Answer:
7.5 hours
Step-by-step explanation:
Using the variable 't' for time, you can set up an equation to find out how long it will take the truck to catch up to the bus. Since the bus is traveling at 60mph and the truck is traveling 1 2/3 times faster, we need to first find the rate of the truck:
1![\frac{2}{3}=\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B5%7D%7B3%7D)
![\frac{60}{1}*\frac{5}{3}=\frac{300}{3}=100mph](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B1%7D%2A%5Cfrac%7B5%7D%7B3%7D%3D%5Cfrac%7B300%7D%7B3%7D%3D100mph)
Using 't' and the knowledge that they will have traveled the same distance we the truck catches up to the bus and the fact that the truck left 3 hours later:
60t = 100(t - 3) or 60t = 100t - 300
Solve for 't': 60t - 100t = -300 or -40t = -300 so, t = 7.5 hours
Answer:
x = -4 and -2x - 8
Step-by-step explanation:
<u>Step 1: Distribute</u>
-1/3(6x + 15) - 3
-6/3x - 15/3 - 3
-2x - 5 - 3
-2x - 8
<u>Step 2: IF NEEDED SOLVE FOR X</u>
-2x - 8 + 8 = 0 + 8
-2x / -2 = 8 / -2
x = -4
Answer: x = -4 and -2x - 8
And we are given that
and want to find the value of x. Set f(x) to 16 and we get the equation:
![2x+4=16](https://tex.z-dn.net/?f=2x%2B4%3D16)
Subtract both sides by 4
![2x=12](https://tex.z-dn.net/?f=2x%3D12)
Divide both sides by 2
![x=6](https://tex.z-dn.net/?f=x%3D6)
This is the answer. Let me know if you need any clarifications, thanks!
Answer:
y=-1 : )
Step-by-step explanation:
(Brainliest Please)
x should equal -2 and y should equal -3 to solve this i multiplied the first equation by 2 then got rid of the 4y and -4y then i added the 14x to the 9 equaling 23x and added the -40 to the -6 which became 23x=-46 i solved this getting -s for x, then i plugged that into the equations to get y which was -3