Answer: 20
Step-by-step explanation:
Given
The cost of an individual ticket is $25
The cost of a couple's ticket is $40
The total sale is $2500
total ticket sold is 70
Suppose there are x individuals and y couples
So, they sold 20 tickets of the individual.
Answer:
Answer is (√1500) /(2√15 )= 5
Step-by-step explanation:
Answer:
the answer is 9/2 therfore im just trying to get more words in
(a) x = 4
First, let's calculate the area of the path as a function of x. You have two paths, one of them is 8 ft long by x ft wide, the other is 16 ft long by x ft wide. Let's express that as an equation to start with.
A = 8x + 16x
A = 24x
But the two paths overlap, so the actual area covered will smaller. The area of overlap is a square that's x ft by x ft. And the above equation counts that area twice. So let's modify the equation by subtracting x^2. So:
A = 24x - x^2
Now since we want to cover 80 square feet, let's set A to 80. 80 = 24x - x^2
Finally, let's make this into a regular quadratic equation and find the roots.
80 = 24x - x^2
0 = 24x - x^2 - 80
-x^2 + 24x - 80 = 0
Using the quadratic formula, you can easily determine the roots to be x = 4, or x = 20.
Of those two possible solutions, only the x=4 value is reasonable for the desired objective.
(b) There were 2 possible roots, being 4 and 20. Both of those values, when substituted into the formula 24x - x^2, return a value of 80. But the idea of a path being 20 feet wide is rather silly given the constraints of the plot of land being only 8 ft by 16 ft. So the width of the path has to be less than 8 ft (the length of the smallest dimension of the plot of land). Therefore the value of 4 is the most appropriate.
Answer:
C) x ÷ 11/12
Step-by-step explanation:
If you divide the total length of string by the length of each piece, you get the number of strings.
total length of string: x
length of each piece: 11/2
We need to divide x by 11/12
Answer: C) x ÷ 11/12
