0.25

0.25 = 25%

So the final answer is 200.

Hope it helped! My answer is expert verified.

8 0
3 years ago
Read 2 more answers
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