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qwelly [4]
3 years ago
13

On a map, the distance from Akron to Cleveland measures 2 centimeters. What is the actual distance if the scale of the map shows

that 1 centimeter is equal to 19 miles? 1. Solve and write a proportion to find the actual distance from Akron to Cleveland. Label your final answer with the proper units. Show all work. You must have the correct answer to get full credit. Please use proper grammar, spelling, and punctuation.

Mathematics
1 answer:
WINSTONCH [101]3 years ago
4 0
To answer this question you will set up the proportion shown in the attached picture.

There are 2 ways to solve this.

1. You can create an equivalent ratio by determining the factor that will take you from 1 cm to 2 cm and apply his factor to the 19 miles.

The answer would be 19 x 2= 38 miles for 2 centimeters.

2. The second strategy is to use cross products to get an answer. You multiply the number diagonal from each other. See picture for this work.

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Step 1. Simplify \frac{1}{5} (x+5) to \frac{x+5}{5}

\frac{x+5}{5} = \frac{1}{4} (x-3)+1

Step 2. Simplify \frac{x+5}{5} to 1+ \frac{x}{5}

1+ \frac{x}{5} = \frac{1}{4} (x-3)+1

Step 3. Simplify \frac{1}{4} (x-3) to \frac{x-3}{4}

1+ \frac{x}{5} = \frac{x-3}{4} +1

Step 4. Cancel 1 on both sides

\frac{x}{5} = \frac{x-3}{4}

Step 5. Multiply both sides by 20 (the LCM of 5,4)

4x=5(x-3)

Step 6. Expand

4x=5x-15

Step 7. Subtract 5x from both sides

4x-5x=-15

Step 8. Simplify 4x-5x to -x

-x=-15

Step 9. Multiply both sides by -1

x=15

Done! :) Hope this helps! :)








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PLEASE HELP MEE!!!!!!!!!!!!!!!!!!!
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