6 cookies for every 4 plates....6/4 = 1.5 cookies per plate
2 brownies for 4 plates.....2/4 = 0.5 brownies per plate
for 10 plates...
1.5(10) = 15 cookies <==
0.5(10) = 5 brownies <==
★ Sigma Operator ★
Option C is the correct answer of the above summation series
Description -
Upper limit of sigma - ∞ [ where to stop ]
Lower Limit - 10 [ Where to start ]
Argument = n²
Hence we'll obtain - 100 + 121 + ... ∞
Answer:
first multiply the numbers in side the parentheses, make the number an improper fraction(check for cross multiplication) then multiply.
Step-by-step explanation:
For the first line we have a slope of (y2-y1)/(x2-x1)
(2--2)/(1--1)=4/2=2 so we have:
y=2x+b, now solve for b with either of the points, I'll use: (1,2)
2=2(1)+b
b=0 so the first line is:
y=2x
Now the second line:
(1-10)/(4--2)=-9/6=-3/2 so far then we have:
y=-3x/2+b, using point (4,1) we solve for b...
1=-3(4)/2+b
1=-6+b
b=7 so
y=-3x/2+7 or more neatly...
y=(-3x+14)/2
...
The solution occurs when both the x and y coordinates for each are equal, so we can say y=y, and use our two line equations...
2x=(-3x+14)/2
4x=-3x+14
7x=14
x=2, and using y=2x we see that:
y=2(2)=4, so the solution occurs at the point:
(2,4)