Answer: 21 quarts of blue paint
Step-by-step explanation: To make a batch of purple paint, it is necessary 2 quarts of red and 3 quarts of blue, resulting in 5 quarts of purple.
So, to make 35 quarts of purple:
5x = 35
x = 7
It is needed, in total, 7 quarts of purple.
As, the ratio is 2 quarts of red to 3 quarts of blue:
Blue: 7 x 3 = 21
For 35 quarts of purple paint, it's necessary 21 quarts of blue paint.
All you have to do is convert the boxed ones into positive because anything between |x| is always positive! It can’t be negative. That’s the rule.
Answer: y-3=4(x+1) in point-slope form and y=4x+7 in slope intercept form
Step-by-step explanation:
You can find the point-slope form by plugging the numbers into the following: y-y₁=m(x-x₁).
You will end up with y-(3)=(4)(x-(-1)) which when simplified equals y-3=4(x+1).
To find slope intercept form you know need to isolate y and simplify.
Adding 3 to both sides results in y=4(x+1)+3.
If you then distribute you get y=4x+4+3 which simplifies to y=4x+7.
Answer: 1020 ways
Step-by-step explanation:
Let C= comedy
Let M= Mystery
Number of movies(comedy) = 10
Number of movies (mystery) = 10
The total number of movies from which selection is to be made is 10 + 10
= 20
We want to pick 3 movies from 10 comedies and 10 mysteries with at least one mystery.
The selection will be from;
Unconditional selection - (0 mysteries)
=unconditional selection - ( all comedy included)
= 20C3 - 10C3 For combination, [nCr = n! /(n-r) r! ]
= [20!/(20-3)!3!] - [10!/(10-3)!3!
= (6840/6) - (720/6)
= 1140 - 120
= 1020 ways
