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harina [27]
3 years ago
7

A drawing of a basement uses the same scale as the example. the basement is 28ft wide and 35 ft long. how wide and long is the d

rawing? show your work
Mathematics
1 answer:
Olenka [21]3 years ago
3 0

This question is incomplete

Complete Question

A drawing of a basement uses the same scale as the example above which is 1 inch to 10 ft. The basement is 28ft wide and 35 ft long. how wide and long is the drawing? show your work

Answer:

2.8 inches wide and 3.5 inches long.

Step-by-step explanation:

Scale drawing

1 inch = 10 feet

= 1 inch/10 feet

For the Width of the basement

The basement = 28ft wide

= 1inch/ 10 feet = x inch/28ft

= Cross Multiply =

10 feet × x inch = 28feet × 1 inch

x inch = 28 feet × 1 inch/10 feet

x = 2.8 inches

The drawing = 2.8 inches wide

The length of the basement = ft long

1inch/ 10 feet = x inch/35ft

= Cross Multiply =

10 feet × x inch = 35feet × 1 inch

x inch = 35 feet × 1 inch/10 feet

x = 3.5inches

Therefore, the drawing is 2.8 inches wide and 3.5 inches long

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The answer to your question is

Part A. Archimedes grades 6 1/4 tests per day

Part B. 8 19/32 days

Part C.  6  26/29 days

Step-by-step explanation:

Part A

Total time = 6 2/5 days

Number of tests = 40 tests

Process

1.- Convert the mixed fraction to improper fraction

                 6 2/5 = (30 + 2) / 5 = 32/5

2.- Divide 40 by 32/5

                40/1  / 32/5   = (40 x 5) / (32 x 1)

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3.- Convert 25/4 to mixed fractions

                                       6      

                                4   25            

                                        1

                   25/4 = 6 1/4

Archimedes grade 6 1/4 tests per day

Part B

15 more tests

Total time = 32/5

Total tests = 40 + 15 = 55

Process

1.- Divide 55 by 32/5

                                  55 / 1  /  32 /5    = (55 x 5) / (32 x 1)

                                                             = 275 / 32

                                                             

2.- Convert 275/32 to a mixed fraction

                                                 8                                  

                                      32   275

                                             256

                                                19

Result    8 19/32 days

Part C

1.- Divide 55 by 7.25

                                         50 / 7.25     =    5000 / 725

                                                  6

                                725    5000

                                        - 4350

                                            650    

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