Answer: 4:1
Step-by-step explanation:
Red paint = 60 ounces
Blue paint = 15 ounces
Ratio = 60/15 = 4/1 = 4:1 to the lowest term.
It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.
(1^2 - 1) + (2^2 - 1) + (3^2 - 1) + (4^2 - 1) = 26
The easier way to find the sum is to use a few simple formulas.
When we have a term that is just a constant c, the formula is c*n.
When we have a variable k, the formula is k*n*(n+1)/2.
When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.
In this case, we have a squared variable k^2 and a constant of -1.
So plug in n=4 to the formulas:
4*5*9/6 - 1*4 = 26
The answer is 26
Step-by-step explanation:
9) C
10) B
11) (b-5)(b+8)
12) (7w - 2)²
13) 14(5x + 2)(3x - 1)
14) (4h - 1) and (h + 6)
15) 3 and (a - 2) and (a + 8)
16) 5 and (4w - 1) and (w + 2)
Answer:
k would be 55
Step-by-step explanation:
35+90=125 and assuming that you're looking for a supplementary angle, the total must equal 180 so subtract 180-125 and you get k=55
X for left(blue)=43
x for right(red)=17.5