Answer: 267.947 (or 267.95) inches^3
Step-by-step explanation:
The formula for the volume of a sphere is 
.
To find your radius (r), divide the diameter of 8 inches by 2. <em>The radius is 4 inches.</em>
Plug in your numbers to the volume equation to get 
. The first step is to cube 4 (4*4*4) to get <em>64</em>. Now your equation is 
.
Multiply 3.14 and 64 to get <em>200.96</em>. The equation is now 
or 
.
Multiply the numerators (4 * 200.96) and denominators (1 * 3) to get a final equation of 
.
Finally, divide 803.84 by 3 to get the final answer of 267.947 in^3.
The best choice would be neither
A. 10% because 6 is ten percent of 60 which is the number of trials.
Answer:
<u>The price of oranges is US$ 2 per pound and the price of bananas is US$ 1 per pound.</u>
Step-by-step explanation:
1. Bananas and oranges bought by Nancy:
Oranges = 7 pounds
Bananas = 3 pounds
Cost = US$ 17
2. Bananas and oranges bought by Nancy's husband:
Oranges = 3 pounds or 3x
Bananas = 6 pounds or 6y
Cost = US$ 12
3x + 6y = 12 (Dividing by 3 at both sides of the equation)
x + 2y = 4
x = 4 - 2y
3. Total Purchases:
Oranges = 10 pounds or 10x
Bananas = 9 pounds or 9y
Cost = US$ 29
10x + 9y = 29
10 (4 - 2y) + 9y = 29 (Replacing x with 4 - 2y from 2nd purchase)
40 - 20y +9y = 29
-11y = 29 - 40
- 11y = - 11
y = 1 (Dividing by -11 at both sides)
<u>Pound of bananas = US$ 1</u>
10x + 9 (1) = 29 (Replacing y by 1 in the original formula)
10x + 9 = 29
10x = 20
x = 2 (Dividing by 10 at both sides)
<u>Pound of oranges = US$ 2</u>
