Mathematics, 22.06.2019 14:00 tylerkrobinson5444

Rodrigo practiced playing the guitar 17 1/3 hours over the past 3 weeks. he practiced for 6 1/4 hours furing the firdt week snd 4 2/3 hours furing the second week. how much time did rodrigo spend practicing during the third week? use the number and symbols to select the equation that represents the problem. them solve the equation . symbols may be used more than once or not st all..

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Answer from: ayoismeisjuam

let's first off, convert all mixed fractions to improper fractions, and then add.

$\bf \stackrel{mixed}{17\frac{1}{3}}\implies \cfrac{17\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{52}{3}} \\\\\\ \stackrel{mixed}{6\frac{1}{4}}\implies \cfrac{6\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{25}{4}}~\hfill \stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \stackrel{week~1}{6\frac{1}{4}}+\stackrel{week~2}{4\frac{2}{3}}+\stackrel{week~3}{x}=17\frac{1}{3}~\hfill \implies ~\hfill \cfrac{25}{4}+\cfrac{14}{3}+x=\cfrac{52}{3} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{25}{4}+\cfrac{14}{3}+x \right)=12\left( \cfrac{52}{3} \right)}\implies (3)25+(4)14+(12)x=(4)52 \\\\\\ 75+56+12x=208\implies 131+12x=208\implies 12x=77 \\\\\\ x=\cfrac{77}{12}\implies x=6\frac{5}{12}$

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

Answer from: Quest

x=0

step-by-step explanation:

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