Answer:
P = $7.00
Step-by-step explanation:
Movie tickets = $8.50
Drink = $4.75
Two friends also bought popcorn
Total spent by the group = $53.75
Given equation:
3(8.50 + 4.75) + 2p = 53.75
Where,
P = cost of one order of popcorn
3(8.50 + 4.75) + 2p = 53.75
25.50 + 14.25 + 2p = 53.75
39.75 + 2p = 53.75
2p = 53.75 - 39.75
2p = 14
p = 14 / 2
p = 7
p = $7.00
$30 is 60% of $50.
100 % is the whole figure. Based on the problem, 100 % is separated into two parts, 60% and 40%
100% = 60% + 40%
To get the number where $30 is 60%. Let X be the 100% number.
First, divide all number by 100% to remove the percentage and get the whole number.
100%X = 30 + 40%X
X = 30 + 0.40X
X - 0.40X = 30
0.60X = 30
To get X, divide both sides by 0.60
X = 30 / 0.60
X = 50
To check: Substitute all X by 50.
X = 30 + 0.40X
50 = 30 + (0.40*50)
50 = 30 + 20
50 = 50 EQUAL. CORRECT.
Any point with coordinates (x, y) reflected across the y-axis is going to have the opposite x value that it did before.
You should be able to find the coordinates yourself for part a. (you didn't provide the original ones so I can't help you there)
Here is the "rule" for a reflection across the y-axis:

And when we go 1 unit to the right and 2 down, that's the same as

Combining those into one rule is pretty simple, Use our result for the first in the second and we would get

, so the rule is

.
Part A is asking for the coordinates after the reflection (x, y) ⇒ (-x, y).
Part C is asking for the coordinates after the full translation ⇒ (-x+1, y-2)
4x-2x-7x= -5x
-5-3=-8
-5x-8
Answer:
D = 90°
Step-by-step explanation:
the square on the angle means its a right angle and right angle is always 90°