Simplified: -6m-6
Factored: 6(m+1)
Answer: 2 hours
Step-by-step explanation:
Given : Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively.
Let t be the time taken by both of them working together.
Then, according to the question, we have
![\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{2+1}{6}\ \ [\because\ L.C.M. (3,6)=6]\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{6}=\dfrac{1}{2}\\\\\Rightarrow t=2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B2%2B1%7D%7B6%7D%5C%20%5C%20%5B%5Cbecause%5C%20L.C.M.%20%283%2C6%29%3D6%5D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20t%3D2)
Hence, it will take 2 hours by the two machines .
Answer:
the answer is 3/100
Step-by-step explanation:
the probability=
pr(blue)*pr(black)
=3/10*1/10
=3/100
hope this helps
please give brainest
Answer:
15 and s would be rational
Step-by-step explanation:
If you solve it from the equation you have given above s = √15d, you will replace the d with 15. Multiplying 15 by 15 is the same thing as squaring 15, so basically they are cancelling each other out. And if you put all of that together s=15 from you formula.
Answer:
The rule could cost 24 cents at most.
Step-by-step explanation:
Let x cents be the price of the ruler.
Alice is 22 cents short, so Alice has x - 22 cents.
Betty is 3 cents short, so Betty has x - 3 cents.
When they combine their money they have
x - 22 + x - 3 = 2x - 25 cents.
This amount is still not enough, so

Solve this inequality:

The rule could cost 24 cents at most.