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gizmo_the_mogwai [7]
3 years ago
11

Which of the following is equivalent?

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
8 0

Answer:

B. 6x - 3y - 29

Step-by-step explanation:

2x + 4(x - 5) - 3(y + 3) <em>{First, I'll have to use the distributive property TWICE. First to multiply 4 by x - 5 & 3 by y + 3.}</em>

2x + 4x + 4(-5) - 3y - 3(3) <em>{Multiply 4 by -5 to get -20, and -3 by 3 to get - 9.}</em>

2x + 4x - 20 - 3y - 9 <em>{Now add like terms.}</em>

6x - 3y - 20 - 9 <em>{Subtract 9 from -20 to get -29. The equation is solved.}</em>

6x - 3y - 29

The expression that is equivalent to 2x + 4(x - 5) - 3(y + 3) is 6x - 3y - 29, which is B.

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3 years ago
A community park is shaped like a trapezoid with a height of 30 yd, a top base of 25yd,and a bottom base of 33yd. The park has a
Likurg_2 [28]

Answer: 819.73 yd²

<u>Step-by-step explanation:</u>

A_{trapezoid} = \frac{b_{1}+b_{2}}{2}*h

                       = \frac{25+33}{2}*30

                       = \frac{58}{2}*30

                       = 29 * 30

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A_{circle} = \pi r^{2}

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                  = 16π

                  ≈ 50.27

Area of the park = A_{trapezoid} - A_{circle}

 = 870 - 50.27

= 819.73

6 0
3 years ago
Why might you want to use the
Oksana_A [137]
U would do this because no matter the order, the answer will be the same

4 0
3 years ago
Read 2 more answers
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Answer:

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Now we have 3/6+1/6, which is 4/6 (add the numerator).

4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.

So, therefore, the answer is 2/3.

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