Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
1. find slope
x=tickets sold
y=money made
slope=(y2-y1)/(x2-x1)
take any point
(5,23.75) and (10,47.50)
input (note, (x,y))
(47.50-23.75)/(10-5)=23.75/5=4.75
slope=4.75
y=mx+b
m=slope
b=yintercept
y=4.75x+b
input
47.5=4.75(10)+b
47.5=47.5+b
b=0
equation is y=4.75x
if ticket sold is 24 then x=24
y=4.75(24)
y=114
answer is $114
2. points
(0,56.00) and (3,45.5)
slope=(y2-y1)/(x2-x1)
slope=(45.5-56.00)/(3-0)=-3.5
y=-3.5x
slope=-3.5
logic it yourself
equation is
y=-3.5x+0
y intercept is when x=0 so when the start of it was or when time=0
x intercept is when y=0 is when he has no money left
1.a. rate of change=4.75
b. $114
2. a.do this yourself, (desmos graphing calculator)
b. slope=-3.5 (duh, means money goes down with time)
c. equaiton is y=-3.5x+0, xint meanss when he has no money, y int means when time=0 or when it started
4/9 times 4/9 is 16/81.
To make 4/9 of a recipe, 16/81 cups of granola needed.
I have attached screenshots for the complete question as well as the diagram associated with it.
Answer:point C
Explanation:A plane and a line can either:
1- have no intersection
2- intersect in a point
3- intersect in a line in case the whole line is found in this plane
For the given:
We can see that line CG does not belong to the plane ABCD, however, they both intersect.
This means that the intersection between them is a point.
We can note that the only point common between the line and the plane is point C.
Therefore, plane ABCD intersects line GC at point C
Hope this helps :)