Answer: 321 adult tickets and 227 children tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of children tickets that were sold.
The total number of tickets that the theatre sold is 548. This means that
x + y = 548
Adult tickets sell for $6.50 each, and children's tickets sell for $3.50 each. The total ticket sales was $2881. This means that
6.5x + 3.5y = 2881 - - - - - - - - - - -1
Substituting x = 548 - y into equation 1, it becomes
6.5(548 - y) + 3.5y = 2881
3562 - 6.5y + 3.5y = 2881
- 6.5y + 3.5y = 2881 - 3562
- 3y = - 681
y = - 681/ -3
y = 227
x = 548 - y = 548 - 227
x = 321
90 + 50 = 140
140 - 7 = 133
130 - 140
Answer: D) 3x - 5
Step-by-step explanation:
f(x) - g(x)
f(x) = 1/2x - 3
g(x) = -5/2x + 2
Using the values of f(x) and g(x) gives us the equation:
1/2x - 3 - (-5/2x +2)
By distributing the negative sign, the signs on 5/2 and 2 are flipped, making them positive and negative respectively.
Our new equation is:
1/2x -3 + 5/2x -2
Adding up like numbers gives us:
6/2x - 5
Simplifying 6/2x => 3x
So our final equation is:
3x - 5
Hope this helps!
Answer:
C
Step-by-step explanation:
Perpendicular lines have slopes which are the negative reciprocal of each other. To find the slope, convert 3x-5y=8 into y=mx+b form.
3x-5y=8
-5y = -3x +8
y = 3/5 x - 8/5
The slope is 3/5 so its perpendicular slope is -5/3. Write the equation of this line through the point (3,7) using point slope form. Then simplify into y=mx+b form.
