Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Melinda paints 7/8 of a wall in 1 1/6 hours. What part of a wall does Melinda paint in 1 minute.

Sagot :

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.

For this case we can make the following rule of three:

[tex] \frac{7}{8} [/tex] of a wall ---------------> [tex] 1 \frac{1}{6} [/tex] hours

x ------------------------------> [tex] \frac{1}{60} [/tex]

Note: we have the following conversion:

1 hour = 60 minutes

From here, we must clear the value of x we have then:

[tex] x = \frac{\frac{1}{60}}{1\frac{1}{6}}*\frac{7}{8} [/tex]

Rewriting we have:

[tex] x = \frac{\frac{1}{60}}{\frac{7}{6}}*\frac{7}{8} [/tex]

[tex] x = \frac{6}{420}*\frac{7}{8} [/tex]

[tex] x=\frac{42}{3360} [/tex]

[tex] x=\frac{1}{80} [/tex]

Answer:

A part of a wall that Melinda paints in 1 minute is:

[tex] x=\frac{1}{80} [/tex]