Please help me solve this ASAP!

a = 3.2

Step-by-step explanation:

*not sure if 2*1/7=2/7 or 2 (1/7) = 14/2 + 1/7 = 15/7. I will assume it is the former though.

2 (1/7) : (1.5a) = 15/7 : 1.5a

need to make the left side of the ration of both sides of the ratio the same.

left:     15/7 : (1.5a)

right:   5/14 : 0.8

First, make the denominator of the left side the same as the right:

left:     30/14 : (1.5a)

right:   5/14 : 0.8

Second, times the right ratio by 6, this will make it so that the left and right left ratio are the same:

left:     30/14 : (1.5a)

right:   6*(5/14) : 6*(0.8)

left:     30/14 : (1.5a)

right:   30/14 : 4.8

Now that the left ratio on the left and right are the same, we know that 1.5a will equal 4.8:

1.5a = 4.8

a = 4.8/1.5

a = 3.2

We can double-check by subbing in one a into the original equation and dividing the left ratio by the right:

left:     15/7 : (1.5*3.2)

right:   5/14 : 0.8

left:     15/7 : 24/

right:   5/14 : 0.8

left:     (15/7) / (15/32) = 25/56

right:   (5/14) / (0.8)    = 25/56

Since the left side is equal to the right side, the value of a we got is correct.

step-by-step explanation:

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