Byron has 72 coins in his piggy bank. The piggy bank contains only dimes
2 answers:
Answer:
(3)
Step-by-step explanation:
Let d represent number of dimes and q represent number of quarters.
We have been given that Byron has 72 coins in his piggy bank. We can represent this information in an equation as:
We are also told that the value of all coins is $14.70.
Value of d dimes: .
Value of q quarters: .
From equation (1), we will get:
Substitute this value in equation (2):
Therefore, the equation can be used to determine q, the number of quarters.
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Answer: FIRST OPTION.
Step-by-step explanation:
For this exercise it is important to remember a property called "Quotient of Powers property".
By definition the Quotient of Powers property states the following:
You can observe the division of and
. Since both have the same base "a" , you must rewrite the base and subtract the exponents "m" and "n".
In this case, you have the following expression given in the exercise:
Then, you need to apply the Quotient of Powers property rewriting the base 4 and subtracting the exponents 12 and 5.
Therefore, you get the following result:
You can notice that it matches with the first option.