Answer:
3r^3/y^7.
Step-by-step explanation:
9y^-5 / 3y^2r^-3
9 / 3 = 3
y ^-5 / y^2 = y^-7 = 1 / 7y
1 / r^-3 = r^3
So the answer is 3r^3/y^7.
Answer:
There are 40 problems on the test
Step-by-step explanation:
Let p = the number of problems on the test
The number of problems on the test times the percent correct is the number correct
p * 85% = 34
p * .85 = 34
Divide each side by .85
p * .85/.85 = 34/.85
p = 40
There are 40 problems on the test
Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
The fraction 53/100 is already in the simplest form.
This is a proper fraction once the absolute value of the top number or numerator 53 is smaller than the absolute value of the bottom number or denominator 100.
53/100 is equal to 53÷100
decimal form as: 0.53.