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
Answer:
300pi
Step-by-step explanation:
the formula for volume of a cylinder is pi3^2h
So pi * (25) * 12
300 pi.
If you forget the formula, remember circle area is pir^2 and multiplying that by the height will raise the circle's area, giving us volume.
Answer:
12x² + 17x - 5
Step-by-step explanation:
Given
(3x + 5)(4x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(4x - 1) + 5(4x - 1) ← distribute parenthesis
= 12x² - 3x + 20x - 5 ← collect like terms
= 12x² + 17x - 5
880689 is the exact answer
