For this case, the first thing to do is define variables.
We have then:
- <em>x: number of nickels
</em>
- <em>y: number of dimes
</em>
- <em>z: number of quarters
</em>
We write now the system of equations:
Then rewriting the equations we have:
Then, substituting values we have:
Finally:
Answer:
19 nickels
14 dimes
7 quarters
Answer:
3^3 * 7^r has (3 + 1)*(r + 1) = 16 factors.
So r must be 3.
Answer:
6
Step-by-step explanation:
The slope is equivalent to the rise over run. Since the
slope of the bike ramp is ¼, the rise is equivalent to 1 and the run is
equivalent to 4. To get the angle of the bike ramp make with the ground, let us
use the equation tanθ= rise/run.
Therefore, tanθ= ¼.
Θ=tan-1 (1/4)
So the angle of the bike ramp is Θ= 14degrees
