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Answer:
D
Step-by-step explanation:
((p^4*q)/p^8)^2.
p^4/p^8=p^(4-8)=p^-4=1/p^4
(q/p^4)^2=(q^2/p^8)
Answer:
x = 48
y = 21
Step-by-step explanation:
To find the value of x and y, using the definition of supplementary angles, create an equation to find x and y as follows:
Finding y:-
(supplementary angles definition)
Solve for y
Collect like terms
Finding x:-
(supplementary angles definition)
Solve for x
Combine like terms

16t -2(2t+5) =14
distribute the parenthesis first:
16t-4t-10 = 14
combine like terms:
12t - 10 = 14
add 10 to both sides:
12t = 24
divide both sides by 12
t = 24/12
t = 2
Answer:
About 95 miles
Step-by-step explanation:
Let's set up a proportion using the following set up:
miles / gallons = miles / gallons
We know the car can travel 38 miles on 2.4 gallons of gas.
38 miles / 2.4 gallons = miles/ gallons
We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.
38 miles / 2.4 gallons = x miles /6 gallons
38/2.4=x/6
We want to find x (miles for 6 gallons). Therefore, we must isolate x.
x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.
6*(38/2.4)=(x/6)*6
6*(38/2.4)=x
6*15.8333333=x
94.9999998=x
Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.
95 ≈x
x ≈95 miles
The car can travel about 95 miles on 6 gallons of gas.