Answer:
Step-by-step explanation:
Hope this helps!
Carly can paint 6/7 of a picture in 3/14 of an hour how many pictures can she paint in a full hour
1 answer:
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Answer:
Step-by-step explanation:
We first need to bring x up into the numerator. I will find common denominators by multiplying both sides by each denominator.
This will eliminate both denominators and leave me with
after I simplify the parenthesis.
Now I will solve the equation for x by subtracting 9x from both sides.
Then divide by the coefficient of x.
Answer:
Summation notation is:
If you prefer it a little more simplified:
Step-by-step explanation:
First my favorite part, finding a pattern between the consecutive terms.
This is an arithmetic series because the terms are going up by 5 each time.
So arithmetic sequence, think linear equations:
x | y
1 -9
2 -4
3 1
4 6
..................
n 66
We are going to have to find that n but will will eventually...
The equation for a line in point slope form is where
is a point on the line and m is the slope.
We are already have the slope is 5 (the slope is the common difference in arithmetic sequence).
I'm going to use the first point (1,-9).
So the equation in point slope form is
Subtract 9 on both sides:
Now we need to know how many terms we are adding so what is x if y=66.
Add 9 on both sides:
Divide both sides by 5:
Add 1 on both sides:
We have 16 terms in this sequence where the 16th term is 66.
Summation notation is:
You could simplify the 5(x-1)-9.
Distribute: 5x-5-9
Add like terms: 5x-14