If anyone can help me with this geometry homework i will give you 80 dollars like fr on everything NO LINKKSS!!

A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performa

ss7ja [257]

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

5 0

2 years ago

Northridge Middle School collected 5022 cans of food for a food drive. Each of 18 homerooms collected the same number of cans. A

taurus [48]

Answer:

Step-by-step explanation:

Divide the total number of cans (5022) by the number of homerooms (18) to get the number of cans collected by each homeroom:

5022 cans

---------------------- = 279 cans per homeroom

18 homerooms

5 0

3 years ago

You deposit $3000 in a savings account that earns 2.9% annual interest compounded monthly. You also save $80 per month in a safe

Jlenok [28]

Answer:

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be : 4048.17

Step-by-step explanation:

3000 deposit amount, 2.9 compound monthly interest . save 80 dollars per month at home .

A=p(1+r)^t

A=3000(1+0.029/12)^12t

A=3000(1.002417)^12t dollars

for the amount saved at home=80*12t=960t dollars

C(t)=3000(1.002417)^12t+960t

if T=1 year then the saving will be :

C(t)=3000(1.002417)^12t+960t

=3088.17+960= 4048.17 dollars

7 0

2 years ago

Could somebody please help me with this?

BARSIC [14]

For this problem, we are going to use the Remainder Theorem. This says that for $x - n$ to be a factor of a polynomial $p(x)$ , then $p(n) = 0$ . Essentially, it says that $x - n$ is a factor if when you substitute $n$ into the polynomial you get a result of 0.

Thus, in our case, when we substitute $x = 2$ into the polynomial, we should get an answer of 0 if $x - 2$ is a factor of the polynomial. Given this information, we can solve for $c$ :

$p(2) = 2^3 - 4(2^2) + 2c + 2 = 0$

$8 - 16 + 2c + 2 = 0$

$2c - 6 = 0$

$2c = 6$

$c = 3$

The solution is c = 3.

7 0

2 years ago

Read 2 more answers

A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2 - y2 = 20. the process is repeated

malfutka [58]

Answer:
The ship is located at (3,5)

Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III

Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II

To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.

Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9

We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3

Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5

Based on the above, the position of the ship is (3,5).

Hope this helps :)

7 0

3 years ago