Answer:
4
Step-by-step explanation:
This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- h+q=31 is an equation representing the total number of coins
- 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.
0.50(31-q)+0.25q=11
15.5-0.50q+0.25q=11
15.5-0.25q=11
After simplifying, we subtract 15.5 across and divide by the coefficient of q.
-0.25q=-4.5
q=4
We now know of the 31 coins that 4 are quarters.
Answer:
(0.5,0)
Step-by-step explanation:
Input the equation into a graphing calculator
Definitely, its volume is greater than the original cylinder. Hope it help!
Answer:
10
Step-by-step explanation:
Given the expression:
(5 * x³) / x² ; for x = 2
Simplifying (5 * x³) / x²
5 * x^(3-2)
5 * x^1
= 5x
For x = 2
5x = 5*2 = 10
