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Basically, this is saying that 80% of (x) = 2 so you have know what the whole would be. It would be 2.5 because 80% of 2.5 is 2. So because you are subtracting 7 from v to get 2.5, you have to add 2.5 to 7 to get v. V=9.5

Answer:

The value of v is 9.5.

Step-by-step explanation:

Given : Equation [tex]\frac{4}{5}(v-7)=2[/tex]

To find : What is the value of v?

Solution :

Step 1 - Write the equation,

[tex]\frac{4}{5}(v-7)=2[/tex]

Step 2 - Multiply 5/4 both side,

[tex]\frac{4}{5}(v-7)\times \frac{5}{4}=2\times \frac{5}{4}[/tex]

[tex]v-7=\frac{5}{2}[/tex]

Step 3 - Add 7 both side,

[tex]v-7+7=\frac{5}{2}+7[/tex]

[tex]v=\frac{5+14}{2}[/tex]

[tex]v=\frac{19}{2}[/tex]

[tex]v=9.5[/tex]

Therefore, The value of v is 9.5.

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