Answer:
23 child tickets were sold
Step-by-step explanation:
Using the information given, we can set up an equation to solve for the number of child tickets sold. Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets. Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:
5.20x + 9.70(3x) = 788.90
Simplify 5.20x + 29.1x = 788.90
Combine like terms: 34.3x = 788.90
Divide both sides by 34.3: x = 23 child tickets
A regular hexagon has 6 congruent sides.
The dimension of the rectangle is 8 inches by
inches
<h3>How to determine the length of the rectangle</h3>
Start by calculating the value of x using the following cosine ratio
![\cos(60) = \frac{x}{4}](https://tex.z-dn.net/?f=%5Ccos%2860%29%20%3D%20%5Cfrac%7Bx%7D%7B4%7D)
Make x the subject
![x = 4 * \cos(60)](https://tex.z-dn.net/?f=x%20%3D%204%20%2A%20%5Ccos%2860%29)
Evaluate cos(60)
![x = 4 * 0.5](https://tex.z-dn.net/?f=x%20%3D%204%20%2A%200.5)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
So, the dimension of the rectangle is:
![Length = 2x + 4](https://tex.z-dn.net/?f=Length%20%3D%202x%20%2B%204)
![Width = 2x\sqrt 3](https://tex.z-dn.net/?f=Width%20%3D%202x%5Csqrt%203)
This gives
![Length = 2 * 2 + 4](https://tex.z-dn.net/?f=Length%20%3D%202%20%2A%202%20%2B%204)
![Length = 8](https://tex.z-dn.net/?f=Length%20%3D%208)
![Width = 2 * 2\sqrt 3](https://tex.z-dn.net/?f=Width%20%3D%202%20%2A%202%5Csqrt%203)
![Width = 4\sqrt 3](https://tex.z-dn.net/?f=Width%20%3D%204%5Csqrt%203)
Hence, the dimension of the rectangle is 8 by ![4\sqrt 3](https://tex.z-dn.net/?f=4%5Csqrt%203)
Read more about hexagons at:
brainly.com/question/2264170
Answer:
Step-by-step explanation:
Because 12 is 3 times as large as 4, that means that the distance traveled in this time will be 3 times as large as the distance traveled in 4 minutes. This is 3/4 * 3 = 2.25 miles. The same goes for 20 minutes, only it is 5 times bigger, and therefore the distance traveled is 3/4 * 5 = 3.75 miles. Hope this helps!
Answer:
$0.66
Step-by-step explanation:
Take the total price and divide it by the number of oranges
9.90/15 = 0.66
Answer: I'm sorry but your link isn't valid. I would help you but I can't see the picture.
Step-by-step explanation: