Answer:
70
Step-by-step explanation:
= First term = 
= Common difference = 
= Number of terms = 20
Sum of arithmetic progression is given by
![S=\dfrac{n}{2}[2a_1+(n-1)d]\\\Rightarrow S=\dfrac{20}{2}\times (2\times \dfrac{1}{3}+(20-1)\dfrac{1}{3})\\\Rightarrow S=70](https://tex.z-dn.net/?f=S%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a_1%2B%28n-1%29d%5D%5C%5C%5CRightarrow%20S%3D%5Cdfrac%7B20%7D%7B2%7D%5Ctimes%20%282%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%2B%2820-1%29%5Cdfrac%7B1%7D%7B3%7D%29%5C%5C%5CRightarrow%20S%3D70)
The sum of the first 20 terms of the arithmetic sequence is 70.
Answer:
M<1 = 106
M<2 = 74
M<3 = 106
M<4 = 74
M<5 = 106
M<6 = 74
M<7 = 106
M<8 = 74
Step-by-step explanation:
Answer: 11/18
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Explanation:
We need to add the fractions, but first we need to get each fraction to have the LCD (lowest common denominator) of 18
18 is the LCM of the denominators 6 and 9
The fraction 1/6 turns into 3/18 when multiplying top and bottom by 3
The fraction 4/9 turns into 8/18 after multiplying top and bottom by 2
Therefore,
(1/6) + (4/9) = (3/18) + (8/18) = (3+8)/18 = 11/18
So Mike has a total of 11/18 of a gallon of paint when combining the two given amounts 1/6 a gallon of blue paint and 4/9 of a gallon of green paint.
Answer:(2,2) I don’t know
Step-by-step explanation:
