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
Answer:
11 and 6
Step-by-step explanation:
11-6=5 <--- difference
11+6=17 <--- sum
Answer:
1.
Tan 45=√2/n
n=√2
again
sin 45=√2/m
m=2
answer:<u> </u><u>m</u><u>=</u><u>2</u><u>,</u><u>n</u><u>=</u><u>√</u><u>2</u>
<u>2</u><u>.</u>
sin 45=x/3
x=3/√2=3√2/2
y=3√2/2
<u>a</u><u>n</u><u>s</u><u>:</u><u>x</u><u>=</u><u>3√2/2</u><u>,</u><u>y</u><u>=</u><u>3√2/</u><u>3</u>
<u>3</u><u>.</u>
sin 45=a/4
a=4/√2
b=4/√2
ans:<u>a</u><u>=</u><u>4</u><u>/</u><u>√</u><u>2</u><u>,</u><u>b</u><u>=</u><u>4</u><u>/</u><u>√</u><u>2</u>
4.
b=4 base sides of isosceles triangle
sin 45=4/a
a=4√2
ans:<u>a</u><u>=</u><u>4</u><u>√</u><u>2</u><u> </u><u>and</u><u> </u><u>b</u><u>=</u><u>4</u>
Answer:
The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.
Step-by-step explanation:
The ball will hit the ground when its height is equal to 0 meters, therefore using this value in the expression and solving for "t" will give us the correct solutions.

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.
Answer:
6
Step-by-step explanation:
60/6 = 10
6/6 = 1