25.50 = 7d + 2p
52.50 = 5d + 10p
These are the two equations we're going to use to determine the price of popcorn.
First we need to eliminate one set of variables. Let's eliminate the drinks.
127.50 = 35d + 10p
-367.50 = -35d + -70p
-240 = 0d - 60p
-240 = -60p
P = 4.00
So, popcorn is $4, right? Let's keep working on the problem so we can double check...
So, now let's add the $4 as the variable for P.
25.50 = 7d + 8
52.50 = 5d + 40
17.50 = 7d
12.5 = 5d
d = 2.5
d=2.5
This checks out! Since both equations state that drinks are 2.50, that means we have the right pricing for popcorn... $4.00
Popcorn is $4.00, drinks are $2.50
<em>Hope I could help! :) </em>
Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).
Step-by-step explanation:
A. (5; _) <em>[x = 5; y - ?]</em>
x² + y² = 25
5² + y² = 25
25 + y² = 25
25 + y² - 25 = 25 - 25
y² = 0
y = 0
A. (5; 0)
B. (_; -5) <em>[x - ?; y = -5]</em>
x² + y² = 25
x² + (- 5)² = 25
x² + 25 = 25
x² + 25 = 25
x² + 25 - 25 = 25 - 25
x² = 0
x = 0
B. (0; - 5)
C. (_; 0) <em>[x - ?; y = 0]</em>
x² + y² = 25
x² + 0² = 25
x² + 0 = 25
x² = 25
x = ± √25 = ± 5
C. (-5; 0) or (5; 0)
<em>Point A has coordinates (5; 0), which means that</em>
<em>point C has coordinates (-5; 0).</em>
D. (0; _) <em>[x = 0; y - ?]</em>
x² + y² = 25
0² + y² = 25
0 + y² = 25
y² = 25
y = ± √25 = ± 5
D. (0; - 5) or (0; 5)
<em>Point B has coordinates (0; -5), which means that</em>
<em>point D has coordinates (0; 5).</em>
Answer:
x > 6.5
Step-by-step explanation:
Let's temporarily replace the inequality sign ">" with "=".
This gives us: 5x - 2 = 3x + 11.
If we subtract 3x from both sides we are left with:
2x - 2 = 11.
If we add 2 to both sides, we are left with:
2x = 13.
If we divide both sides by 2, we are left with
x = 6.5.
Now let's substitute back in the inequality sign
x > 6.5
Hope this helps!!!! :)
Answer:
(1/0) infinite slope if it is going wrong sorry
Answer:
Step-by-step explanation:
x=3(180-x)
4x=540
x=135
other angle=180-135=45°
angles are 135°,45°