Answer:
the cost of 1 full price ticket is $9.5
Step-by-step explanation:
For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a total of $1235 the total sales both types of tickets were $2395
Let x be the number of full price tickets and y be the number of discount tickets
the theater sold 130 full-price ticket for a total of $1235 the total sales
130 full price tickets sold for $1235
the cost of 1 full price ticket is
![\frac{1235}{130}=9.5](https://tex.z-dn.net/?f=%5Cfrac%7B1235%7D%7B130%7D%3D9.5)
the cost of 1 full price ticket is $9.5
Answer:
57
Step-by-step explanation:
Let c represent the number of children ($1.75 each) and a represent the number of adults ( $2.00 each).
We know that there were 340 people total, so c + a = 340. This implies that a = 340 - c
We also know that $1.75 c + $2.00 a = $609.25
By substituting a with 340 -c we have $1.75 c + $2.00 (340 -c) = $609.25
Use the distributive property to obtain $1.75 c + $680 - $2.00 c = $609.25
Subtract $680 from both sides and combine like terms to get - $0.25 c = -
$70.75
Now, divide both sides by -$0.25 to get c = 283, the number of children.
The number of adults is 340 - c or 340 - 283 = 57
Answer:
![1.3\ days](https://tex.z-dn.net/?f=1.3%5C%20days)
Step-by-step explanation:
step 1
Find the units rate of the first glacier
![\frac{75}{3}=25\frac{meters}{day}](https://tex.z-dn.net/?f=%5Cfrac%7B75%7D%7B3%7D%3D25%5Cfrac%7Bmeters%7D%7Bday%7D)
using proportion
![\frac{25}{1}\frac{meters}{day}=\frac{200}{x}\frac{meters}{days}\\ \\x=200/25\\ \\x=8\ days](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B1%7D%5Cfrac%7Bmeters%7D%7Bday%7D%3D%5Cfrac%7B200%7D%7Bx%7D%5Cfrac%7Bmeters%7D%7Bdays%7D%5C%5C%20%5C%5Cx%3D200%2F25%5C%5C%20%5C%5Cx%3D8%5C%20days)
step 2
Find the units rate of the second glacier
![\frac{107.5}{5}=21.5\frac{meters}{day}](https://tex.z-dn.net/?f=%5Cfrac%7B107.5%7D%7B5%7D%3D21.5%5Cfrac%7Bmeters%7D%7Bday%7D)
using proportion
![\frac{21.5}{1}\frac{meters}{day}=\frac{200}{x}\frac{meters}{days}\\ \\x=200/21.5\\ \\x=9.3\ days](https://tex.z-dn.net/?f=%5Cfrac%7B21.5%7D%7B1%7D%5Cfrac%7Bmeters%7D%7Bday%7D%3D%5Cfrac%7B200%7D%7Bx%7D%5Cfrac%7Bmeters%7D%7Bdays%7D%5C%5C%20%5C%5Cx%3D200%2F21.5%5C%5C%20%5C%5Cx%3D9.3%5C%20days)
step 3
Find the difference
![9.3\ days-8\ days=1.3\ days](https://tex.z-dn.net/?f=9.3%5C%20days-8%5C%20days%3D1.3%5C%20days)
In the question, there are certain information's that are of immense importance in regards to finding the answer. The first information is that Jose Rivera had purchased 7 textbooks for his classes at River Run Community College. The price that Jose Rivera had to pay was $208.55. The average cost per textbook needs to be found.
The cost of 7 textbooks purchased by Jose Rivera = 208.55 dollars
Then
The cost of 1 textbook purchased by Jose Rivera = (208.55/7) dollars
= 29.79 dollars
The average cost of a textbook purchased by Jose Rivera rounded to the nearest cent is 29.80 dollars.
Answer:
D) 68°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
z = 39+29
z =68