12:15 p.m.
385.25 - 29 = 356.25
356.75/75 = 4.75(equivalent to 4 hours 45 minutes)
7:30 + 4:45 = 12:15 p.m.
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: x=63, y=52, z=48
Step-by-step explanation:
The complete question in english is:
The sum of 3 natural numbers is 163. By subtracting the third number from the sum of the first two numbers, we get 67. By subtracting the first number from the sum of the last 2 numbers, we get 37. Determine the 3 numbers
According to this we have a system with three equations and three unknown values:
(1)
(2)
(3)
Let's begin by isolating
from (1):
(4)
And substitute (4) in (2):
(5)
Isolating
:
(6) We have found the first number
Substituting (6) in (1):
(7)
Adding (7) to (3):

We have the following:

Isolating
:
(8) This is the second number
Substituting (6) and (8) in (1):
(9)
Isolating
:
(10) This is the third number
Answer:
x − 2(5 − 2x) = 10
x − 10 + 4x = 10
Step-by-step explanation:
She subtracted wrong it's suppose to be 3 not 4