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:
It has one solution which is a=1
Answer:
A = 65, B = 75
Step-by-step explanation:
x + x + 10 + 40 = 180
2x + 50 = 180
2x= 130
x = 65
Answer:
Graph D
Step-by-step explanation:
it does not pass the linear test to qualify as a function
Answer:
x=5
Step-by-step explanation:
-12=8-4x
-20=-4x
5=x
