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Nonamiya [84]
3 years ago
11

2 people working at the same rate will take 6 hours to paint a room.

Mathematics
1 answer:
zavuch27 [327]3 years ago
7 0

Answer:4 hours

Step-by-step explanation:

6*2=12

12/3=4

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4 years ago
In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur
miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = ^{18}C_{2}

^{18}C_{2} = \frac{18!}{(18-2)!2!}

^{18}C_{2} = \frac{18!}{16!2!}

^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}

^{18}C_{2} = \frac{18\times17}{2\times1}

^{18}C_{2} = \frac{306}{2}

^{18}C_{2} = 153

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

5 0
2 years ago
What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared
tresset_1 [31]

Answer:

7y^2 - y^2z - 10yz-5

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

A. y squared minus y squared z minus 10 y z minus 5

B. y squared minus y squared z minus 5 y z minus 5

C. 7 y squared minus y squared z minus 10 y z minus 5

D. 7 y squared minus y squared z minus 2 y z minus 5

Given:

3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z

Collect like terms in the expression

3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2

Simplify

7y^2 - 10yz - y^2z - 5

Rewritten as

7y^2 - y^2z - 10yz-5

Option C. 7 y squared minus y squared z minus 10 y z minus 5

Is the answer

4 0
3 years ago
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