We have 2 types of tickets, A tickets and B tickets. The total number of tickets sold was 500, so an equation for this NUMBER of tickets is A + B = 500. The MONEY equation is something different. A tickets cost 10, so they are represented by 10A; B tickets cost 60, so they are represented by 60B. The total dollar sales for A and B are 6000. Our money equation for the sales is 10A + 60B = 6000. Solve the first equation for A: A = 500 - B. Sub that value for A into the second equation to solve for B: 10(500-B) + 60B = 6000. Distribute through the parenthesis to get 5000 - 10B + 60B = 6000. Combine like terms to get 50B = 1000. B = 20. There were 20 type B tickets sold. A = 500 - B, so A = 500 - 20 and A = 480. There were 480 type A tickets sold.
Answer: Use the standard form to find the vertices.
Vertex
1:(10,0) vertex 2:(-10,0)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Answer: Girls: 20
Boys: 30
Step-by-step explanation: 40% of 50 is 20, which means there are 20 girls.
Subtract 50-20 to get the number of boys, which is 30.
Answer:
m= -20/11
Step-by-step explanation:
Slope is equal to the change in <em>y</em> over the change in <em>x</em>, or rise over run.
m= change in y/ change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1/
x
2
−
x
1
Substitute in the values of x and y into the equation to find the slope.
m= 3-(-17)/-6-(5)
m= -20/11
