Which of the following is a list of equivalent numbers? a. 1.25,114,12.5% b. 0.125,14,12.5% c. 12.5,1212,125% d. 1.25,114,125%

D

Step-by-step explanation:

We have to find the list of equivalent numbers

A.1.25,,12.5%

12.5%=

Given numbers are not equivalent

Hence, option A is false.

B.0.125,,12.5%

12.5%=

Given numbers are not equivalent.

Hence, option B is false.

C.12.5,,125%

125%=

Given numbers are not equivalent.

Hence, option C is false.

D.1.25,,125%

125%=

Given numbers are equal.

Hence, option D is true.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions