Answer:
k = 80
Step-by-step explanation:
[tex] - 64 = - 0.8k[/tex]
We can convert the decimal from - 0.8 into - 8/10.
[tex] - 0.8 = - \frac{8}{10} [/tex]
Rewrite the equation.
[tex] - 64 = - \frac{8}{10} k[/tex]
Move 10 to multiply - 64
[tex] - 64 \times 10 = - 8k \\ - 640 = - 8k[/tex]
Then we move - 8 to divide - 640.
[tex] \frac{ - 640}{ - 8} = k \\ 80 = k[/tex]
Dividing both negative equal positive. Therefore, the value of k is 80.
Answer Check
Substitute k = 80 in the equation.
[tex] - 64 = - 0.8 \times 80 \\ - 64 = - \frac{8}{10} \times 80 \\ - 64 = - 8 \times 8 \\ - 64 = - 64[/tex]
The equation is true. Therefore, 80 is the right answer.
