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➷ First identify and assign the variables:
q = number of quarters
d = number of dimes
This is what we know:
q + d = 22
A quarter is 25 cents and a dime is 10 cents
You can write this as:
0.25q + 0.1d = 3.40
Rearrange the first equation for d
d = 22 - q
Substitute this value into the other equation:
0.25q + 0.1(22 - q) = 3.40
Simplify:
0.25q + 2.2 - 0.1q = 3.40
0.15q + 2.2 = 3.4
Subtract 2.2 from both sides:
0.15q = 1.2
Divide both sides by 0.15:
q = 8
Substitute into the first equation:
8 + d = 22
d = 14
Therefore, there are 8 quarters and 14 dimes.
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Answer:
1310.8 feet^3 to nearest tenth.
Step-by-step explanation:
To find the volume we need to find the depth.
The length of the diagonal helps us to do this. We apply the Pythagoras theorem to the triangle formed by the length, the diagonal and the depth (d):
17.8^2 = d^2 + 16.6^2
d^2 = 17.8^2 - 16.6^2
d^2 = 41.28
So the depth d = 6.42 feet.
Thus, the volume = 16.6 * 12.3 * 6.42
= 1310.8 feet^3.
Answer:
B
Step-by-step explanation:
if y = -3 then 4+(-3)/4(-3) would be 4-3 = -1 over -12 so -1/-12 or 1/12 -->B
