55,000÷0.04
=1,375,000
55,000÷0.02
=2,750,000
2,750,000−1,375,000
=1,375,000 increase
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
Answer:
A
Step-by-step explanation:
because i know it find the fi
The graph of g(x) would look the same as the given graph, EXCEPT that it'd be compressed by a factor of 1/3. Try graphing both f(x) and g(x) on your calculator and then comparing the 2 graphs.
Answer:
68°
Step-by-step explanation:
Attached is an image of the isosceles triangle theorem.
Utilizing this theorem, we know that the bottom two angles are congruent, or the same.
We also know that there are 180° in a triangle. Lets find x!
1) Write an equation to find angle x:
56+56+x=180
2) Simplify
112+x=180
3) Subtract 112 from both sides:
x=68°