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lina2011 [118]
3 years ago
15

The scale on a map in 0.5 in.:10mi. If the map shows that the distance from Barkley to Winston is 4.5 in., what is the actual di

stance between those two towns?
Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:I think all you need to do is 0.5*4.5 and you will get your answer

Step-by-step explanation:hop it helps

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Please help me. 5(m-7)=-8(3m+8)
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Answer:

m = -1

Step-by-step explanation:

Solve for m:

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Hint: | Write the linear polynomial on the left hand side in standard form.

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5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

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Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

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Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

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