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Arada [10]
3 years ago
8

Kenny had a total of 140 minutes to read, do homework, and play video games he spent x minutes reading, he spent 2(x+5) minutes

doing homework, he spent 25 minutes playing video games how many minutes did Kenny spend reading
Mathematics
1 answer:
Licemer1 [7]3 years ago
7 0

Answer:

He spent 52.5 minutes reading.

Step-by-step explanation:

The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5

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At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Gnoma [55]

There would be 12 people at the party!

In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.

Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.

This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.

Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.

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In a population, 11% of people are left handed. In a simple random sample of 160 people selected from this population, the propo
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Step-by-step explanation:

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