Answer:
46800
Step-by-step explanation:
10x15x24x13=46800
Answer:
![Width = 5x + 1](https://tex.z-dn.net/?f=Width%20%3D%205x%20%2B%201)
Step-by-step explanation:
Given
![Area = 10x^2 + 5x](https://tex.z-dn.net/?f=Area%20%3D%2010x%5E2%20%2B%205x)
![Length = 5x](https://tex.z-dn.net/?f=Length%20%3D%205x)
Required (Missing)
Determine the Width?
Area is calculated as:
![Area = Length * Width](https://tex.z-dn.net/?f=Area%20%3D%20Length%20%2A%20Width)
Substitute values for Area and Length
![10x^2 + 5x = 5x * Width](https://tex.z-dn.net/?f=10x%5E2%20%2B%205x%20%3D%205x%20%2A%20Width)
Factorize the right hand side
![5x(5x + 1) = 5x * Width](https://tex.z-dn.net/?f=5x%285x%20%2B%201%29%20%3D%205x%20%2A%20Width)
Divide both sides by 5x
![5x + 1 = Width](https://tex.z-dn.net/?f=5x%20%2B%201%20%3D%20Width)
<em>Hence, the width of the model is 5x + 1</em>
Answer:
Average speed =
miles per hour
Step-by-step explanation:
Formula to calculate the average speed of an object is,
Average speed = ![\frac{\text{Total distance covered}}{\text{Time taken to cover this distance}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BTotal%20distance%20covered%7D%7D%7B%5Ctext%7BTime%20taken%20to%20cover%20this%20distance%7D%7D)
If I travel with the speed of x mph for t hours,
Total distance covered = Speed × Time
=
=
miles
Similarly, if I travel with the speed y mph for t hours,
Total distance covered =
miles
Total distance covered by me =
miles
Total time taken to cover this distance = ![t+t](https://tex.z-dn.net/?f=t%2Bt)
=
hours
Therefore, expression for the average speed will be,
Average speed = ![\frac{xt+yt}{2t}](https://tex.z-dn.net/?f=%5Cfrac%7Bxt%2Byt%7D%7B2t%7D)
= ![\frac{(x+y)t}{2t}](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2By%29t%7D%7B2t%7D)
=
miles per hour