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Chapter 2: Q72. (page 109)

Write and solve the equation for the sentence 鈥淪even times a number equals 鈭�84.鈥� What is the number?

Short Answer

Expert verified

The equation for the given problem is 7x=鈭�84.

The value of the number is 鈭�12.

Step by step solution

01

Step-1 Apply the concept of Variables and constant.

Variables: - In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

Constants: - In any expression or equation, the constants are the values that are fixed.

While performing addition in an equation, the same kind of elements or like terms are added together.

02

Step-2. Concept of equation.

Equations: - Equations are the statements in which two expressions are equal. The expression can be created by variables, constants, numbers and symbols.

03

Step-3. Solution of the given problem.

The given problem is:

Seven times a number equals 鈭�84.

Let the number be x.

The given problem can be written in the form of an equation as:

7x=鈭�84

Multiply 17to both sides of the equation.

17脳7x=鈭�84脳17x=鈭�12

Therefore, the number is 鈭�12.

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Most popular questions from this chapter

Translate each equation into a sentence.

15=25u2+2

In 1998, Winchell's House of Donuts in Pasadena, California, made the world's largest donut. It weighed 5000 pounds and had a circumference of 298.3 feet. What was the donut's diameter to the nearest tenth?

Hint: C=蟺d

Translate each sentence into an equation.

Three-fourths of w plus 5 are one-half of w increased by nine.

Translate each sentence into an equation.

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

Translate the following statement in if-then form:

鈥�4q+6>42 when q>9.
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