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Lyrx [107]
3 years ago
7

Simplify the product. 3p4(4p4 + 7p3 + 4p + 1)

Mathematics
2 answers:
hoa [83]3 years ago
6 0
3p^4(4p^4 + 7p^3 + 4p + 1)


<span>=<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span><span><span><span>4<span>p^4</span></span>+<span>7<span>p^3</span></span></span>+<span>4p</span></span>+1</span>)</span></span></span><span>=<span><span><span><span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>4<span>p^4</span></span>)</span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>7<span>p^3</span></span>)</span></span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>4p</span>)</span></span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(1)</span></span></span></span><span>=<span><span><span><span>12<span>p^8</span></span>+<span>21<span>p^7</span></span></span>+<span>12<span>p^5</span></span></span>+<span>3<span>p^<span>4</span></span></span></span></span>
JulsSmile [24]3 years ago
3 0

The correct answer is 12p8+21p7+12p5+3p4 is your anwser.

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A jar contains n nickels and d dimes there are 30 coins in the jar and the total value of the coins is $2.10 Set up and solve a
Gekata [30.6K]

Answer:

12 dimes and 18 nickels

Step-by-step explanation:

Equations given by word problem:

n + d = 30

0.05n + 0.1d= 2.10

How I solved them:

d= 30 - n

0.05n + 0.1(30 - n)= 2.10

0.05n + 3 - 0.1n= 2.10

-0.05n= -.09

Divide both sides by -0.05

n= 18

18 + d = 30

d= 12

8 0
3 years ago
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poizon [28]

Answer:

The number of new books sold  =  10

The number of used books sold (u)   = 15

The number of magazines  sold (m) =   20

Step-by-step explanation:

Let us assume the number of new books  = n

So, the number of used books sold  (u)  = New books sold + 5 =  n + 5

Also, the number of magazines sold (m)  = 2 x ( Number of new books sold)  

= 2 n

⇒  u = n + 5, m = 2 n

Here, the cost of each new book  n-  = $12

So, the cost of n new books = n  x ($12) = 12 n

the cost of each used book  u  = $8

So, the cost of u = (n+ 5)  used  books = n+5  x ($8) = 8 n + 40

the cost of each magazine  m  = $5

So, the cost of m = (2n )  magazines = 2n  x ($5) = 10 n

Also, total earnings = $340

⇒ 12 n + 8n +40 + 10 n = 340

or,  30 n =  300

or,n = 300/30 = 10

Hence the number of new books sold  = n = 10

The number of used books sold (u)  = n + 5  = 15

The number of magazines  sold  = m = 2 n = 20

4 0
3 years ago
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3 years ago
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