Question

Solve for x: −2(x + 3) = −2(x + 1) − 4

2

3

All real numbers

No solution



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Question 2 (Multiple Choice Worth 1 points)

A social networking site recorded that 80% of the people who became members of the site one month were between 30 and 40 years old. The equation below represents this information, where x represents the total number of people who became members of the site that month.

x = 0.8x + 72

How many people who became members of the site that month were between 30 aand 40 years of age?

112

288

360

432

Answer 1

Explanation:

x=360

Answer 2

So here are the solutions to your given questions above:
For question 1:
Based on the given values, let us try to expand it.
And the result would be -2x-6 = -2x-6.
This makes the solution would be all real numbers. When we say the solution is all real numbers, isolate the x term by subtracting x from both sides and you end up getting "2=2", which makes it a true statement, and therefore, the solution of the equation is all real numbers.
For question 2:
Since the equation is already given and x represents the number of people who joined the site that month, let us solve for x.
x = 0.8x + 72
x - 0.8x = 72
0.2x = 72
x = 72/0.2 = 360
The number of people who became a member of that month is 360 in total.
Since 80% of it are ages 30 to 40 years old, we are going to find 80% of 360 and that would be 288. So the answer is the second option.