Answer:
(-4,1)
Step-by-step explanation:
you can choose any point on the line
Answer:
19.20 seconds.
Step-by-step explanation:
Given:
She invited 150 friends.
But she only had 5 activities for her friends and her party only lasted 4 hours.
Question asked:
How much time will each friend get on each activity ?
Solution:
First of all convert 4 hours into seconds:-
1 hour = 3600 seconds
4 hours = 3600
4 = 14400 seconds
<u>By unitary method:</u>
150 friends get time in 5 activities = 14400
1 friend get time in 5 activities = 14400
150 = 96 seconds
That means <u>each friend get 96 seconds in all 5 activities.</u>
Each friend get time on each activity = ?
Each friend get time on 5 activities = 96
Each friend get time on 1 activity = 96
5 = 19.20 seconds
Thus, each friend will get 19.20 seconds on each activity.
Answer:
![Ratio = 9 :80](https://tex.z-dn.net/?f=Ratio%20%3D%209%20%3A80)
Step-by-step explanation:
Given
--- Area of smaller rectangle
--- Area of bigger rectangle
Required
Determine the area of the areas.
The ratio is calculated by the dividing the areas of rectangles.
![Ratio = \frac{A_1}{A_2}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7BA_1%7D%7BA_2%7D)
Substitute values for A2 and A1
![Ratio = \frac{18ft^2}{160ft^2}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B18ft%5E2%7D%7B160ft%5E2%7D)
![Ratio = \frac{18}{160}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B18%7D%7B160%7D)
Simplify the fraction
![Ratio = \frac{9}{80}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7B9%7D%7B80%7D)
Represent as ratio
![Ratio = 9 :80](https://tex.z-dn.net/?f=Ratio%20%3D%209%20%3A80)
<em>Hence, the ratio of the rectangles is 1 to 9</em>
Answer:
Melissa will have $4,440.73 on her 16th birthday.
Step-by-step explanation:
Future value ![= 3000 * 1.04^{10} = 4,440.73](https://tex.z-dn.net/?f=%3D%203000%20%2A%201.04%5E%7B10%7D%20%3D%204%2C440.73)
Step-by-step explanation:
Equation: 3.9^2 + x^2 = 11^2
x = 10.29