Answer:
Because of probability, a green or red bead would be drawn 14/20 times because there are 20 total beads and adding together the numbers for green and red. From this, if you multiply by 3/3 you can see that 42/60 times it will be a green bead. A reasonable prediction for green beads would then be 42 times. Hope it helps :D
40/100×120=4/1×12=48. 1/4×200=50. so 1/4 of 200 is greater than 40% of 120.
20% goes into 100% 5 times. So you do 480 times 5, which is 2400. So you answer is 2400.
1.
a. 8 x 7 x 1/2 = 56 x 1/2 = 28
b. 24 x 14 x 1/2 = 336 x 1/2 = 168
c. 5 x 12 x 1/2 = 60 x 1/2 = 30
d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6
2.
two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32
rectangle: 15 x 8 = 120
total area: 32 + 120 = 152
let's multiply both sides by the LCD of all fractions, in this case is 4, just to do away with the denominators for a few seconds
![\bf f(x) = \cfrac{1}{4}x^2+\cfrac{1}{2}x-\cfrac{35}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4[f(x)]=4\left( \cfrac{1}{4}x^2+\cfrac{1}{2}x-\cfrac{35}{4} \right)} \\\\\\ 4f(x) = x^2+2x-35\implies 4f(x) = (x+7)(x-5) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill f(x) = \cfrac{1}{4}(x+7)(x-5)~\hfill](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%20%3D%20%5Ccfrac%7B1%7D%7B4%7Dx%5E2%2B%5Ccfrac%7B1%7D%7B2%7Dx-%5Ccfrac%7B35%7D%7B4%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bmultiplying%20both%20sides%20by%20%7D%5Cstackrel%7BLCD%7D%7B4%7D%7D%7B4%5Bf%28x%29%5D%3D4%5Cleft%28%20%5Ccfrac%7B1%7D%7B4%7Dx%5E2%2B%5Ccfrac%7B1%7D%7B2%7Dx-%5Ccfrac%7B35%7D%7B4%7D%20%5Cright%29%7D%20%5C%5C%5C%5C%5C%5C%204f%28x%29%20%3D%20x%5E2%2B2x-35%5Cimplies%204f%28x%29%20%3D%20%28x%2B7%29%28x-5%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20~%5Chfill%20f%28x%29%20%3D%20%5Ccfrac%7B1%7D%7B4%7D%28x%2B7%29%28x-5%29~%5Chfill)