Answer:
Scale factor = ½
Step-by-step explanation:
The original image is the preimage = ∆ACB
The new image is the image = ∆DFE
The scale of factor of dilation = image/preimage = DF/AC
DF = 6 cm (given)
AC = 12 cm (given)
Plug in the values into the equation to find the scale factor of dilation:
Scale factor = 6/12
Scale factor = ½
Answer: 8
Step-by-step explanation:
Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.
Total marbles other than green = 8
Total marbles other than green and yellow = 6
Then the number of sets of seven marbles include at least one yellow one but no green ones:-
![^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8](https://tex.z-dn.net/?f=%5E%7B2%7DC_1%5Ctimes%5E%7B6%7DC_6%2B%20%5E2C_2%5Ctimes%5E6C_5%5C%5C%5C%5C%3D%202%5Ctimes%201%2B1%5Ctimes6%5C%5C%5C%5C%3D2%2B6%3D8)
Number of sets of seven marbles include at least one yellow one but no green ones = 8
Y = mx + b
m = (0 - -5)/(6 - 3) = 5/3
y = 5/3x + b
0 = 5/3(6) + b
b = -10
(y = 5/3x - 10)3
3y = 5x - 30
3y - 5x = -30
5x - 3y = 30
Answer:
vv
Step-by-step explanation:
Each bottle serves 2 students. He needs to buy 14/2 = 7 bottles.