The 6 terms of the series are
... 15, 14, 13, 12, 11, 10
The sum of them is 75.
_____
You could make use of the formula for the sum of the terms, or you could work out the sum from the given expression. It is easier just to list the terms and and them up.
This question is referred to two similar triangles.
One triangle has sides x and x - 2.
The other triangle has the respective sides x + x + 5 and x - 2 + x + 1
Then you can state a proportionality relation between the sides>
[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]
=> [2x + 5] / x = [2x - 1] / [x - 2]
=> (2x + 5)(x - 2) = (2x - 1)x
=> 2x^2 - 4x + 5x - 10 = 2x^2 - x
=> x - 10 = - x
=> 2x = 10
=> x = 10 / 2
=> x = 5
Answer: x = 5
Answer:
m = 12h
Step-by-step explanation:
Since Bill charges $12 per hour, it implies for every hour he charges $12. Therefore, the amount of money he makes, m, is dependent on the number of hours he works, h. The higher the number of hours, the more his money. And vice versa.
So that;
m = 12h
Thus if Bill works for 6 hours, his amount of money would be;
m = 12 (6)
= 72
m = $72
Bill would make $72 after working for 6 hours.
Answer:
(x+6)(x+2) is the factored equation
(-6, -2) is the coordinates
Step-by-step explanation:
find what multiplies to be 12 and adds to be 8
set each factor equal to 0 and solve for x, which is the coordinates
To find the mean you must add up all the numbers and divide by how many there are:
35 + 60 + x
_________ = 70
3
35 + 60 + x = 210
x = 65
He must score at least a 65 for a 70 average.
