Answer:
3 different choices
Step-by-step explanation:
This problem is a combination problem: She has 3 friends, and we want to know how many groups of 2 friends there are. We can solve this using the combination of 3 choose 2:
C(3,2) = 3!(1! * 2!) = 3*2/2 = 3 possibilities
If we call her three friends A, B and C, the groups that can be formed are:
A and B
A and C
B and C
Answer:
50 g = 95mm
60 g = 98 mm
0 g = 98/60 = 1.63 mm Step-by-step explanation:hope this help y'all
By definition, the area of a rectangle is:
![A = w * l](https://tex.z-dn.net/?f=%20A%20%3D%20w%20%2A%20l%20%20)
Where,
w: width of the rectangle
l: length of the rectangle
The total area is given by:
![A = A1 + A2](https://tex.z-dn.net/?f=%20A%20%3D%20A1%20%2B%20A2%20%20)
Where,
A1: rectangular wooden board 1
A2: rectangular wooden board 2
Substituting we have:
![60 \frac{3}{8} = (6) (w) + (5\frac{1}{2}) (w)](https://tex.z-dn.net/?f=%2060%20%5Cfrac%7B3%7D%7B8%7D%20%3D%20%286%29%20%28w%29%20%2B%20%285%5Cfrac%7B1%7D%7B2%7D%29%20%28w%29%20%20%20%20)
Rewriting we have:
![\frac{483}{8} = (6) (w) + (\frac{11}{2}) (w)](https://tex.z-dn.net/?f=%20%5Cfrac%7B483%7D%7B8%7D%20%3D%20%286%29%20%28w%29%20%2B%20%28%5Cfrac%7B11%7D%7B2%7D%29%20%28w%29%20%20%20%20)
![483 = 48w + 44w\\483 = 92w](https://tex.z-dn.net/?f=%20483%20%3D%2048w%20%2B%2044w%5C%5C483%20%3D%2092w%20%20)
![w = \frac{483}{92}\\w = 5.25](https://tex.z-dn.net/?f=%20w%20%3D%20%5Cfrac%7B483%7D%7B92%7D%5C%5Cw%20%3D%205.25%3C%2Fp%3E%3Cp%3E%20)
![w = 5 \frac{1}{4}](https://tex.z-dn.net/?f=%20w%20%3D%205%20%5Cfrac%7B1%7D%7B4%7D%20%20%20)
Answer:
The width is given by:
![w = 5 \frac{1}{4}](https://tex.z-dn.net/?f=%20w%20%3D%205%20%5Cfrac%7B1%7D%7B4%7D%20%20)
Answer: x= -2/5 or x= -0.4
combine like terms on left side and get -11+2x. then combine terms on right side and get -13-3x. add the 11 to the right side and get 2x= -2-3x
then add over the 3x and get 5x=-2
and finally divide the -2 from 5x and get -2/5
Answer:
121 mocha cupcakes
Step-by-step explanation:
![\frac{45}{100} \times 220 = 99 \\ 99of \: the \: cupcakes \: were \: chocolate \\ mocha \: cupcakes = 220 - 99 \\ = 121](https://tex.z-dn.net/?f=%20%5Cfrac%7B45%7D%7B100%7D%20%20%5Ctimes%20220%20%3D%2099%20%5C%5C%2099of%20%5C%3A%20the%20%5C%3A%20cupcakes%20%5C%3A%20were%20%5C%3A%20chocolate%20%5C%5C%20mocha%20%5C%3A%20cupcakes%20%3D%20220%20-%2099%20%5C%5C%20%20%3D%20121)