Answer: The speed of the truck is 30 mph.
The speed of the car is 50 mph.
Step-by-step explanation:
Let x represent the speed of the car. If the trucks rate is 20 miles per hour slower than the car's, it means that the speed of the truck is
(x - 20) miles per hour.
Time = distance/speed
The truck can travel 210 miles in the same time it takes the car to travel 350 miles. It means that the time it would take the truck to travel 210 miles is
210/(x - 20)
Also, the time it would take the car to travel 350 miles is
350/x
Since the time is the same, it means that
210/(x - 20) = 350/x
Cross multiplying, it becomes
350(x - 20) = 210x
350x - 7000 = 210x
350x - 210x = 7000
140x = 7000
x = 7000/140
x = 50
The speed of the truck is
x - 20 = 50 - 20 = 30 mph
Answer:
6 games.
Step-by-step explanation:
Given that,
Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00
Another store has no membership fee, but that store charges $2.00 to rent a game.
Let there be n games needed to be rented each month for the total fees to be the same from either store.
Cost of first store = $7.50+$1.00n
Cost of another store = $2.00
If cost equals,
$7.50+$1.00n=$2
n=5.5
6
Hence, 6 games needed to be rented each month.
A point has a positive x and y coordinate- answer is Quadrant I
Answer:
Step-by-step explanation:
Answer:
504
Step-by-step explanation:
Using the definition
n
= 
where n! = n(n - 1)(n - 2).... × 3 × 2 × 1
Thus
9
=
← cancel the terms of 6! on numerator/denominator, leaving
= 9 × 8 × 7 = 504