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In Mathematics / College | 2025-07-07

Select the best answer for the question.

18. Find the value of [tex]$Z$[/tex] in the following equation: [tex]$8 Z =64$[/tex].
A. 512
B. 56
C. 8
D. 72

Asked by swannswife

Answer (1)

Divide both sides of the equation 8 Z = 64 by 8.
Simplify the equation to isolate Z .
Calculate the value of Z as 8 64 ​ .
The value of Z is 8 ​ .

Explanation

Understanding the Problem We are given the equation 8 Z = 64 and asked to find the value of Z . This is a simple algebraic equation where Z is the unknown variable we need to isolate.

Isolating Z To find the value of Z , we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 8: 8 8 Z ​ = 8 64 ​

Calculating Z Now, we perform the division: Z = 8 64 ​ = 8

Final Answer Therefore, the value of Z is 8. Looking at the multiple-choice options, we see that option C is the correct answer.


Examples
Imagine you're buying concert tickets for your friends. Each ticket costs $8, and the total bill is $64. To find out how many tickets you bought, you can use the equation 8 Z = 64 , where Z is the number of tickets. Solving this equation tells you exactly how many friends you can bring along. This simple algebraic problem helps in everyday situations where you need to determine a quantity based on a total cost and individual price.

Answered by GinnyAnswer | 2025-07-07

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