Hey there,
1st hat = x
2nd hat = 2x
3x = $75.12
x= $75.12 / 3
= $25.04
2x = $25.04 x 2
=$50.08
= $50.10 (round off)
Hope this helps ^_^
~Top
Answer:
B) 60.21 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
You can‘t used mixed measurements (feet and inches), so you have to convert each length to inches
8’6”=102’
14’2”=170’
Now find the area
1/2 x 102 x 170 = 8670 in²
This is one of the answers, but the quetion asks how many quart feet you need.
So, convert it back to feet.
8670 x 0.06944444444 = 60.2083333
(You could also have converted the two lengths to feet. 8’6” = 8.5 ft. 14’2” = 14.16666666. This way would probably have been faster.
1/2 x 8.5 x 14.166666 = 60.20833333)
We have to determine the value of 
= (5(9)+6) + (5(10)+6) +(5(11)+6) + .......... + (5(21)+6)
= 51+56+61+66+ ........ + 111
Since, the common difference is 5, hence this series is in arithmetic progression.
Sum of AP is given by the formula:
![\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Since, there are 13 terms.
= ![\frac{13}{2}[2(51)+(13-1)5]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B2%2851%29%2B%2813-1%295%5D)
= ![\frac{13}{2}[102+60]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B102%2B60%5D)
= ![\frac{13}{2}[162]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B162%5D)
= 
= 1053
Therefore, the sum of the series is 1053.
So, Option G is the correct answer.
