Answer:
n = -3
(second option listed)
Step-by-step explanation:
first, we will distribute the 11 (n-1)
11 (n - 1) + 35 = 3n
11n - 11 + 35 = 3n
Now, we will combine -11 and 35 (because they are like terms)
11n + 24 = 3n
Now, to isolate x as a positive, I will subtract 3n from both sides
11n + 24 = 3n
- 3n - 3n
8n + 24 = 0
Now, I will subtract 24 from both sides to isolate n
8n + 24 = 0
- 24 - 24
8n = -24
Now, we will divide both sides by 8 to find "n"
8n = -24
÷8 ÷8
n = -3
This means that n is equal to -3
(n = -3)
Answer:
a₁ = 37
Step-by-step explanation:
In an arithmetic progression the common difference d is
d = a₂ - a₁ = a₃ - a₂ , that is
2x - 18 - (x + 1) = 2x - 1 - (2x - 18) ← distribute and simplify both sides
2x - 18 - x - 1 = 2x - 1 - 2x + 18
x - 19 = 17 ( add 19 to both sides )
x = 36
Thus
a₁ = x + 1 = 36 + 1 = 37
Answer:
Step-by-step explanation:
Note that 20 (an approximation for 205) less 4 (an approx. for 431) comes out to 16.
This tells us that the proper placement of the decimals is
20.50
- 4.31
----------
and this comes out to 16.19.
Answer:
9/25
Step-by-step explanation:
Using Pythagoras theorem,
.
Hope this helps.