I need help plz i'm confused!!!<br> i'll give brainiest to the right answer

A 6000-seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performa

Lena [83]

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of $174,000, then;

25x + 40y = 174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = 174,000.

25(6000-y) + 40y = 174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

<em>Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000</em>

4 0

3 years ago

A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying

sineoko [7]

Answer with explanation:

Let p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38% of adults have heard of the new electronic reader.

i.e. $p=0.38$

Then , the set of hypothesis will be :-

$H_0: p=0.38\\\\H_a:p\neq0.38$

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : $n=1558$

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : $\hat{p}=\dfrac{522}{1558}\approx0.34$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25$

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value = $=0.0011541$

6 0

3 years ago

12. What value of c would make x = 4 in the<br> equation 5 + cx = 13 ?

Pavel [41]

Plug in 4 for x and solve equation like so. c=2

4 0

3 years ago

Enter a fraction that is equivalent to 1/5 with a numerator of 8.

photoshop1234 [79]

Answer:

lol imagine

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 7 × 0.057 equal

Daniel [21]

Answer:

0.399

Step-by-step explanation:

3 4

0.057

x 7

_________

0.399

3 0

3 years ago

Read 2 more answers

I need help plz i'm confused!!! i'll give brainiest to the right answer