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STatiana [176]
3 years ago
11

Solve the linear equation.

Mathematics
1 answer:
Nataliya [291]3 years ago
8 0

7x+10=\dfrac{1}{3}(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=\dfrac{1}{3}\cdot12x-\dfrac{1}{3}\cdot3+14x\\\\7x+10=4x-1+14x\\\\7x+10=18x-1\qquad\text{substitute 10 from both sides}\\\\7x=18x-11\qquad\text{subtract 18x from both sides}\\\\-11x=-11\qquad\text{divide both sides by (-11)}\\\\\boxed{x=1}

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Answer:

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Step-by-step explanation:

1) Break the percents down into smaller increments - 5% for example.

2) 5% or 1/20 of 40 (the whole) is 2.

3) Using this knowledge, we know that a player who makes 5% of his throws makes 2 shots.

4) 75% is made up of 15 groups of 5%, so that means if you multiply 15 by 2 (the number of shots made for every group of 5%), then you get 30.

5) 70% is made up of 14 groups of 5%, so that means if you multiply 14 by 2 (the number of shots made for every group of 5%), then you get 28.

6) 65% is made up of 13 groups of 5%, so that means if you multiply 13 by 2 (the number of shots made for every group of 5%), then you get 26.

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