First, lets set up the equation.
0.25x + (1/8)x + 24 = 60
The variable x will be equal to the total amount of the paycheck. We used 0.25 of the paycheck on the first item bought, 1/8 on the second item bought, and then 24 more dollars. After assembling the equation, we merely need to solve for x to find the value of the paycheck. I'll be converting 1/8 to 0.125 at this point for simplisity's sake.
Subtract 24 from both sides.
0.25x + 0.125x = 36
Combine like terms on the left side.
0.375x = 36
Divide both sides by 0.375.
x = 96
The total is A, 96 dollars.
Answer:
74
Step-by-step explanation:
Answer:
The boat is approaching the dock at rate of 2.14 ft/s
Step-by-step explanation:
The situation given in the question can be modeled as a triangle, please refer to the attached diagram.
A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.
The length of rope from bow to pulley is 13 feet that means y = 13 ft.
We know that Pythagorean theorem is given by

Differentiating the above equation with respect to time yields,


dx/dt = 0 since dock height doesn't change


The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s
First we need to find z
z² = (5)² + (13)²
z² = 194
z = √194
z = 13.93 ft
So,



Therefore, the boat is approaching the dock at rate of 2.14 ft/s
Answer:
q/9
Step-by-step explanation:
The quotient is an number or variable that is the product of division. My answer may be reversed or wrong, but it should be close to the correct one.