Answer:
9+29x
Step-by-step explanation:
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Answer:
d = 18, c = 56.55
Step-by-step explanation:
Solution
d=2r=2·9=18
C=2πr=2·π·9≈56.54867
3x + 1 = y
2x + 3y = 14
To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.
2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14
3 + 1 = y
2 + 3y = 14
4 = y
3y = 2
4 = y
4 = y
The solution to this system of equations is (1, 4).
Answer:
18,471.6 cubic inches of wax will be needed
Step-by-step explanation:
We want the volume that will be required for 210 candles. We first find the volume of 1 candle by using volume of cylinder formula. Then multiply that answer by 210 to find volume of wax needed to make 210 such candles.
Volume of Cylinder is given by the formula:
Where
r is the radius
h is the height
Given,
r = 2 in
h = 7 in
We substitute and find 1 candle volume:
Volume of 1 candle = 
Hence,
Volume of 210 candles = 87.96 * 210 = 18,471.6 cubic inches
Step-by-step explanation:
