First, square both sides (d.) leaving 3x + 1 = 16
Second, subtract 1 from both sides (a.) leaving 3x = 15
Third, divide by 3 from both sides (e.) leaving x = 5
Answer: First D, then A, then E
Question:
Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?
Choose 1 answer:


C. None of the above
Answer:

Step-by-step explanation:
Given
Numbers: 1.7 and -1/2
Required
Determine the distance
To calculate the distance, we start by calculating the difference between the given numbers;

Then, we calculate the distance;
<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>
Hence,

Substitute
for Difference;

<em>Hence, the correct option is B</em>
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
Solved for n, <em>n = 2p</em>
Step-by-step explanation:
14n + 6p - 8n = 18p
6n + 6p = 18p
6n = 12p
n = 2p