Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of
2 answers:
Keywords:
<em>Coins, nickels, quarters, equation, variables </em>
For this case, we have 36 coins that represent 6 dollars. In addition, said coins are nickels and quarters. We must find an equation that can be used to find the number of nickels Alexandra has, of the 36 coins. For this, we must define two variables:
- n: Represents the number of nickels Alexandra has
- q: Represents the number of quarters Alexandra has
We know that:
Thus, we have the following system of equations:
We clear "q" from the equation (2):
We substitute "q" in equation (1):
Thus, the equation that can be used to find the number of nickels Alexandra has is:
Answer:
The equation that can be used to find the number of nickels Alexandra has is:
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Answer:
Yes
Step-by-step explanation:
the function that gives the alcohol level is:
where x is the number of hours.
we need to know if after 4 hours an average person is legally drunk, thus:
and we substitute this in the function:
solving these operations we obtain:
the alcohol level after 4 hours is 3.24.
Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.