Answer:
C.
Step-by-step explanation:
Your fractions are missing there fraction bars:
3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)
15y − 6 + 5 = 1/2 y + 5y + 2
15y − 1 = 11/2 y + 2
A. 11/2y and 2 aren't like terms because one contains the variable y and the other contains no variable
B. The distribute property can't be used there because you don't have 15(y-1) you have 15y-1
C. Subtracting 11/2y sounds like a good step because there is a y term on the opposing side.
15y-1=11/2y+2
Subtracing 11/2y on both sides
9.5y-1=2
That looks pretty good because then you would add 1 on both sides giving:
9.5y =3
Last step would get the y by itself which is dividing both sides by 9.5 giving you 6/19.
D. You could actually do this but it doesn't help you get x by itself. The equation would look like this: 15/2 y-1/2=11/4 y+1
Answer:
steps below
Step-by-step explanation:
1. The series contains a combination of two arithmetic sequence series. The number series in the odd position (100,90,80,..) is an arithmetic series with a common difference of 10, and the even number group (3,10,15,...) is another arithmetic series with a common difference of 5.
2. sequence 1 (Odd): a₁ = 100 d = 10 next term is 60
sequence 2 (Even): a₁ = 5 d = 5 next term is 20
3. next 2 terms of the series are 60, 20
<span><span>an</span>=<span><span>(<span>−<span>2x</span></span>)</span><span>(<span>2<span>−1</span></span>)</span></span></span>Step 1: Divide both sides by n.<span><span><span>an</span>n</span>=<span><span>−x</span>n</span></span><span>a=<span><span>−x</span>n</span></span>Answer:<span>a=<span><span>−x</span><span>n</span></span></span>
As given by the question
There are given that the dot plots that show the ages of students.
Now,
As obtained from the dot plot:
Now,
The mean of the given data is:
So,
Then,
And,
The mode of the given data is:
The mode is defined for the most frequently occurring value
So,
Hence, the value of the mean is 12.8 and the mode is 13.
