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katrin2010 [14]
3 years ago
9

solve the following inequality. Then plays the correct answer in the box provided. answer in terms of a mixed number. 2(P+1)+3(P

+2)>2
Mathematics
1 answer:
Tasya [4]3 years ago
5 0
<span>2(P+1)+3(P+2) >  2

Start by distributing.....

2p + 2 + 3p + 6  >  2

Combine like terms........

5p + 8 > 2

Subtract both sides by 8

5p  >  - 6 

Divide both sides by 5 

p >  - 6/5  is the answer 

</span>
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Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205    ...(i)

0.05x+0.25y = 31.85 ... (ii)    [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637   ...(iii)

Eliminate (i) from (iii)

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⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

108+x=205\Rightarrow\ x= 97

Hence, there are 97 nickels and 108 quarters.

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