Answer:
Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.
Step-by-step explanation:
Jamal's speed is of x mph.
Diego's speed is of (x + 7) mph.
Opposite directions.
This means that each hour, they will be x + x + 7 = 2x + 7 miles apart.
After 4 hours they are 68 miles apart, how fast is each traveling?
Using a rule of three.
1 hour - 2x + 7 miles apart.
4 hours - 68 miles apart.
![4(2x + 7) = 68](https://tex.z-dn.net/?f=4%282x%20%2B%207%29%20%3D%2068)
![8x + 28 = 68](https://tex.z-dn.net/?f=8x%20%2B%2028%20%3D%2068)
![8x = 40](https://tex.z-dn.net/?f=8x%20%3D%2040)
![x = \frac{40}{8}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B40%7D%7B8%7D)
![x = 5](https://tex.z-dn.net/?f=x%20%3D%205)
Jamal travels at a speed of 5 mph and Diego travels at a speed of 12 mph.
Answer:
There are 3478761 ways to select the first 5 numbers
Step-by-step explanation:
As understood from the statement of this problem we assume that it does not matter the order in which the first 5 white balls are selected.
In this case it is a combination.
So, what we want to know is how many ways you can choose 5 white balls out of 55.
Then we use the formula of combinations:
![C(n, x) = \frac{n!}{x! (n-x)!}](https://tex.z-dn.net/?f=C%28n%2C%20x%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%20%28n-x%29%21%7D)
Where you have n elements and choose x from them.
Then we look for:
![C(55, 5) = \frac{55!}{5!(55-5)!}\\\\C(55, 5) = \frac{55!}{5!(50)!}\\\\C(55, 5) = 3478761](https://tex.z-dn.net/?f=C%2855%2C%205%29%20%3D%20%5Cfrac%7B55%21%7D%7B5%21%2855-5%29%21%7D%5C%5C%5C%5CC%2855%2C%205%29%20%3D%20%5Cfrac%7B55%21%7D%7B5%21%2850%29%21%7D%5C%5C%5C%5CC%2855%2C%205%29%20%3D%203478761)
Answer:
<u>132:198:330</u>
Step-by-step explanation:
You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)
Step-by-step explanation:
Fixed Cost = $25 membership fee
Variable Cost = $0.25 per hour of play
Given n is the number of hours played and D is the total cost,
D = Fixed cost + variable cost($0.25 x n hours)
![= 25 + 0.25n](https://tex.z-dn.net/?f=%20%3D%2025%20%2B%200.25n)
The employee discount is 30% off. Here's the process to find this answer:
Calculate the difference between the original price and the discounted price. We're trying to find the percentage of the discount, not the percentage 38.50 is of 55.
55 - 38.5 = 16.5
Multiply the difference by 100 as part of the percentage formula. (is over of is equal to the percentage over one hundred)
16.5 * 100 = 1,650
Divide your result by 55 as the final part of the percentage formula.
1,650 / 55 = 30