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Chapter 2: Q. 2.43 (page 225)

Translate and solve: The quotient of q and 鈭�8 is 72.

Short Answer

Expert verified

On solving, we getq鈭�8=72;q=鈭�576.

Step by step solution

01

Step 1. Given information

Given:

The quotient of qand 鈭�8 is 72.

We will translate sentences into equations and then solve the equations.

02

Step 2. Translate the sentence into equation

Thequotientofqand鈭�8铃�鈬�is铃�鈬�72铃�鈬�q鈭�8=72

03

Step 3. Simplify

Now,鈬�q鈭�8=72鈬�q鈭�8脳鈭�8=72脳鈭�8Multiplybothsidesby-8鈬�q=鈭�448Hence,Theequationwillbeq鈭�8=72andonsolving,wegetq=鈭�576.

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Most popular questions from this chapter

In the following exercises, solve each equation using the Division and Multiplication Properties of Equality and check the solution.

鈭�19m=鈭�586

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
y+45=鈭�66

In the following exercise, determine whether the given value is a solution to the equation.

Isy=53asolutionof6y+10=12y?

In the following exercise, solve each equation using the Subtraction and Addition Properties of Equality.
a+25=45

Translate and solve: Three-fourths of fis 21.
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