Answer:
5
Step-by-step explanation:
8x - 6 > 12 + 2x
Subtract 2x from each
8x -2x -6 > 12+2x-2x
6x -6 > 12
Add 6 to each side
6x -6+6 > 12+6
6x > 18
Divide by 6
6x/6 > 18/6
x > 3
The only value greater than 3 is 5
Answer:

General Formulas and Concepts:
<u>Pre-Algebra I</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Midpoint Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
R (9, 3)
S (-1, -9)
<u>Step 2: Find midpoint</u>
- Substitute:

- Subtract:

- Divide:

The answer is going to be 5 laps per day because I did 15 laps/3days and divided each side by 3 which the answer is going to be 5/1 but it’s basically 5 since it’s going to be a whole number in this set. Therefore the unit rate of 15 laps in 3 days is going to be 5 laps per day.
Answer:

Step-by-step explanation:
x is the center of the circle.
the chord of length 12 can be splitted into two parts of 6 length each.
since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.
The explanation is given in the picture
Answer:
First do the case in which none of the digits is 0.
There are 9 ways to choose the digit that repeats 3 times and 8 ways to pick the other, after this there are 4 ways to order the digits. So 9×8×4.
Now we look at the cases in which the digit 0 repeats 3 times. Clearly the 9 numbers are 1000,2000,3000,…,9000.
Lastly we look at the cases in which 0 appears once. There are 9 ways to pick the other digit and 3 ways to order.
So the final answer is 9×8×4+9+9×3.