Answer:
Step-by-step explanation:
Put (-6,0) and (0,3) into a table of values
form of the equation: mx+b
x -6 0
y 0 3
3/-6=-0.5 (m)
3=b (the value of y when x=0)
equation: y=0.5x+3
Answer:

Step-by-step explanation:
From the graph,
The initial red incline is a straight line passing through the origin.
So, a straight line passing through the origin is of the form:

Where, 'm' is the slope.
Now, the slope of a given as the change in y value to change in x value.
Consider the two end points of the red line (0, 0) and (4, 6).
The slope with two points
on the line is given as:

Plug in
. Therefore, slope is:

Hence, the equation of the initial red incline is:

Answer:
1. The probability that the T-shirt will be grey :-
=》

=》

=》

hence, the probability of grey t-shirt is 0.1
2. The probability that the T-shirt will not be red :-
=》

=》

=》

=》

The probability that the T-shirt will not be red is
0.8
3. He takes one of his blue T-shirts at random.
What is the probability that the T-shirt is light blue
total blue t-shirts = 5
so, the probability of choosing light blue t-shirt is
=》

=》

=》

hence, the probability of choosing light blue t-shirt is 0.2
————————————-The answer is 3.78
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75