Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
X+6 less than or equal to 10
X+14 greater than or equal to 18
Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that
and
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:


The linear speed in which Darlene is traveling is 24.74 miles per hour.
100 = 40 + 3x
Subtract 40 from each side
60 = 3x
Divide each side by 3
20 = x
The highest price of a sweatshirt can be $20
100 = 40 + 3(20)