Answer:
There 138 quarters and 0 nickels.
The value of nickels is $0.
Step-by-step explanation:
A quarter is 0.25 of a dollar, and a nickel is 0.05 of a dollar. We are told that the total worth of nickels and dollars we have is 34.5, that is
where is the number of quarters, and is the number of nickels.
We are also told that total number of coins is 138, that is
so we have two equations:
To this system of equations we first solve for in second equation and substitute its value into the first equation:
the first equation becomes
So we have 138 quarters.
Now we put this value into equation(2) and solve for
So we have 0 nickles and therefore their value is $0.
Answer:
(8,-3)
Step-by-step explanation:
this is the point where the 2 lines intersect
Answer:
-216
Step-by-step explanation:
- * - * - = -
6*6*6= 216
<h3>
Answer: 33 cubic units</h3>
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Explanation:
Convert the mixed number 3 & 2/3 to an improper fraction
3 & 2/3 = 3 + 2/3
3 & 2/3 = 9/3 + 2/3
3 & 2/3 = (9+2)/3
3 & 2/3 = 11/3
The prism has a base area of 9 square units and a height of 11/3 units.
Multiply the base area by the height to get the volume
volume = (base area)*(height)
volume = (9)*(11/3)
volume = 99/3
volume = 33 cubic units
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You could choose to not convert to an improper fraction, and your steps may look like this
volume = (base area)*(height)
volume = (9)*(3 + 2/3)
volume = 9*3 + 9*(2/3) .... distribute
volume = 27 + 18/3
volume = 27 + 6
volume = 33 cubic units
Either way we get the same volume.
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