202k views
3 votes
From the set {21, 29, 49}, use substitution to determine which value of x makes the equation true. 8(x - 20) = 304 A. 49 B. none of these C. 29 D. 21

User PushNpop
by
8.4k points

2 Answers

4 votes

Final answer:

To determine which value of x makes the equation true, substitute the given values into the equation. The value of x that makes the equation true is 29.

Step-by-step explanation:

To determine which value of x makes the equation 8(x - 20) = 304 true, we can use substitution with the given set of numbers. Substituting the first number, 21, for x, we get 8(21 - 20) = 304, which simplifies to 8(1) = 304. This is not true. By substituting the second number, 29, for x, we get 8(29 - 20) = 304, which simplifies to 8(9) = 304. This is true. Therefore, the value of x that makes the equation true is 29. The answer is option C.

User Ashokadhikari
by
8.4k points
1 vote

Answer:

We can solve this equation by using substitution. We substitute each value of x in the given set and check which one makes the equation true.

Let’s start with A. 8(x - 20) = 304 becomes 8(49 - 20) = 304 which simplifies to 8(29) = 304 which is not true.

Let’s try B. 8(x - 20) = 304 becomes 8(none of these - 20) = 304 which simplifies to 8(-20) = 304 which is not true.

Let’s try C. 8(x - 20) = 304 becomes 8(29 - 20) = 304 which simplifies to 8(9) = 304 which is not true.

Finally, let’s try D. 8(x - 20) = 304 becomes 8(21 - 20) = 304 which simplifies to 8(1) = 304 which is not true.

Therefore, none of these values of x make the equation true

Step-by-step explanation:

User Mark Tomlin
by
7.9k points