Answer:
Step-by-step explanation:
<u>We have similar triangles here.</u>
- BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC
<u>The ratio of corresponding sides of similar triangles is same:</u>
- BC/DE = AC/AE
- BC / 2 = 30/3
- BC / 2 = 10
- BC = 2*10
- BC = 20 m
Katie has enough bricks because it only takes 12,948 bricks to build the wall. To get 12,948, you will multiply 332 by 39. So basically you are multiplying the width by how tall it is.
Answer: 48 sold-out performances must be played in order for you to break even.
Step-by-step explanation:
Let x represent the number of sold-out performances must be played in order for you to break even.
You invest in a new play. The cost includes an overhead of $30,000, plus production costs of $2500 per performance. This means that the total cost of x sold out performances would be
2500x + 30000
A sold-out performance brings you $3125. This means that he total revenue from x sold out performances would be
3125x
To break even, cost = revenue
Therefore,
2500x + 30000 = 3125x
3125x - 2500x = 30000
625x = 30000
x = 30000/625
x = 48
Given the information, you can only write an expression and simplify it:
6(3(x+24))
6(3x+72)
SOlution: 18x+432
I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!
Answer: 
Step-by-step explanation:
Confidence interval for population mean is given by :-
(1)
, where 
= Sample mean
= Critical z-value
= Population standard deviation.
n= Sample size.
As per given , we have
n= 610
Significance level for 85% confidence : 
By z-table critical two tailed z-value : 
Put all values in (1) , we get
Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. =
