Answer:
d
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition y =
when x =
, then
= k(
)² =
k ( multiply both sides by 8 )
1 = 2k ( divide both sides by 2 )
k = 
y =
x² ← equation of proportion
When y =
, then
=
x² ( multiply both sides by 2 )
9 = x² ( take the square root of both sides )
x = ±
= ± 3
with positive value x = 3 → d
Answer:
The answer is C.This country has both a democracy and a theocracy
Answer:
100%
Step-by-step explanation:
Start with x.
x = x/1
Increase the numerator by 60% to 1.6x.
Decrease the numerator by 20% to 0.8.
The new fraction is
1.6x/0.8
Do the division.
1.6x/0.8 = 2x
The fraction increased from x to 2x. It became double of what it was. From x to 2x, the increase is x. Since x was the original number x is 100%.
The increase is 100%.
Answer:
Option D.
Step-by-step explanation:
Borrowed $50 from your cousin. You pay him $8 and must pay him back within 12 weeks.
Let x be the amount paid on each week.


You can buy bags of pretzels in packages of 12. You $50 to spend, but want to have at least $8 left.
Let x be the amount of each package.

You owe your sister $50. You plan to pay her $12 a week till you owe her less than $8.
Let x be the amount paid on each week.

You have $50 to spend on clothes, but you need to save at least $8 for bus fare. You plan to spend the rest on shirts that cost $12 each (including tax).
Let x be the number of shirts

Therefore, the correct option is D.