Answer:
120 minutes=2 hours
Step-by-step explanation:
5 1/2 hours multiplied by 60=330
330 subtracted by 210=120 minutes=2 hours
Answer:Relax the night before
Step-by-step explanation:
studies show the more calm you are during a test the higher chance you'll get a passing grade
Answer:
2995
Step-by-step explanation:
Convert the problem to an equation using the percentage formula: P% * X = Y.
P is 10%, X is 150, so the equation is 10% * 150 = Y.
Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10.
1000* 5.99% * 50
Answer:
a) see below
b) 40x20 meters
Step-by-step explanation:
Write down what you know:
- The area of the enclosure is length*width, so
![A = x \cdot y](https://tex.z-dn.net/?f=A%20%3D%20x%20%5Ccdot%20y)
- The length of the fencing is 80 meters, so
![2y + x = 80](https://tex.z-dn.net/?f=2y%20%2B%20x%20%3D%2080)
Now we have to combine these two equations above, and get rid of y in the process.
First rewrite the second as:
![y = 40 - \frac12 x](https://tex.z-dn.net/?f=y%20%3D%2040%20-%20%5Cfrac12%20x)
Then substitute for y in the first:
![A = x (40 - \frac12 x) = 40x - \frac12x^2](https://tex.z-dn.net/?f=A%20%3D%20x%20%2840%20-%20%5Cfrac12%20x%29%20%3D%2040x%20-%20%5Cfrac12x%5E2)
b) To maximize A, find the zero of the first derivative:
![A'(x) = 40 - x = 0 \implies x=40](https://tex.z-dn.net/?f=A%27%28x%29%20%3D%2040%20-%20x%20%3D%200%20%5Cimplies%20x%3D40)
So y = (80-40)/2 = 20 meters.
Answer:
0.45
Step-by-step explanation:
Since the percent to pull a ball with a 2 is 30% and the percent to pull a ball with a 4 is 15%, that means that the chance of pulling a ball with an even number is 0.45, or 45%. (0.30+0.15=0.45)