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s344n2d4d5 [400]
3 years ago
9

The dimensions of the swimming pool and the gym are proportional.

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0
<h3>The dimensions of the gym floor could be 150 feet by 120 feet</h3><h3>The dimensions of the gym floor could be 225 feet by 180 feet</h3>

<em><u>Solution:</u></em>

Given that,

The dimensions of the swimming pool and the gym are proportional

The pool is 75 feet long by 60 feet wide

To find: set of possible dimensions for the gym

To determine the possible dimensions for the gym, you would use the same number to multiply both 75 and 60

<em><u>One set of dimensions are:</u></em>

75 x 2 = 150

60 x 2 = 120

The dimensions of the gym floor could be 150 feet by 120 feet

<em><u>Other set of dimensions:</u></em>

75 x 3 = 225

60 x 3 = 180

The dimensions of the gym floor could be 225 feet by 180 feet

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Answer:

Step 1 of 2: Subtract.  

Subtract

(

negative 5 over 8  

−  

5

8

) − (

negative 4 over 3  

−  

4

3

) =  

17 over 24  

17

24

Step 1 of 2: Subtract, sub-step a: Subtract a negative.  

Subtract a negative

negative 5 over 8  

−  

5

8

− (

negative 4 over 3  

−  

4

3

) =  

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

Subtracting a negative is the same as adding a positive.

Step 1 of 2: Subtract, sub-step b: Find common denominator.  

Find common denominator

negative 5 over 8  

−  

5

8

+  

4 over 3  

4

3

= −

( 5 × 3 ) over ( 8 × 3 )  

5 × 3  

8 × 3  

+  

( 4 × 8 ) over ( 3 × 8 )  

4 × 8  

3 × 8  

=  

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

24 is the least common multiple of denominators 8 and 3. Use it to convert to equivalent fractions with this common denominator.

Step 1 of 2: Subtract, sub-step c: Add.  

Add

negative 15 over 24  

−  

15

24

+  

32 over 24  

32

24

=  

(  

negative 15  

−15 + 32 ) over 24  

negative 15  

−15 + 32  

24

=  

17 over 24  

17

24

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