1/12 each night
I cant draw a picture here but you can draw 4 circles and divide them each into 3 equal parts
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept, or the y value when x = 0 ---> (0, y)]
To find the equation's y-intercepts, you can rearrange the variables, and isolate/get y by itself
#1
cx + ay = b Subtract cx on both sides
ay = b - cx Divide a on both sides
(0, 
) is your answer
Do the same for the rest, and you should get:
#2 (0, 
)
#3 (0, 
)
#4 (0, 
)
Answer:
y=-4x+14
Step-by-step explanation:
A parallel line must always have the same slope, so it must be -4x, and on a graph y=-4x+14 passes through the point (4,-2)
Answer:
c+p = 53
2.5c+1.5p = 105.5
p = 27
c= 26
Mrs. Johnson earned 65
Mr Smith earned 40.5
Mrs Johnson earned 24.50 more
Step-by-step explanation:
Let c = cookies sold
p = popcorn sold
The number of items sold is 53
c+p = 53
The total cost of the items sold is 105.50
The number of cookies sold times 2.50 plus the number of popcorn sold times 1.50 = 105.50
2.5c+1.5p = 105.5
System of equations:
c+p = 53
2.5c+1.5p = 105.5
Multiply the second equation by 10 to clear the decimals
10 *(2.5c+1.5p) = 10*105.5
25c+15p = 1055
Divide by 5
25c/5 +15p/5 = 1055/5
5c+3p =211
Multiply equation 1 by -5
-5(c+p)=-5*53
-5c-5p=-265
Add the equations
5c+3p =211
-5c-5p=-265
---------------------
-2p = -54
Divide by -2
-2p/-2 = -54/-2
p = 27
Now we need to find c
c+p = 53
c+27 = 53
Subtract 27 from each side
c+27-27 = 53-27
c= 26
Mrs. Johnson earned the number of cookies times 2.5
c* 2.5
26*2.5 =65
Mr Smith earned the number of popcorn times 1.5
p*1.5
27*1.5
40.5
Mrs Johnson earned 65-40.5 = 24.50 more
