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Chapter 2: Q14. (page 110)

Write an equation and solve each problem.

Three less than three fourths of a number is negative 9. Find the number.

Short Answer

Expert verified

34x鈭�3=鈭�9

and

x=鈭�8

Step by step solution

01

Step 1. Given Statement.

Three less than three fourths of a number is negative 9.

02

Step 2. Description of step.

In order to solve the given problem, first convert the statement into an equation.

For this, let the unknown number in the equation be x

Then, three fourths of that number is34x, andthree less than three fourths of a number is negative 9 is represented by the equation:

34x鈭�3=鈭�9

Now find the value of unknown by solving above equation, as:

34x鈭�3=鈭�934x=鈭�9+334x=鈭�634x脳43=鈭�6脳43x脳34脳43=鈭�2脳4x脳1=鈭�8x=鈭�8

Thus, the unknown number is x=鈭�8.

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Most popular questions from this chapter

Translate each sentence into an equation.

Half of thej minus 5 is the sum of k and 13.

A hang glider 25 meters above the ground starts to descend at a constant rate of 2 meters per second. Which equation shows the height h after t seconds of descent?

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25x+6=23x+10

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2a鈭�6=4
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