Answer:
He would need to run 5/12 more miles to reach his goal.
Step-by-step explanation:
You want to get all your fractions to the denominator of 12.
1/2 = 6/12
1/4 = 3/12
2/3 = 8/12
Then you would want to add them all up, 6/12+3/12+8/12 = 17/12.
Then you subtract his goal of 22/12-17/12, to get your answer of 5/12.
Hope this helps! :)
Answer:
It is 44
Step-by-step explanation:
20971520
I did 4^11 x 5 (because you could say the first one is 5 x 1 and 4^0 = 1)
Answer:
20 inches
Step-by-step explanation:
Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by
A =1/2(a + b)h where a = length along the top of the cape = 24 in, b = length along the bottom of the cape = 36 in and h = height of the cape
So, h = 2A/(a + b)
= 2 × 600 in²/(24 in + 36 in)
= 1200 in²/60 in
= 20 in
So, the height of the cape is 20 inches
Well first you find the area of your basic rectangle with equation:
area (a) = length (L) * width (w)
So we got:
a = L * w
Now we find the area of a new rectangle with quadruple side lengths than our (a) rectangle and im going to call this area A:
A = 4L * 4w or A = 4 (L * w)
we want to see how the ratio of A to a or A/a so we can set both equations equal to 1 by dividing the areas to both sides of their respective equations:
1 = (L * w) / a and
1= 4(L * w) / A
since they both equal 1 then the equations have to equal each other:
(L * w) / a = [4 (L * w) / A
cross multiply
A *(L * w) = a *[4 (L * w)]
divide both sides by (L * w)
A = 4a
as you can see by quadrupling the sides by 4, this small rectangles area would also increase by a factor of four
