Answer:
You need 14 19/24 inches of fabric
Step-by-step explanation:
We'll need a common denominator between 2/3, 1/2, and 5/8. 24 is the least (lowest) common denominator.
3 x 8 = 24, so we multiply the numerator and denominator by 8 and 6 2/3 becomes 6 16/24ths
2 x 12 = 24, so we multiply the numerator and denominator by 12, and 4 1/2 becomes 4 12/24
8 x 3 = 24, so we multiply the numerator and denominator by 3, and 3 5/8 becomes 3 15/24.
Now we are adding 6 16/24 + 4 12/24 + 3 15/24
6 16/24 + 4 12/24 + 3 15/24 = 6 + 4 + 3 + 16/24 + 12/24 + 15/24
= 13 + 43/24 = 14 19/24
Please lmk if you have questions.
21% of 96 = (21/100)×96
= 0.21×96
= 20.16
I think a is the best answer.
Answer:
Year - (1993 - 1995)
Step-by-step explanation:
Rate of change in the number of toys sold = ![\frac{\text{change in number of toys sold}}{\text{Time interval}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bchange%20in%20number%20of%20toys%20sold%7D%7D%7B%5Ctext%7BTime%20interval%7D%7D)
In the interval (1990 - 1993),
Rate of change in number of toys sold = ![\frac{32000-20000}{1993-1990}](https://tex.z-dn.net/?f=%5Cfrac%7B32000-20000%7D%7B1993-1990%7D)
= ![\frac{12000}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B12000%7D%7B3%7D)
= 4000
In the interval (1993 - 1995),
Rate of change = ![\frac{42000-32000}{1995-1993}](https://tex.z-dn.net/?f=%5Cfrac%7B42000-32000%7D%7B1995-1993%7D)
= ![\frac{10000}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B10000%7D%7B2%7D)
= 5000
In the interval (2000 - 1995),
Rate of change = ![\frac{57000-42000}{2000-1995}](https://tex.z-dn.net/?f=%5Cfrac%7B57000-42000%7D%7B2000-1995%7D)
= ![\frac{15000}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B15000%7D%7B5%7D)
= 3000
In the interval (2006 - 2000),
Rate of change = ![\frac{63000-57000}{2006-2000}](https://tex.z-dn.net/?f=%5Cfrac%7B63000-57000%7D%7B2006-2000%7D)
= ![\frac{6000}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B6000%7D%7B6%7D)
= 1000
Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).