Solved on Sep 24, 2023

Find the number where two-sevenths of it is -10.

STEP 1

Assumptions1. The number we are looking for is represented by the variable x. . Two-sevenths of this number is equal to -10.

STEP 2

We can write the given information as an equation.
27x=10\frac{2}{7}x = -10

STEP 3

To find the value of x, we need to isolate x. We can do this by multiplying both sides of the equation by the reciprocal of 27\frac{2}{7}, which is 72\frac{7}{2}.
x=10×72x = -10 \times \frac{7}{2}

STEP 4

Calculate the value of x.
x=10×72=35x = -10 \times \frac{7}{2} = -35The number is -35.

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