Find a value using two-variable equations

Lesson 12123-3 - Reinforce Understanding niknirtT bnohka - E-St nozzot Solve Multi-Step Problems Involving? Measurement Units\newlineName\newlineReview\newlineYou can convert units at the beginning or the end of a problem.\newlineThe longest NFL field goal kick on record is 6464 yards. Mitch is 34 \frac{3}{4} of the way to reaching the record. How far can Mitch kick, in feet?\newline\begin{tabular}{|l|l|l|}\newline\hline \begin{tabular}{l} \newlineConversion as \\\newline1st  1^{\text {st }} Step\newline\end{tabular} & 64×3=192 64 \times 3=192 feet & 192×34=144ft 192 \times \frac{3}{4}=144 \mathrm{ft} \\\newline\hline \begin{tabular}{l} \newlineConversion as \\\newline2nd  2^{\text {nd }} Step\newline\end{tabular} & 64×34=48 64 \times \frac{3}{4}=48 yards & 48×3=144ft 48 \times 3=144 \mathrm{ft} \\\newline\hline\newline\end{tabular}\newlineFill in each blank to solve the problem.\newline11. Griffin has completed 34 \frac{3}{4} of a 55 -kilometer run. How many meters has he run?\newlineGriffin has run 334 3 \frac{3}{4} kilometers, which is. 755755 meters.\newline22. A skein of yarn is 220220 yards. Sharon's ball of yarn is 49 \frac{4}{9} of a skein. How many feet of yarn does Sharon have?\newlineSharon has 1st  1^{\text {st }} 00\newline1st  1^{\text {st }} 00 Yards of yarn, which is 1st  1^{\text {st }} 00 feet.\newline7373\newline33. The average person spends 7878,000000 hours watching television over their lifetime. 1st  1^{\text {st }} 33 of that time is spent watching commercials. How many days are spent watching commercials?\newlineThe average person watches 1st  1^{\text {st }} 00 hours of television in their lifetime, which is 1st  1^{\text {st }} 00 days.\newline44. Sophie has 55 kilograms of potatoes. She peels 900900 grams of potatoes for a dinner party. How many kilograms of potatoes.does she have left?\newlineSophie has peeled 1st  1^{\text {st }} 00 kilgrams of potatoes. Sophie has 1st  1^{\text {st }} 00 kilograms of potatoes left to peel.\newlineDifferentiation Resource Book\newline143143
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(b) Succinic acid and its salts are food additives. The formula of a molecule of succinic acid is (CH2)n(COOH)2 \left(\mathrm{CH}_{2}\right)_{n}(\mathrm{COOH})_{2} where n>1 \boldsymbol{n}>1 . Succinic acid reacts with sodium hydroxide according to the following balanced equation:\newline(CH2)n(COOH)2+2NaOH(CH2)n(COONa)2+2H2O \left(\mathrm{CH}_{2}\right)_{n}(\mathrm{COOH})_{2}+2 \mathrm{NaOH} \rightarrow\left(\mathrm{CH}_{2}\right)_{n}(\mathrm{COONa})_{2}+2 \mathrm{H}_{2} \mathrm{O} \newlineWhen 1.77 g 1.77 \mathrm{~g} of succinic acid react completely with sodium hydroxide 2.43 g 2.43 \mathrm{~g} of (CH2)n(COONa)2 \left(\mathrm{CH}_{2}\right)_{n}(\mathrm{COONa})_{2} (disodium succinate) are formed.\newline(i) Write expressions in terms of n \boldsymbol{n} for the molar masses of (CH2)n(COOH)2 \left(\mathrm{CH}_{2}\right)_{n}(\mathrm{COOH})_{2} and (CH2)n(COONa)2 \left(\mathrm{CH}_{2}\right)_{n}(\mathrm{COONa})_{2} .\newline(ii) Write expressions in terms of n \boldsymbol{n} for the number of moles of succinic acid in 1.77 g 1.77 \mathrm{~g} of the acid and the number of moles of disodium succinate in 2.43 g 2.43 \mathrm{~g} of the salt.\newline(iii) Find the value of n \boldsymbol{n} and the mass of one mole of succinic acid.\newline(iv) What volume of a n>1 \boldsymbol{n}>1 22 solution is required for complete reaction with an aqueous solution containing 1.77 g 1.77 \mathrm{~g} succinic acid?
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NAME\newline \qquad DATE \qquad PERIOD \qquad Solving Linear Equations by Graphing\newlineEstimate Solutions by Graphing Sometimes graphing does not provide an exact solution, but only an estimate. In these cases, solve algebraically to tind the exact solution.\newlineExample: WALKING You and your cousin decide to walk the 77-mile trail at the state park to the ranger station. The function d=73.2t d=7-3.2 t represents your distance d d from the ranger station after t t hours. Find the zero of this function. Describe what this value means in this context.\newlineMake a table of values to graph the function.\newline\begin{tabular}{|c|c|c|c|}\newline\hlinet t & d=73.2t d=7-3.2 t & d d & (t,d) (t, d) \\\newline\hline 00 & \qquad 00 & 77 & \qquad 11 \\\newline\hline 11 & \qquad 22 & 33.88 & \qquad 33 \\\newline\hline 22 & \qquad 44 & 00.66 & \qquad 55 \\\newline\hline\newline\end{tabular}\newlineThe graph intersects the t t -axis between \qquad 77 and \qquad 88, but closer to \qquad 77. It will take you and your cousin just over two hours to reach the ranger station.\newlineYou can check your estimate by solving the equation algebraically.\newlineExercises\newline11. MUSIC Jessica wants to record her favorite songs to one CD. The function \qquad 00 represents the recording time \qquad 11 available after \qquad 22 songs are recorded. Find the zero of this function. Describe what this value means in this context.\newline22. GIFT CARDS Enrique uses a gift card to buy coffee at a coffee shop. The initial value of the gift card is \qquad 33. The function \qquad 44 represents the amount of money still left on the gift card \qquad 22 after purchasing \qquad 66 cups of coffee. Find the zero of this function. Describe what this value means in this context.\newlineChapter 33\newline1313\newlineGlencoe Algebra 11
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