Answer:
There are 47 Borogroves and 35 Mome raths
Step-by-step explanation:
Here, given the number of legs, we want to find the number of each type of animals
Let the number of borogoves be b and the number of mome raths be m
From the question, there are 82 creatures;
Thus;
m + b = 82 ••••••••(i)
the total number of legs by b borogroves will be b * 2 = 2b
the total number of legs by m mome raths will be m * 4 = 4m
the sum of all legs is 234
2b + 4m = 234 •••••••••(ii)
From equation 1, m = 82-b
Substitute this into equation ii
2b + 4(82-b) = 234
2b + 328 - 4b = 234
4b-2b = 328-234
2b = 94
b = 94/2
b = 47
Recall;
m + b = 82
m + 47 = 82
m = 82-47
m = 35
n is a number
"the sum of <span>a number and twelve" is (n+12)
"</span><span>Six times the sum of a number " is 6(n+12)
6(n+12)=40
6n+72=40
6n=40-72
6n= - 32
n=-32/6 = -16/3 or -5 1/3</span>
Answer:
x= 60° degree
Step-by-step explanation:
180°-40°= 140°
140= x+ x+ 20
140 -20 =2x
2x = 140 - 20
2x = 120
x = 60°
Answer:
Dimensions 30 in x 30 in x 15 in
Surface Area = 2,700 in²
Step-by-step explanation:
Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:
The total surface area is given by:
Rewriting the surface area function as a function of 'r':
The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:
![A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in](https://tex.z-dn.net/?f=A%3D54%2C000%2Ar%5E%7B-1%7D%2Br%5E2%5C%5C%5Cfrac%7BdA%7D%7Bdr%7D%3D0%3D%20-54%2C000%2Ar%5E%7B-2%7D%2B2r%5C%5C%5Cfrac%7B54%2C000%7D%7Br%5E2%7D%3D2r%5C%5C%20r%3D%5Csqrt%5B3%5D%7B27%2C000%7D%5C%5Cr%3D30%5C%20in)
The value of 'h' is:
The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.
The surface area is:
Answer:
yeah, it's A your correct!
hope it helps;)
