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kvasek [131]
3 years ago
12

QUICKLY PLEASE!! 18POINTS! 6(3p – 2) = 24

Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0

Answer:

p= 2

Step-by-step explanation:

So first you want to distribute the 6 to 3p-2 which basically means multiply

6(3p – 2) = 24

6 times 3p is 18 and 6 time -2 is -12

* remember a negative and a positive equal a negative*

18p-12=24

you want to get 18p by itself, so in order to do that you can add 12 to both sides because if you add 12 on the left side it cancels out -12 and whatever you do to one side you have to do it to the other so add 12 to 24 which is 36

18p = 36

since you want to get p by itself you divide p on both sides so it can cancel out 18 and 36/18 is 2

so p = 2

if you are wondering why i divide it and not subtract or add it is because 18 and p are stuck together so you have to divide but if it  was like 18 + p you can subtract because 18 and p arent together

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6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect
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Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

<u>For top part</u>

Length = 10 inches

Width = 5 inches

Height = 6 inches

<u><em>As we know:</em></u>

<u><em /></u>Volume\ of\ rectangular\ prism =length\times width\times height

                                                 =10\times5\times6=300\ cubic\ inches

<u>For bottom part</u>

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

Volume\ of\ rectangular\ prism =length\times width\times height

                                                 =10\times9\times6=540\ cubic\ inches

Volume of two steps = 300 + 540 = 840 cubic inches

<em>Therefore, the volume of the steps are 840 cubic inches.</em>

<em></em>

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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