Answer: Four hours.
Step-by-step explanation:
$321.04 - $200.84 = $120.20
$120.20 / $30.05 = 4. 4 Hours.
Answer: C 4
Step-by-step explanation:
Use the formula: distance = rate x time
We can say that train 1 travels a distance of x, and train 2 travels a distance of 700 - x
The rate of train 1 is 75 mph, and the rate of train 2 is 100 mph
The time traveled for the two trains will be the same. We can represent that with the variable t.
We have the following equation for train 1:
x = 75t
For train 2, we have this equation:
700 - x = 100t
Use the Substitution Method by replacing x in the equation for train 2 with the value 75t.
700 - 75t = 100t
700 = 175t
700/175 = 4 hours.
It will take 4 hours for the two trains to meet.
<span>(8.23 x 10^9) (9.1 x 10^9)
(</span>8.23 * 9.1) (10^9 * 10^9)
74.893 * 10^18
7.4893 * 10^19
7.4893 e19
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{4}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B4%7D%7B2%7D)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
x = 4, y = 9
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{9}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
![k = 2.25](https://tex.z-dn.net/?f=k%20%3D%202.25)
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{4}{3}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B4%7D%7B3%7D)
![k = 1.33](https://tex.z-dn.net/?f=k%20%3D%201.33)
x = 9, y = 16
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{16}{9}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B16%7D%7B9%7D)
![k = 1.78](https://tex.z-dn.net/?f=k%20%3D%201.78)
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{12}{4}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B12%7D%7B4%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
x = 5, y = 15
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{15}{5}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B15%7D%7B5%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
x = 6, y = 18
![k = \frac{y}{x}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7By%7D%7Bx%7D)
![k = \frac{18}{6}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B18%7D%7B6%7D)
![k = 3](https://tex.z-dn.net/?f=k%20%3D%203)
This shows a proportional relationship because all values of k are the same for this table