Let x = miles traveled by car
Let y = miles traveled by truck.
Because the total distance is 305 miles,
x + y = 305 (1)
Let t = hours of travel by truck. Because the truck speed is 55 mph,
55*t = y
or
t = y/55 (2)
The car has an hour head start, therefore it travels for (t + 1) hours.
Because the car travels at 65 mph,
65*(t + 1) = x
Substitute (2) to obtain
65*(y/55 + 1) = x
or
1.1818y + 65 = x (3)
From (1), obtain
1.1818y + 65 = 305 - y
2.1818y = 240
y = 110
x = 305 - y = 195
From (2),
t = 110/55 = 2 hours
The two vehicles pass each other at 2:00 pm + 2 hours = 4:00 pm
Answer: 4:00 pm
The ratio of girls to boys. There will be 18 girls
Answer:
12+2x
Step-by-step explanation:
2(10)+2(x-4) Remember Distributed Property so...
2(10)+2x-8 times everything on the right side of the equation by 2
then work the left side
20+2x-8 becomes
20-8+2x becomes
12+2x now if you need to solve for x take 12/2 and that gives you x=6
Hope this helps!
I dont remember the saying for it or term but its y^2-4y-12 which changes to (y-6)(y+2)
