Answer:
10 quarters, 23 dimes
Step-by-step explanation:
Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:
- d + q = 33
- 0.10d + 0.25q = 4.80
Solve for d in the first equation. Subtract q from both sides.
d = 33 - q
Substitute d into the second equation.
0.10(33 - q) + 0.25q = 4.80
Distribute 0.10 inside the parentheses.
3.3 - 0.10q + 0.25q = 4.80
Combine like terms.
3.3 + 0.15q = 4.80
Subtract 3.3 from both sides.
0.15q = 1.5
Divide both sides by 0.15.
q = 10
Substitute this value of q into where we solved for d (d = 33 - q).
d = 33 - (10)
d = 23
$12 x .20 = $2.40
12 - 2.40 = $9.60
$9.60 x .07 = $0.67
$9.60 + $0.67 = $10.27
Total price (including tax): $10.27
Answer:
Step-by-step explanation:
(3, 0) (0, 2)
(2-0)/(0-3) = 2/-3= -2/3
y - 0 = -2/3(x - 3)
y = -2/3x + 2
Answer:
56
Step-by-step explanation: