5n-2=n+18
Move n to the other side
Sign changes from +n to -n
5n-n-2= n-n+18
5n-n-2= 18
4n-2= 18
Move -2 to the other side
Sign changes from -2 to +2
4n-2+2= 18+2
4n= 18+2
4n= 20
Divide by 4 for both sides
4n/4= 20/4
Answer: n=5
3-1
6-2
9-3
18-18
I think those are the proper ratios
B.) the length of the spring increases by 0.006 cm for every gram added to it.
y = 0.006x + 11.50
where:y = length of the spring in centimetersx = mass added to the spring in grams11.50 = the first number in the sequence0.006 = the common difference among numbers in the sequence.
x y1 11.5 + 0.006(1) = 11.50 + 0.006 = 11.506 2 11.5 + 0.006(2) = 11.50 + 0.012 = 11.5123 11.5 + 0.006(3) = 11.50 + 0.018 = 11.5184 11.5 + 0.006(4) = 11.50 + 0.024 = 11.5245 11.5 + 0.006(5) = 11.50 + 0.030 = 11.530
For every 1 gram added, the length of the string increases by 0.006cm
hope this helps
First term = 12
Solution:
A4 = 24
A12 = 56
An = A1 + (n-1)d; this defines the formula of an arithmetic series
A4 = 24 = A1 + (4-1)d
A4 = 24 = A1 + 3d
A12 = 56 = A1 + (12-1)d
A12 = 56 = A1 + 11d
Subtract A4 from A12 to get d (distance)
(56 = A1 + 11d) - (24 = A1 +3d)
32 = 8d
d = 4
Substitute d = 4 into A4
A4 = 24 = A1 + 3(d)
24 = A1 + 3(4)
24 = A1 + 12
24 - 12 = A1
12 = A1
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
<h3>

</h3>
<u>First of all cross multiply</u>
That's
<h3>

</h3>
Next divide both sides by - 1 to make x positive and change the sign from < to >
That's
<h3>

</h3>
We have the final answer as
<h2>

</h2>
Hope this helps you