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JulsSmile [24]
3 years ago
9

Christine runs 7 miles in 60 minutes. at the same rate, how many miles would she run in 24 minutes?

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0
Let x = the unknown amount of miles she would run. We are going to set up a proportion.

\frac{7 miles}{60 min}  =  \frac{x miles}{24 min}

Now we are going to cross-multiply and solve for x. 

60x = 7(24)
60x = 168
x = 168 / 60
x = 2.8

Christine runs 2.8 miles in 24 minutes. 
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Step by step instructions
alisha [4.7K]

Since there is a multiplier of 7 on the left, and both terms on the right are divisible by 7, I'd start by dividing the equation by 7

|8 - 3x| = 3x - 7

The absolute value function may or may not negate its argument. (The argument is negated if it is negative.) Hence this can resolve to two equations

-(8 -3x) = 3x -7

or

(8 -3x) = 3x -7

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Starting with the first of these, we can eliminate parentheses to get

... -8 +3x = 3x -7

Subtracting 3x from both sides gives the FALSE statement

... -8 = -7 . . . . FALSE

Thus, this version of the equation has No Solution.

Looking at the second of the equations above, we can add 3x to get

... 8 = 6x -7

Adding 7 and dividing by 6 gives

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The solution is x = 5/2.

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