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Mkey [24]
3 years ago
6

One state leads the country in tart cherry​ production, producing 80 out of every 100 tart cherries each year. a. What percent o

f tart cherries are produced in this​ state?
Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
So, to turn this into a percentage, we have to turn this into a decimal by dividing:
80/100 = 0.80
80% of tart cherries are produced in this state.
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The <em><u>correct answer</u></em> is:

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Explanation:

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Each bicycle has 2 tires and each skateboard has 4; this gives us the equation

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This makes our system

\left \{ {{x+y=21} \atop {2x+4y=54}} \right.

We will use elimination to solve this; we first need one of the variables to have the same coefficient in both equations.  We will make x the same, and we will do this by multiplying the first equation by 2:

\left \{ {{2(x+y=21)} \atop {2x+4y=54}} \right.  \\&#10;\\\left \{ {{2x+2y=42} \atop {2x+4y=54}} \right.

Now we will subtract the second equation from the first one:

\left \{ {{2x+2y=42} \atop {-(2x+4y=54)}} \right.  \\&#10;\\-2y=-12

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-2y/-2 = -12/-2

y = 6

There were 6 skateboards.  Substituting this into the first equation,

x+6 = 21

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x+6-6 = 21-6

x = 15

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