As y varies directly with x, there is a proportionality constant. As x increases by that certain constant, y also increases. We equate:
y = kx
where k = proportionality constant.
Given the condition, y = 5 when x = 4, then we solve for k:
5 = k(4)
k = 5/4 or 1.25
When y = 8, then
8 = (5/4)(x)
x = 8/(5/4) = (8)(4/5) = 32/5 or 6.4 (ANSWER)
Answer:


Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

On the right, combine like terms:

Add:

Subtract 12 from both sides. The right cancels:

Divide both sides by 12:

So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:

Substitute 8 for y:

Multiply:

Add:

Do the same for ST:

Substitute 8 for y:

Multiply:

Add:

Answer:
120
Step-by-step explanation:
I am taking the test rn
N = 13/20 or 0.65
25.5n - 3 = 5.5n + 10
Add 3 to both sides of the equation.
25.5n = 5.5n + 13
Subtract 5.5n from both sides.
20n = 13
Divide both sides by 20.
n = 13/20 or 0.65
Answer:
2.6666
Step-by-step explanation:
hypotenuse is c^2 so you square 4 to get 16 and then you divide it by 6 to 2.666 so that is the answer for the other leg