SkylarAaliyah
06.02.2021 •
Mathematics
Julie collects dimes and quarters. She has a total of 98 dimes and quarters in a jar. She counted the money and found out she has $14.90 in the jar. How many dimes and quarters does she have?
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Ответ:
64 dimes and 34 quarters.
Step-by-step explanation:
Let d represent the amount of dimes and q represent the amount of quarter Julie has.
She has in total 98 coins. Therefore:
Each dime is worth 0.10 and each quarter is worth 0.25. Together, they are worth in total $14.90. Therefore:
We have a system of equations. We can solve this using substitution.
First, we can multiply the second equation by 100 to simplify. So:
From the first equation, we can subtract q from both sides:
Substitute this into the second equation:
Distribute:
Combine like term:
Subtract:
Therefore:
So, Julie has 34 quarters.
Returning to our first equation:
Substitute:
Therefore:
Thus, Julie has 64 dimes and 34 quarters.
Ответ:
number of years, g(x) , for the number of infected trees to reach a value of x.
Part E
Compare the features of the graphs of functions f and g. Then use your observations to describe the relationship between