Math

Question1. Write the equation: 24x=142x\frac{24}{x} = 14 - 2x.
2. Write the equation: 859y=7(4+y)85 - 9y = 7(4 + y).
3. Write an equation for Lily's walk: 2+3h=62 + 3h = 6.

Studdy Solution

STEP 1

AssumptionsProblem31. The quotient of24 and xx equals14 minus times xx.
Problem41. Nine times a number yy subtracted from85 is seven times the sum of four and yy.
Problem51. Lily has already walked miles. . Her goal is to walk6 miles.
3. She plans to walk at a rate of3 miles per hour for the rest of her walk.

STEP 2

ProblemTranslate the sentence into an equation. The quotient of24 and xx can be written as 24x\frac{24}{x} and14 minus2 times xx can be written as 142x14 -2x.
24x=142x\frac{24}{x} =14 -2x

STEP 3

ProblemTranslate the sentence into an equation. Nine times a number yy subtracted from85 can be written as 859y85 -9y and seven times the sum of four and yy can be written as 7(+y)7( + y).
859y=7(+y)85 -9y =7( + y)

STEP 4

ProblemTranslate the sentence into an equation. Lily has already walked2 miles and her goal is to walk6 miles. The remaining distance she needs to walk is 62=46 -2 =4 miles. She plans to walk at a rate of3 miles per hour, so the time it will take her to walk the remaining distance is 43\frac{4}{3} hours.
h=43h = \frac{4}{3}The equations for the sentences areProblem3 24x=142x\frac{24}{x} =14 -2x Problem4 859y=7(4+y)85 -9y =7(4 + y)Problem h=43h = \frac{4}{3}

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