Answer:
Step-by-step explanation:
Total marbles in bag= 55
Given that
The number of green marbles is 7 more than 5 times the number of blue marbles.
Let green marble be x
And blue marble be y
Therefore,
Green=seven more than 5 times blue
Green=7+5timesblue
x=7+5y. Equation 1
Also the sum of the marbles is 55
x+y=55. Equation 2
Substitute equation 1 into 2
7+5y+y=55
7+6y=55
6y=55-7
6y=48
y=48/6
y=8
From equation 2
x+y=55
Then, x=55-y
x=55-8
x=47
Then, green marbles is 47.
Also, Blue marbles is 8
2 1/8 × 1/3
= 17/8 × 1/3
= 17/24
now, we're making the assumption that the front and back of the tent are trapezoidal, Check the picture below.
![\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=32\\ a=23\\ b=36.5 \end{cases}\implies \begin{array}{llll} A=\cfrac{32(23+36.5)}{2}\implies A=952 \\\\\\ \stackrel{\textit{twice that much}}{2A=1904} \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Barea%20of%20a%20trapezoid%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bh%28a%2Bb%29%7D%7B2%7D~~%20%5Cbegin%7Bcases%7D%20h%3Dheight%5C%5C%20a%2Cb%3D%5Cstackrel%7Bparallel~sides%7D%7Bbases%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20h%3D32%5C%5C%20a%3D23%5C%5C%20b%3D36.5%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20A%3D%5Ccfrac%7B32%2823%2B36.5%29%7D%7B2%7D%5Cimplies%20A%3D952%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7B%5Ctextit%7Btwice%20that%20much%7D%7D%7B2A%3D1904%7D%20%5Cend%7Barray%7D)
9514 1404 393
Answer:
1344 cubic meters
Step-by-step explanation:
The volume is the product of the dimensions for a rectangular prism:
V = LWH
V = (4 m)(3 m)(112 m) = 1344 m³
Kate needs a volume of 1344 cubic meters.
Answer:
the answer is 24 square feet hope this helps:)
Step-by-step explanation:
