Answer:
A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.
↔ .5- 5 ↔ 5.0
↔ 2.0- -13 ↔ -13.0
- 0.38462... (
)
An irrational number is a number that is NOT rational. It's the complete opposite!
- π ↔ 3.14159
- .13133133...
↔ 0.86603...- -
↔ -2.23607...
↔ 2.23607...
Hope this helps!!!
Answer:
Part A:




Part B:


and 
Step-by-step explanation:
Part A:
The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:


Using the value of y from the first equation in the second one, we have:





Part B:
If he shoots a total of ten targets, we can write the equation:

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

If we subtract the second equation by two times the first one, we have:



⇒ 
4- distributive property
Reason
X(y+u)= xy+xu
Expansion is distributive property
Hope it helps
The reciprocal of 3/4 is 4/3
Answer:
Domain: all real numbers. Range: (-∞, 2000]
Step-by-step explanation:
f(x)=2.5x is a simple "ramp" function, a linear function and a polynomial. As such, its domain contains "all real numbers." That value 800 defines the largest value that this f(x) can have: f(800) = 2.5(800) = 2000.
Thus, the range is "all real numbers from -∞ through and including 2000."