Answer:
P= $2.75
Step-by-step explanation:
So first we need to create our system of equations
since each popcorn is 0.40 less than each drink we can make the equation:
D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.
Next, we create the overall equation:
$24.00 = 3P + 5D
Now plug in D from the first equation into the second equation:
$24.00 = 3P + 5( P + 0.40)
Distribute the five and solve for P:
$24.00 = 3P + 5P + 2
$22.00 = 8P
P = $2.75
Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.
1/3=2/6
So he ate 2/6ths of the pizza and now there is 4/6ths left.
He took 1/6ths with him for lunch so 4/6-1/6=3/6
You can simplify 3/6 to 1/2
He was 1/2 of the pizza left.
Answer: d) -5, -40, -640
<u>Step-by-step explanation:</u>
Answer:
0 < x < 3
Step-by-step explanation:
3 < x + 3 < 6
Subtract 3 from all sides
3-3 < x + 3-3 < 6-3
0 < x < 3
Answer:
Slope: 2
Y-intercept: (0, -1) or - 1
Step-by-step explanation:
Given the linear equation, -4x + 2y = -2:
Transform the given equation into its slope-intercept form, y = mx + b:
-4x + 2y = -2
Add 4x to both sides:
-4x + 4x + 2y = 4x - 2
2y = 4x - 2
Divide both sides by 2 to isolate y:
y = 2x - 1 ⇒ This is the slope-intercept form where the slope, m = 2, and the y-intercept is (0, -1).
