Answer:
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Let
x = number of tickets sold for $26
y = number of tickets sold for $40
x + y = 6000
x = 6000 - y
$26 × x + $40 × y= $185, 400
26x + 40y = 185400
Substitute
26(6000 - y) + 40y = 185400
156000 - 26y + 40y = 185400
Collect like terms
- 26y + 40y = 185400 - 156000
14y = 29400
y = 29400/14
y = 2100 tickets
x = 6000 - y
x = 6000 - 2100
x = 3900 tickets
Hence
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
<span>153 = 153 ones
...................</span>
9x + 3 = 7x +19
2x + 3 = 19
2x = 16
x = 8
So, x (8) is the number of chairs in each row with these setups.
Plug 8 into one of the equations and you will find how many chairs total there are.
9(8) + 3 = 75
There are 75 chairs total
Answer:
d ≈ 10.5
Step-by-step explanation:
The formula for the diagonal of a retangular prism (cuboid) is

1.) Plug in all the values for l, w, and h

2.) simplify by squaring the terms inside the square root
5 * 5 = 25
6 * 6 = 36
7 * 7 = 49

3.) Add the terms

4.) Simplify

5.) Round to one decimal place
d ≈ 10.5
Answer:
90
Step-by-step explanation:
1/2x10x3.6=18
18x5=90