<h3>
Answer: Choice A) 10/27 cup flour</h3>
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Work Shown:
3/5 cup water = 2/3 cup flour
15*(3/5) cup water = 15*(2/3) cup flour
9 cups water = 10 cups flour
9/27 cup water = 10/27 cup flour
1/3 cup water = 10/27 cup flour
In the second step I multiplied both sides by 15 to clear out the fractions. In the second to last step, I divided both sides by 27 so that it forms the fraction 9/27 which reduces to 1/3.
The ratio of each vertex coordinate on ΔA'B'C to the corresponding vertex coordinate on ΔABC is equal to 2. For example, A(1, 1) → A′(2, 2). This ratio is equal to the scale factor, n.
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)
The third equation is the answer
