Answer:
Number of dimes = 16
Number of quarters = 17
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Work Shown:
d = number of dimes
q = number of quarters
d+q = 33 coins total, this solves to d = 33-q
10d = value of all the dimes in cents
25q = value of all the quarters in cents
10d+25q = 585 cents total
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Plug in d = 33-q and solve for q
10d+25q = 585
10(33-q) + 25q = 585
330-10q+25q = 585
15q+330 = 585
15q = 585-330
15q = 255
q = 255/15
q = 17
The man has 17 quarters
d = 33-q = 33-17 = 16
He also has 16 dimes.
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Check:
16 dimes + 17 quarters = 33 coins total
16 dimes = 16*10 = 160 cents
17 quarters = 17*25 = 425 cents
160 cents + 425 cents = 585 cents
The answer is confirmed.
Answer:
Step-by-step explanation:
∠A + ∠B = 90 {∠A & ∠B are complementary}
x + 16 + x - 12 = 90
x + x + 16 - 12 = 90 {Combine like terms}
2x + 4 = 90 { Subtract 4 form both sides}
2x = 90 - 4
2x = 86 {divide both sides by 2
x = 86/2
x = 43
Answer:???
Step-by-step explanation:
In this set of equations, x is -3 and y is 4.
