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Molodets [167]
3 years ago
9

Andre took 6 kicks and made 4 goals: 4 out of six. Tom wants to take more than 20 kicks and make a equivalent fraction to Andre.

What are two possible fractions of goals Tom can make?
Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

Tom can either take 24 kicks and make 16 goals or 30 kicks and make 20 goals.

Step-by-step explanation:

Andre made 4 goals out of 6 kicks.

Tom wants to take more than 20 kicks and to make an equivalent fraction to Andre.

<u>Possibility 1:</u>

Let Tom makes 24 kicks.

To get 24, we need to multiply the denominator of Andre's fraction by 4.

So, \frac{4}{6} =\frac{16}{24}

Therefore, Tom can take 24 kicks and make 16 goals.


<u>Possibility 2:</u>

Let Tom makes 30 kicks.

To get 30, we need to multiply the denominator of Andre's fraction by 5.

So, \frac{4}{6} =\frac{20}{30}

Therefore, Tom can take 30 kicks and make 20 goals.



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Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

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commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25  .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

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subtract equation 2 from 1

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substitute for R in equation 1 to arrive at X(base salary)

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X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

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