Answer:
0.3056 or 30.56%
Step-by-step explanation:
The volume of the grapefruit with the peel is:

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:
30.56% of volume of the grapefruit is the peel.
Answer:
The equation will be:
Step-by-step explanation:
Given that at one station, gas costs $2.75 per gallon.
Let 'g' be the number of gallons of gas purchases
Let 'C' be the total cost
Thus, the expression for total cost can be generated by multiplying the price per gallon by the number of gallons.
Thus,
C = 2.75g
Therefore, the equation will be:
F(x)=3x/2 for 0≤x≤2
<span>.....=6 - 3x/2 for 2<x≤4 </span>
<span>g(x) = -x/4 + 1 for 0≤x≤4 and g'(x)=-1/4 </span>
<span>so h(x)= f(g(x)) = (3/2)(-¼x+1)=-3x/8 + 3/2 for 0≤x≤2 </span>
<span>for x=1, h'(x)=-3/8 so h'(1)=-3/8 </span>
<span>When x=2, g(2)=1/2 so h'(2)=g'(2)f '(1/2)= -(1/4)(3/2)=-3/8 </span>
<span>When x=3, h(x)=6 - (3/2)(1 - x/4) = 9/2 +3x/8 </span>
<span>h'(x)=3/8 so h'(3) = 3/8</span>
Answer:
18
Step-by-step explanation:
There are 2+3 = 5 ratio units representing 45 band members, so each ratio unit represents 45/5 = 9 band members.
The 2 ratio units of sixth graders represent 2×9 = 18 sixth grade band members.