There was 3000 general admission tickets sold and 500 kid ticket sold.
How did I get this?
First, we need to see what information we have.
$2.50 = General admission tickets = (G)
$0.50 = kids tickets = (K)
There were 6x as many general admission tickets sold as kids. G = 6K
We need two equations:
G = 6K
$2.50G + $.50K = $7750
Since, G = 6K we can substitute that into the 2nd equation.
2.50(6K) + .50K = 7750
Distribute 2.50 into the parenthesis
15K + .50K = 7750
combine like terms
15.50K = 7750
Divide both sides by 15.50, the left side will cancel out.
K = 7750/15.50
K = 500 tickets
So, 500 kid tickets were sold.
Plug K into our first equation (G = 6k)
G = 6*500
G = 3000 tickets
So, 3000 general admission tickets were sold,
Let's check this:
$2.50(3000 tickets) = $7500 (cost of general admission tickets)
$.50(500 tickets) = $250 (cost of general admission tickets)
$7500 + $250 = $7750 (total cost of tickets)
Answer:
Option D. 1.29x + 1.35y ≤ 12
Step-by-step explanation:
Nick is making a fruit salad.
He buys apples per pound for = $1.29
He buys oranges per pound for = $1.35
He spend no more than $12.00 or we can say less than equal to $12
Let x represent the number of pounds of apples that Nick buys and y represent the number of pounds of oranges.
Cost of x pounds of apples = $1.29x
Cost of y pounds of oranges = $1.35y
Total cost = 1.29x + 1.35y
Total cost should be less than equal to $12.00
Therefore, inequality will be 1.29x + 1.35y ≤ 12
Option D. is the answer.
Since it's 3 people splitting 10 oz, we get:

Which can then be simplified to a mixed fraction:

So, yes, you got it right! Good job!
Answer: The shortest is 22.4 feet
Step-by-step explanation: For the gecko to walk the shortest distance, it has to go straight from where it is to the celling, diagonally from the celling to the wall where the fly is and straight from the corner of the celling to where the fly is.
straight from where it is to the celling: 1 feet
diagonally from the celling to the wall where the fly:
it is a right triangle hipotenuse what we want, leg 12 and 8. (see picture attached): h² = 12² + 8² h = √208 h = 14.4 feet
straight from the corner of the celling to where the fly is: 7 feet.
1 + 14.4 + 7 = 22.4