Step-by-step explanation:
the lowest common denominator (LCD) is the lowest common multiple (LCM) of the denominator numbers (the ones at the bottom of the fractions).
finding the LCM of 9 and 12 using the prime factor method :
9 = 3×3
12 = 2×2×3
the LCM is the combination of the longest chains per prime factor. which means we have 2×2 and 3×3 as longest chains for 2 and 3.
LCD = LCM = 2×2×3×3 = 36
2/9 turns into x/36 by multiplying by 4/4 :
2/9 × 4/4 = 8/36
5/12 turns into x/36 by multiplying by 3/3 :
5/12 × 3/3 = 15/36
so, the third answer option is correct.
Answer:
65.5 feet per second
Step-by-step explanation:
In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...
6,039 - 3,288 = 2,751 ft
Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.
2,751 ft / 42s = 65.5 ft/s
Finally we can see that the rate of descent was 65.5 feet per second
Answer:
1) 
- Greater than -10 and less than 10.
2) ![[-10, 10]](https://tex.z-dn.net/?f=%5B-10%2C%2010%5D)
- Greater than or equal to -10 and less than or equal to 10.
3) 
- Greater than or equal to -10 and less than 10.
4) ![(-10, 10]](https://tex.z-dn.net/?f=%28-10%2C%2010%5D)
Greater than -10 and less than or equal to 10.
Step-by-step explanation:
There are four form of describing that set in interval notation, which presented below:
1) - Greater than -10 and less than 10.
2) - Greater than or equal to -10 and less than or equal to 10.
3) - Greater than or equal to -10 and less than 10.
4) Greater than -10 and less than or equal to 10.
An ratio is a fraction that describes a comparison of two numbers or quanitites
Answer:
-m+3
Step-by-step explanation:
4 - 3m - 1 + 2m
4-1-m
-m+3
