Use algebra to set up 2 equations.
Assign c as number of tickets for CATS and w for number of tickets of WICKED
c + w = 2700
c / w = 7 / 11
Then solve for one of them in the first equation
c = 2700 - w
Then put this value for c into the 2nd equation
(2700 - w) / w = 7 / 11
Now cross multiply the numerator by denominator of both numerator and denominator pairs
7w = 11 x (2700 - w)
7w = 29700 - 11w
Now solve for w
7w = 26700 - 11w
Add +11w to both sides
18w = 29700
Now divide by 18 on both sides
w = 1650
Then c is the remainder of that ... 2700 - 1650 = 1050
You can also check because 7 / 11 = 1050 / 1650
N/4 < -1 — we can multiply both sides with 4, so we dont have to deal with fractions.
N < -4
So, our N goes left from -4 on a number line.
-10x<-100 — divide both sides by 10
-x < -10
x > 10
X is from 10 rightwards.
5x>20 — divide both sides by 5
x > 4
X is rightwards from 4.
-4/3
Parallel lines have the same slope.
Y intercept is where our x variable is equal to 0 and where the graph touches the y-axis.
Therefore, you can get the y intercept by just plugging in x = 0. For example, in the linear function: f(x) = 2x + 3, our y intercept would be (0,3) because we just set our x value equal to 0.
Answer:
Step-by-step explanation:
<u>Ratio of corresponding sides of similar triangles are:</u>
<u>Substitute values</u>
- (9+3)/3 = 12/x
- 4 = 12/x
- x = 12/4
- x = 3