Answer:
12 and 1/2 (12.5)
Step-by-step explanation:
We need the perimeter of the window for framing
The window is in the shape of a rectangle with the height of
![9 \frac{1}{3}](https://tex.z-dn.net/?f=9%20%5Cfrac%7B1%7D%7B3%7D%20)
feet and width of
![6 \frac{3}{4}](https://tex.z-dn.net/?f=6%20%5Cfrac%7B3%7D%7B4%7D%20)
. The diagram of the shape is shown below
The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.
The perimeter of the window is
![9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4}](https://tex.z-dn.net/?f=9%20%5Cfrac%7B1%7D%7B3%7D%2B9%20%5Cfrac%7B1%7D%7B3%7D%2B6%20%5Cfrac%7B3%7D%7B4%7D%2B6%20%5Cfrac%7B3%7D%7B4%7D%20)
=
We have two whole numbers 18 and 12 and two fractions
![\frac{2}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%20)
and
![\frac{6}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B4%7D%20)
Adding the two fractions that have different denominator
![\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B3%7D%2B%20%5Cfrac%7B6%7D%7B4%7D%20%3D%20%5Cfrac%7B8%7D%7B12%7D%2B%20%5Cfrac%7B18%7D%7B12%7D%3D%20%5Cfrac%7B26%7D%7B12%7D%20)
, which is an improper fraction which we can change into a mixed number
![2 \frac{1}{6}](https://tex.z-dn.net/?f=2%20%5Cfrac%7B1%7D%7B6%7D%20)
So the perimeter of the window is
and the length of wood needed for the frame is
![32 \frac{1}{6}](https://tex.z-dn.net/?f=32%20%5Cfrac%7B1%7D%7B6%7D%20)
feet
Answer:3.13 rounded to nearest hundredths
Step-by-step explanation:
So dad is represented by x
son is represented by y
so x is (x=) 7 times his son (7y)
our first sentence is x=7y
10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)
so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5
the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15
dad=35
son=5
Answer:
I think it's A
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