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 = 55
y = 70
Step-by-step explanation:
Since all three sides are equal, as indicated by the lines on the sides, all three angles are equal
Since a triangle is equal to 180 degrees
180/3 = 60
Each angle is 60 degrees
x+5 = 60
Subtract 5 from each side
x +5-5 = 60-5
x = 55
y-10= 60
y-10+10 = 60+10
y= 70
Answer:
D
Step-by-step explanation:
Area of triangle= ½ ×base ×height
Since the length of the base and the height of the triangle is equivalent to the length of a side of the square, s,
area of triangle
= ½ ×s ×s
= ½s²
Given that the area of the triangle is 12.5 units²,
½s²= 12.5
Multiply both sides by 2:
s²= 12.5(2)
s²= 25
Square root both sides:
s= 5 units
(reject negative value since s > 0)
Total distance = 1.6 miles
Madison has already hiked 0.4 miles
Miles left = 1.6 - 0.4 = 1.2 miles left
