Answer:
5 tasks = 2/3 hour.
1 task = 2/3 hour /5 = 2/15 hour.
How many tasks can the robot complete in one hour?
1 hour / (2/15 hour/task) = 15/2 tasks = 7.5 tasks.
m + 4mn – 9m1n + nm6 + 5 is a exprsssion with four terms
Answer:
6 inches.
Step-by-step explanation:
Let a represent side length of larger square.
We know that area of square is square of its side length, so area of the larger square will be
.
The area of smaller square would be
.
We will use proportions to solve our given problem.
![\frac{\text{Area of smaller square}}{\text{Area of larger square}}=\frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BArea%20of%20smaller%20square%7D%7D%7B%5Ctext%7BArea%20of%20larger%20square%7D%7D%3D%5Cfrac%7B4%7D%7B9%7D)
![\frac{4^2}{a^2}=\frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5E2%7D%7Ba%5E2%7D%3D%5Cfrac%7B4%7D%7B9%7D)
![\frac{16}{a^2}=\frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Ba%5E2%7D%3D%5Cfrac%7B4%7D%7B9%7D)
Cross multiply:
![4*a^2=16*9](https://tex.z-dn.net/?f=4%2Aa%5E2%3D16%2A9)
![\frac{4*a^2}{4}=\frac{16*9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%2Aa%5E2%7D%7B4%7D%3D%5Cfrac%7B16%2A9%7D%7B4%7D)
![a^2=36](https://tex.z-dn.net/?f=a%5E2%3D36)
Take square root:
![a=\pm\sqrt{36}](https://tex.z-dn.net/?f=a%3D%5Cpm%5Csqrt%7B36%7D)
![a=\pm 6](https://tex.z-dn.net/?f=a%3D%5Cpm%206)
Since the length cannot be negative, therefore, the side length of larger square is 6 inches.
Answer:
1,520,000 liters of water
Step-by-step explanation:
4x10^4= 40000. 38x40000=1,520,000
1.52x10^6