Answer:
edge of cube = root 13.5/6 = 1.5
volume of cube = (Edge of cube)^3= (1.5)^3 = 3.37500 m^3
Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is

Solving the equation we get,








Neglecting n=-3
So, n=4
Then Alan's speed in m/min is



Brian completes 3 laps in that 9-minute time, so his rate is


Therefore, Alan: 200 m/min
Brian: 150 m/min
Answer:
37, 49
Step-by-step explanation:
Divide 74 by two to get the first x. 74 / 2 = 37
Subtract 77 from 126 to get the second x. 126 - 77 = 49
Hey!
To solve x in this equation we must first add five to both sides to get

on its own.
<em>Original Equation :</em>

<em>New Equation {Added 5 to Both Sides} :</em>

Now we must square both sides of the equation.
<em>Old Equation :</em>

<em>New Equation {Changed by Squaring Both Sides} :</em>

And now we must solve the new equation.
Step 1 - Switch sides

Step 2 - Subtract x from both sides

Step 3 - Simplify

Now we need to solve the rest of the equation using the quadratic formula.






9

4
<em>So, this means that in the equation

,</em>
x = 9 <em>and </em>
x = 4.Hope this helps!
- Lindsey Frazier ♥