Melinda paints \(\frac{7}{8}\) of a wall in \(\frac{7}{6}\) hours. What part of a wall does Melinda paint in 1 minute?

1h = 60m

7/8w=(1+1/6)h
7/8w=(6/6+1/6)h
7/8w=7/6*60m
7/8w=(7 6 10*m)/6
7/8w=70m
m=(7/8w)/70
**m=1/80w **
In 1 minute Melinda paints 1/80 of the wall.

Answered by Anonymous | 2024-06-10

** A part of a wall that Melinda paints in 1 minute is:**
x = 80 1 ​ ; For this case we can make the following rule of three:
8 7 ​ of a wall ---------------> 1 6 1 ​ hours
x ------------------------------> 60 1 ​
Note: we have the following conversion:
1 hour = 60 minutes
From here, we must clear the value of x we have then:
x = 1 6 1 ​ 60 1 ​ ​ ∗ 8 7 ​
Rewriting we have:
x = 6 7 ​ 60 1 ​ ​ ∗ 8 7 ​
x = 420 6 ​ ∗ 8 7 ​
x = 3360 42 ​
x = 80 1 ​

Answered by carlosego | 2024-06-11

Melinda paints 80 1 ​ of a wall in 1 minute. This was determined by converting her painting time from hours to minutes and using proportions. The calculations showed that for every minute, she paints that fraction of the wall.
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Answered by carlosego | 2024-10-02