8. A jar holds twenty-seven coins which are either nickels or dimes. The coins are worth $1.95. How many dimes are in the jar?
1 answer:
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Assuming you know the quadratic formula:
You can fill in a, b and c in this and get:
Now, let's create a shorthand to make the writing easier:
But since one root is three times the other root (but we don't know which one), we also know that:
or
If you solve this, you get:
or
However, since q is a square root, it must be postive.
So we know that:
From this you find that
So p = 3/2
The roots are x=1/2 and x=3/2.
Answer: The correct option is (C) 36 cm².
Step-by-step explanation: We are given to find the volume of a rectangular prism with base area 36 cm² and height
We know that the volume of a rectangular prism with base area b sq. units and height h units is given by
Here,
base area, b = 36 cm²
and
height is
Therefore, the VOLUME of the given prism will be
Thus, the volume of the given rectangular prism is 36 cm².
Option (D) is CORRECT.