Let’s choose the first one, and do the proportions.
x/30 = 90/100
Cross multiply and you have
100x = (30)(90)
100x = 2700
x = 27
And the fourth one: multiply by the decimal equivalent of the percent.
90% = 90/100 = 0.9
0.9 x 30 = 27
You chose these because your “online tutor” finds them easiest to explain XD
Answer:
To find the "nth" term of an arithmetic sequence, start with the first term, a(1). Add to that the product of "n-1" and "d" (the difference between any two consecutive terms). For example, take the arithmetic sequence 3, 9, 15, 21, 27.... a(1) = 3. d = 6 (because the difference between consecutive terms is always 6.
Step-by-step explanation:
Answer:
1 out of 9
Step-by-step explanation:
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 .
