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7nadin3 [17]
2 years ago
15

Lucia paints a certain room in 5 hours, and Marie paints the same room in 8 hours. How long does it take them to paint the room

if they work together? Round to the nearest tenth.
Mathematics
1 answer:
cluponka [151]2 years ago
6 0

Answer:

3.1 hrs  painting together

Step-by-step explanation:

Lucia rate = 1 room/ 5 hr

Marie rate = 1 room/8hr

now combine the rates

1 room / ( 1/5 + 1/8) = 3.077 hrs

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You can select 1 girl from a group of 4 girls in 4 ways.
Calculate in how many ways you can choose 2 boys from a group of 6 boys:
(^6 _2)=\frac{6!}{2! (6-2)!}=\frac{6!}{2! \times 4!}=\frac{4! \times 5 \times 6}{2 \times 4!}=\frac{5 \times 6}{2}=\frac{30}{2}=15
You can choose 2 boys in 15 ways.
Using the rule of product, you can calculate that you can choose 1 girl and 2 boys in 4×15=60 ways.

The probability of choosing 1 girl and 2 boys is the number of ways you can choose 1 girl and 2 boys divided by the number of ways you can choose 3 people from the group.
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