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Vitek1552 [10]
3 years ago
11

2. Which equation is equivalent to the equation below?

Mathematics
1 answer:
bekas [8.4K]3 years ago
6 0

Answer:

  b.  5n + 30 = 2n - 2

Step-by-step explanation:

The distributive property requires the outside factor be applied to every term inside parentheses. After eliminating parentheses using the distributive property, terms can be collected on the right.

  5(n +6) = 2(n -3) +4

  5n +5·6 = 2n +2(-3) +4

  5n + 30 = 2n -6 +4

  5n + 30 = 2n - 2 . . . . . matches choice B

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jason ate 1/4 of a pizza. The pizza was a larger that had diameter of 12 inches. how much pizza did jason eat?
Marrrta [24]

Answer:

  9π in², about 28.27 in²

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = π·r² . . . . . where r is the radius

Here, the diameter is 12 in, so the radius is 6 in. The area of the entire pizza is then ...

  A = π·(6 in)² = 36π in²

Jason ate 1/4 of it, so ate an area that is ...

  (1/4)·36π in² = 9π in² ≈ 28.27 in²

_____

<em>Comment on the problem</em>

The problem statement tells you Jason ate 1/4 of a 12-inch pizza. The problem statement does not ask for that quantity to be expressed in any other unit of measure.

3 0
3 years ago
Solve each of the following for x:<br> a) 3x-5=100 b) 6(x-4)=12 c) 1/3x-10=20
galben [10]

Answer:

a) x=105/3 = 35 b) x=6.  c) x=90

Step-by-step explanation:

A) 3x-5=100. To solve this we first add 5 to both sides and we get 3x=105. Then we divide both sides by 3 to find x. We then get x = 105/3 which simplifies to 35. To double check we can put 35 back into the equation and we get 3(35)-5=100 and we get 105-5=100. 100=100 Check

b)6 (x-4) = 12. First we need to divide both sides by 6. then after dividing both sides by 6 we are left with (x-4) = 2. Then we must add both sides by 4 to find x. We will then get x =6. To double check we can put 6 back into the equation and we get 6 (6-4) = 12 and we get 6(2) = 12. 12=12 check

c) 1/3x - 10 = 20. First we need to add 10 to both sides and we end up with 1/3x = 30. Then you can simplify this two ways. Either multiply both sides by 3 or divide both sides by 1/3, either way you will get the same answer. This will leave you with x = 90.  To double check we can put 90 back into the equation and we get 1/3(90) - 10 = 20 and we get 30-10 = 20. 20=20 check

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4 years ago
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Answer:

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Step-by-step explanation:

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