Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees. Claire doesn't have a membership, so she pays 8.25 for each movie she sees. How many movies would they have to see in a year in order to pay the same amount?
Answers
Answer:
12 movies
Step-by-step explanation:
Let the number of movies they see be represented by x
Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees.
$27 + $6 × x
= 27 + 6x
Claire doesn't have a membership, so she pays 8.25 for each movie she sees.
= $8.25 × x
= 8.25x
How many movies would they have to see in a year in order to pay the same amount?
Jaycie = Claire
27 + 6x = 8.25x
27 = 8.25x - 6x
27 = 2.25x
x = 27/2.25
x = 12 movies
Therefore, they have to see 12 movies in a year in order to pay the same amount.
Related Questions
Variable g is 5 more than variable w. Variable g is also 2 less than w. Which pair of equations best models the relationship between g and w?g = w + 5 g = w − 2 g = w − 5 g = w + 2 w = 5g w = g − 2 w = 5g w = g + 2
6y = 3x -9 6x-2y=14 How many solutions does the linear system have? A) Infinite B) None C) One D) Two
How to you get the mean in math
(6z 2 - 4z + 1)(8 - 3z).
b)0.35
c)0.48
d)0.73
Answers
0.35 = 0.48 * P2
0.35/0.48 = P2
P2 = 0.7291666...,
d)0.73 is correct
Answers
Answer:
The article will cost altogether:
$ 42.75
Step-by-step explanation:
It is given that:
The retail price of the article is: $ 37.50.
Also, the article will hold a city tax of 6% and a federal excise tax of 8%.
Hence, the total percent tax on article is: 6+8=14%
This means that the cost price of the article is:
Retail Price of article+14% of retail price.
= 37.50+14% of 37.50
= 37.50+0.14×37.50
= 37.50+5.25
= 42.75
Hence, the article will cost: $ 42.75
14/100 = .14
Then for both rates you must add 1 because it is a tax increase.
1 + .14 = 1.14
Finally times 37.50 with 1.14
37.50(1.14) = 42.75
$42.75 is the answer.
Answers
Following are the calculation to the given points:
Using central limit theorem:
For point a)
Within population mean:
For point b)
Within population mean:
[tex]\to P(\mu-17<\bar{x}<\mu+17)=P\left ( \frac{\mu-17-\mu}{6.261}
Learn more:
Final answer:
To find the probability that the sample mean will be within a certain range, we need to calculate the z-scores and look them up in the z-table.
Explanation:
To find the probability that the sample mean will be within +/- 8 of the population mean, we need to convert this range to z-scores. The z-score formula is calculated by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.
For +/- 8, the z-score will be (8 - 0) / (70 / sqrt(125)) = 2.09.
Using the z-table, we can find the probability associated with a z-score of 2.09, which is approximately 0.9828. Therefore, the probability that the sample mean will be within +/- 8 of the population mean is 0.9828.
Similarly, for +/- 17, the z-score will be (17 - 0) / (70 / sqrt(125)) = 4.18. Using the z-table, the probability associated with a z-score of 4.18 is nearly 1.0000. Hence, the probability that the sample mean will be within +/- 17 of the population mean is 1.0000.
Learn more about Probability here:
#SPJ3
Answers
7 4/6
- 2 3/6
_________
5 1/6
Answers
Answer: 30 x 10,283= 308,490
Step-by-step explanation: 30 multiplied by 10,283 equals 308,490
Answers
Answer:
231 miles
Step-by-step explanation: