Answer: The number of child tickets is 85 and the number of adult tickets is 95.
Step-by-step explanation:
Let C = Number of child tickets
A = Number of adult tickets.
As per given, we have
C+A=180 (i)
7C+13A=1830 (ii)
Multiply 7 to both sides of equation (ii), we get
7C+7A=1260 (iii)
Eliminate (iii) from (ii) , we get

Put value of y in (i), we get
C= 85
Hence, the number of child tickets is 85 and the number of adult tickets is 95.
Answer:
c. 19
Step-by-step explanation:
This model is describing a function. You put in a number for x, in this case, the input of 7 on the side. You solve the equation with that x-value to get a y-value/output.
x=7
y=3x-2
y=3(7)-2
y=21-2
y=19
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
Answer:
<em>(1, - 2) </em>
Step-by-step explanation:
2x - y = 4
3x + y = 1
A =
= 2(1) - 3( - 1) =2 + 3 = 5
=
= 4(1) - 1(- 1) = 4 + 1 = 5
=
= 2(1) - 4(3) = 2 - 12 = - 10
<em>x </em>=
=<em> 1</em>
<em>y </em>=
= <em>- 2</em>
<em>(1, - 2)</em>
Answer:
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Step-by-step explanation:
wish you luck