Question

William is a contractor. He is remodeling his home and has decided to do most of the work himself. Occasionally his family will help with some of the work. William wants to start with replacing the molding on his dining room ceiling and window.

Answer 1

(a) William measures the dining room ceiling to see how much molding he will need to go around the perimeter of the room's ceiling. William measured the length of the dining room to be 8 3/4 ft and the width to be 10 7/8 ft. How much molding does William need for the dining room ceiling? Please show your work.

Answer 2

You need to add 8 3/4 + 10 7/8

Answer 3

ok.

Answer 4

Woouldn't it be 8 3/4 + 8 3/4 + !0 7/8 +10 7/8 ?

Answer 5

Yes

Answer 6

ok, thanks

Answer 7

You can also do it like this
\[2 * 8 \frac{3}{4} \space+ \space 2* 10 \frac{7}{8} \]

But this works too
\[ 8 \frac{3}{4} \space +\space 8 \frac{3}{4} \space +\space 10 \frac{7}{8} \space \space+\space 10 \frac{7}{8}\]

Answer 8

Here's more:

(b) William's wife measures the window and adds the measurement to the dining room ceiling measurement. She tells her husband that they need a total of 65 1/8 ft of molding to remold the ceiling and the window. How much molding is needed for the window? Show your work.

(c) William begins to plan his work on the window and finds that the pieces for the height of the window will measure 6 3/4 ft each. How long will he cut each piece of molding for the width of the window? Explain your answer.

(d) William's wife says the molding for the window will take almost 50% of the total molding they need. William says it is closer to 1/3 of the molding. Approximately what percent of the total molding will be used for the window and who is closer to the correct answer? Explain your answer.

Answer 9

Note * = times

Answer 10

Great, thanks a lot!

Answer 11

For B you need to take the answer from a and subtract it by 65 1/8 to find out how much is needed for the window

Answer 12

ok

Answer 13

Here's what I did for (a):

(8 3/4 * 2) + (10 7/8 * 2)
=17 1/2 + 21 6/8
=17 4/8 + 21 6/8
=39 2/8
=39 1/4 feet

Answer 14

Yes now 65 1/8 - 39 1/4 = window molding

Answer 15

Here's what I did for (b):

65 1/8 - 39 1/4
=65 1/8 - 39 2/8
=25 7/8 feet

Correct?

Answer 16

Yes

Answer 17

Ok

Answer 18

Now for c we need to get the width

Answer 19

ok

Answer 20

25 7/8 - (6 3/4 + 6 3/4) = left over molding

once you get that answer you need to divide by two

Answer 21

25 7/8 - (6 3/4 * 2) = width of window

Correct?

Answer 22

make sure to do (6 3/4 + 6 3/4) first and then subtract that from 25 7/8 and then divide by 2

Answer 23

Once you divide by 2 it will be the width

Answer 24

oh, ok I was close

Answer 25

Yeah, now I understand

Answer 26

Got it?

Answer 27

I think. Here's what I got for (c):

(25 7/8 - (6 3/4 * 2)) / 2

Correct?

Answer 28

Yes

Answer 29

Which should give you 12 3/8

Answer 30

12 3/8 is the width

Answer 31

Great! Thanks!

Answer 32

I have to show my work step-by-step, so sorry about that.

Answer 33

It is all good. I am at work so .... :-)

Answer 34

Was hoping no one called lol

Answer 35

lol

Answer 36

boss walked by twice but did not say anything and my colleague is talking about lunch lol

Answer 37

XD

Answer 38

Here's what I have so far for (c):

(25 7/8 - (6 3/4 * 2 )) / 2
=(25 7/8 - 13 1/2) / 2
=(25 7/8 - 13 4/8) / 2
=12 3/8 / 2

Can you help me with the last part? Also am I correct?

Answer 39

openstudy is messing up

Answer 40

ok

Answer 41

Ok lost my self for a minute. 12 3/8 and then divide by 2 like you have it

Answer 42

You have it?

Answer 43

Now for d we need to solve who is correct. Is the window 50% (1/2) of the molding or 1/3?
total molding = 65 1/8
window molding = 25 7/8

Answer 44

25 7/8 of 65 1/8 =
25 7/8 * 65 1/8 = decimal / percentage

Answer 45

ok it is lunch time I hope you get it. Have fun

Answer 46

Thanks a lot!!! Sorry I had to go. Hope to talk to you soon!