Im pretty sure that the answer is 0
Answer: The average age is 7.1 years.
This problem is an example of when we need to take a weighted average. We simply can't just find the average of 5 and 8, because there are different children of each each.
To start, lets multiply the total number of children by their individual ages.
6 x 5 = 30 years
14 x 8 = 112 years
There are 142 years among the 20 years, so divide 142 by 20. This gives us an average age of 7.1 years.
Answer:
She has 11/20 yds left
Step-by-step explanation:
We take what she had and subtract what she gave away
9/10 - 7/20
We need to get a common denominator of 20
9/10 *2/2 - 7/20
18/20 - 7/20
11/20
She has 11/20 yds left
namely, how many times does 0.4 go into 6⅓? or 6⅓ ÷ 0.4.
first off, let's convert the mixed fraction to improper, and the decimal to a fraction . We can always convert the decimal to a fraction by simply <u>adding as many zeros on the denominator as there are decimals and lose the dot atop</u>, let's do so.
![\bf 0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}~\hfill \stackrel{mixed}{6\frac{1}{3}}\implies \cfrac{6\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{19}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{How many servings of pasta were in the dish?}}{6\frac{1}{3}\div 0.4\implies \cfrac{19}{3}\div \cfrac{2}{5}}\implies \cfrac{19}{3}\cdot \cfrac{5}{2}\implies \cfrac{95}{6}\implies 15\frac{5}{6}](https://tex.z-dn.net/?f=%5Cbf%200.%5Cunderline%7B4%7D%5Cimplies%20%5Ccfrac%7B04%7D%7B1%5Cunderline%7B0%7D%7D%5Cimplies%20%5Ccfrac%7B4%7D%7B10%7D%5Cimplies%20%5Ccfrac%7B2%7D%7B5%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B6%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B6%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B19%7D%7B3%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Cstackrel%7B%5Ctextit%7BHow%20many%20servings%20of%20pasta%20were%20in%20the%20dish%3F%7D%7D%7B6%5Cfrac%7B1%7D%7B3%7D%5Cdiv%200.4%5Cimplies%20%5Ccfrac%7B19%7D%7B3%7D%5Cdiv%20%5Ccfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B19%7D%7B3%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B2%7D%5Cimplies%20%5Ccfrac%7B95%7D%7B6%7D%5Cimplies%2015%5Cfrac%7B5%7D%7B6%7D)
