Question:
The local community theater sold a total of 240 tickets for Saturday night’s performance. They sold 180 more full-price tickets than discount tickets. Which system of equations can be used to model this situation?
Answer:
Step-by-step explanation:
Given
Represent the number of full price with x and discounted price with y.
From the question:
x = 180 more than y
So:
Also, a total of 240 were sold.
So:
Hence, the equations are:
Solving further;
Substitute 180 + y for x in
Solve for 2y
Divide through by 2
Recall that:
Hence:
<em>Full Price = 210</em>
<em>Discounted = 30</em>
<em />
Answer:
x = 1 and y = 4
Step-by-step explanation:
Solution,
(x+2,y) = (3,4)
Now,
Comparing corresponding elements,
x+2 = 3 , y = 4
or, x = 3 - 2 , y = 4
or, x = 1 , y = 4
Therefore, the value of x is 1 and y is 4.
Answer:
look it up on google if you havent tried already. also it doesn't hurt to ask for help from someone you know.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
-1/2(-5/6 +1/3)
PEMDAS
parentheses first
(-5/6 +1/3)
Get a common denominator
-5/6 + 1/3 *2/2
-5/6 + 2/6 = -3/6 = -1/2
Substitute this back in
-1/2 ( -1/2)
Multiply
1/4
Answer:
9/25
Step-by-step explanation:
Our box contains 10 socks. (6, which are black and 4 which are red)
Probability of picking 1 black sock will be 6/10
Number of ways it can occur / Total number of outcomes.
In this question we pick two socks, one black firstly and another black, in the second turn. When we say AND, it means intersection
P (B₁ ∩ B₂) = 6/10 . 6/10
When the events are independent, the probability of the intersection will be the product of the probabilities,
P (B₁ ∩ B₂) = 36/100 = 9/25
