Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
<h3>Solving for the measurements of Complementary Angles</h3><h3>
Answer:</h3>
and 
<h3>
Step-by-step explanation:</h3>
Recall that Angles that are complementary to each other add up to 
.
Let 
be the measure of the complementary angle.
If an angle is 
more than its complementary angle, the measure of that angle is 
. The sum of both angles are expressed 
but since the have to add to 
as they are complementary, 
.
Solving for :
Since the other angle measures , we can plug in the value of to find the measure of the angle.
Evaluating :
The measure of the angles are and
If triangle RST and triangle XYZ are similar, the statement that must be true is :
Angle R equals angle X
Triangle R S T
Triangle X Y Z
those three angles will be similar in this case
hope this helps
Answer:
2/3
Step-by-step explanation:
1/3 x 2/1 = 2/3
So you need to use the distributive property. First, solve inside the parentheses. So, 8x times 4y is 32xy, then multiply that by 3 to get 96xy, now multiply 96xy by 2 to get your final answer of 192xy.
