Answer:
There are 32 dimes and 25 quarters.
Step-by-step explanation:
q + d = 57 or q = 57 - d
25q + 10d = 945
substitute first equation into second equation:
25(57 - d) + 10d = 945
1425 - 25d + 10d = 945
-15d = -480
d = -480/-15 = 32
using first equation:
q = 57 - 32 = 25
check using second equation:
25(25) + 10(32) = 945 checks
Answer: <span>2,856 ft³ .</span>
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Volume of a rectangle prism = BASE AREA * height ;
The "base area" is the area of the rectangle:
(Area = length width; or, "L * w").
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So, volume of a rectangular prism = L * w * h ; h = height ;
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V = L * w * h = 12 ft * 17 ft. * 14 ft = 2,856 ft³
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Answer:
Equal.
Step-by-step explanation:
The volume of the rectangular prism is:
V = length x width x height
V = 3a x 2b x c
V = 6abc
The volume of the pyramid is:
V = (base area x height)/3
V = (a x b x 18c)/3
V = 18abc/3
V = 6abc
The two volumes are equal.
-4 is the answer. 10-6 is 4. 4-8 is -4