About 5 hours. I did this by dividing and rounding 276 by 62. Hope this helps!
Answer:
Number of students in vans =15 and bus =46
Step-by-step explanation:
use variables for the vans and buses
let x= vans and y=buses
Now solve the 2 equations simultaneously
<em><u>remember</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>your</u></em><em><u> </u></em><em><u>equations</u></em>
6x+7y=412..........1
6x+9y=504.........2
make x the subject of one equation
and label it equation 3
6x=412—7y
![x = \frac{206}{3} - \frac{7y}{6} .............3](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B206%7D%7B3%7D%20%20-%20%20%5Cfrac%7B7y%7D%7B6%7D%20.............3)
subs 3 into 2
![6( \frac{206}{3} - \frac{7y}{6} ) + 9y = 504](https://tex.z-dn.net/?f=6%28%20%5Cfrac%7B206%7D%7B3%7D%20%20-%20%20%5Cfrac%7B7y%7D%7B6%7D%20%29%20%2B%209y%20%3D%20504)
![412 - 7y + 9y = 504](https://tex.z-dn.net/?f=412%20-%207y%20%2B%209y%20%3D%20504)
![- 7y + 9y = 504 - 412](https://tex.z-dn.net/?f=%20-%207y%20%2B%209y%20%3D%20504%20-%20412)
![2y = 92](https://tex.z-dn.net/?f=2y%20%3D%2092)
![y = 46...................4](https://tex.z-dn.net/?f=y%20%3D%2046...................4)
subs 4 into 1
![6x + 7(46) = 412](https://tex.z-dn.net/?f=6x%20%2B%207%2846%29%20%3D%20412)
![6x + 322 = 412](https://tex.z-dn.net/?f=6x%20%2B%20322%20%3D%20412)
![6x = 412 - 322](https://tex.z-dn.net/?f=6x%20%3D%20412%20-%20322)
![6x = 90](https://tex.z-dn.net/?f=6x%20%3D%2090)
![x = 15](https://tex.z-dn.net/?f=x%20%3D%2015)
Therefore there are 15 students in each van and 46 students in each bus.
Answer:
A
Step-by-step explanation:
I believe the answer is 7920 feet.
I haven't got a calculator right now but substitute the values into the cosine law so:
8² = 5² + c² - (2 x 5 x c x cos58)
and then use sine law to find B
sin58/8 = sinB/5