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Alex787 [66]
3 years ago
7

You and two friends are playing basketball. You make 7 out of 15 shots. Your first friend makes 6 out of 10 shots and your secon

d friend makes 5 out of 12 shots. Who is the better shooter? How would you solve this problem using what you know about rational numbers?
Mathematics
1 answer:
Nina [5.8K]3 years ago
4 0
First, you will need to find the percentage of shots made for each person, or you can find the least common denominator. This is because it makes it easier to see how the numbers compare to each other in size. You can find the percentage of shots made by looking at how many shots a person made and dividing it by the total shots that person made, which us the denominator. Then, you would take the decimal and move it two places to the right. Once you find the percentages of all three people, you can then compare the percentages to each other. In this case, the higher the percentage, the better the shooter that person is.
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In order to simplify this expression, we need to multiply the numeric values together and the variables together.

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X-(9x-10)+11=12x+3(-2x+ 1/3)
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X - (9x - 10) + 11 = 12x + 3(-2x + \frac{1}{3} ) equals x = \frac{10}{7} .

First, simplify brackets. / Your problem should look like: x - 9x + 10 + 11 = 12x + 3(-2x + \frac{1}{3} ). 
Second, simplify x - 9x + 10 + 11 to -8x + 10 + 11. / Your problem should look like: -8x + 10 + 11 = 12x + 3(-2x + \frac{1}{3} ).
Third, simplify -8x + 10 + 11 to -8x + 21. / Your problem should look like: -8x + 21 = 12x + 3(-2x + \frac{1}{3} ).
Fourth, expand. / Your problem should look like: -8x + 21 = 12x - 6x + 1.
Fifth, simplify 12x - 6x + 1 to 6x + 1./ Your problem should look like: -8x + 21 = 6x + 1.
Sixth, add 8x to both sides. / Your problem should look like: 21 = 6x + 1 + 8x.
Seventh, simplify 6x + 1 + 8x to 14x + 1. / Your problem should look like: 21 = 14x + 1.
Eighth, subtract 1 from both sides. / Your problem should look like: 21 - 1 = 14x.
Ninth, simplify 21 - 1 to 20. / Your problem should look like: 20 = 14x.
Tenth, divide both sides by 14. / Your problem should look like: \frac{20}{14} = x.
Eleventh, simplify \frac{20}{14} to \frac{ 10}{7} . / Your problem should look like: \frac{10}{7} = x.
Twelfth, switch sides. / Your problem should look like: x = \frac{10}{7} which is your answer.

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Mandarinka [93]

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Your answer is 37.

Step-by-step explanation:

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