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Solve linear equations with variables on both sides: word problems

Bth Grade (A Days / Sem 22) A\newlineStart your quiz\newlineALEKS - Avery Cartion - Assig:\newlinewww-awu.aleks.com/alekscgl/x/lsl.exe/1010_U-IgNsIkr77jBP33)jH-IBlpah55CfrEFJfdH55V7272u2525B.J5656X22ipEdTVrw00STm33asgTAa44BxUes33jCTWP-BSkect\newlinewtsdnj.com bookmarks\newlineStory pin image\newlineEducational Hip.Ho.\newlineBrainPOP\newlineStudies Weekty Expl.\newlineMath\newlineWhite Pose\newlineJoin a Game - Qula:\newlineAssignment 22\newlineQuestion 66 of 1111 ( 11 point) I Question Attempt: 11 of 33\newline✓1 \checkmark 1 \newline22\newline✓3 \checkmark 3 \newline✓4 \checkmark 4 \newline66\newline1818\newline1010\newline1111\newlineLena can choose Plan A or Plan B for her long distance charges. For each plan, cost (In dollars) depends on minutes used (per month) as sh\newline(a) If Lena makes 120120 minutes of long distance calls for the month, which plan costs less?\newlineSa\newlineCheck\newline9202492024 McCraw HIILLC. Al Rights Resented
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RCPS - SHS - GA-Geometry: Con\newlinecampus.rockdale.k1212.ga.us\newline130130. IXL | Dashboard\newlineh.edgenuity.com/player/\newlinend Connections A - CR FY2424\newlineProving Vertical Angles Are Congruent\newline∠2 \angle 2 and ∠4 \angle 4 are vertical angles.\newlinee: ∠2≅∠4 \angle 2 \cong \angle 4 \newlineAssemble the proof by dragging tiles to the Statements and Reasons columns.\newlineStatements\newlineReasons\newlinem∠2+m∠3=180 m \angle 2+m \angle 3=180 \newlinem∠3+m∠4=180 m \angle 3+m \angle 4=180 \newline∠2 \angle 2 and ∠4 \angle 4 are vert. angles\newline∠2 \angle 2 and ∠3 \angle 3 are a linear pair\newline∠3 \angle 3 and ∠4 \angle 4 are a linear pair\newline∠4 \angle 4 11\newlineIntro
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Javier and Brianna both have summer jobs working at Honeybee Ice Cream. Javier makes $15\$15 per hour, and he has already earned a total of $270\$270 this summer. Brianna is starting today, and she will be making $18\$18 per hour as a new manager. Javier and Brianna work the same schedule.\newlineWhich equation can you use to find hh, the number of hours of work it will take for Brianna and Javier to have earned the same amount of money?\newlineChoices:\newline(A)15h+270=18h(A) 15h + 270 = 18h\newline(B)15h=18h+270(B) 15h = 18h + 270\newlineHow many hours of work will it take for Brianna and Javier to have earned the same amount of money?\newline___\_\_\_ hours\newline
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Wed Apr 1717\newlineAA\newlinezearn.org\newlineC\newlineLog in to\newlineSSO Launch...\newlineMath | Top-r...\newlineMath | Top-r... Z Zearn\newlineZearn\newlineLog in to i-R...\newlineM44|L1111\newlineOn Both of the Lines\newlineSign\newlineErica and Jared are tracking the number of kilometers they bike. Erica had already biked 8 km 8 \mathrm{~km} , anc continued biking 4 km 4 \mathrm{~km} per day. Jared had already biked 2 km 2 \mathrm{~km} , and continued biking 6 km 6 \mathrm{~km} per day. (44)\newlineWrite an equation that represents y y , the total number of kilometers Erica has biked after x x days.\newline11\newline22\newline33
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Rashida was asked to determine whether f(x)=x2−∣x∣ f(x)=x^{2}-|x| is even, odd, or neither. Here is her work:\newlineStep 11: Find expression for f(−x) f(-x) \newlinef(−x)=(−x)2−∣(−x)∣=x2+∣x∣ \begin{aligned} f(-x) & =(-x)^{2}-|(-x)| \\ & =x^{2}+|x| \end{aligned} \newlineStep 22: Check if f(−x) f(-x) is equal to f(x) f(x) or −f(x) -f(x) \newlinex2+∣x∣ x^{2}+|x| isn't the same as f(x)=x2−∣x∣ f(x)=x^{2}-|x| or −f(x)=−x2+∣x∣ -f(x)=-x^{2}+|x| .\newlineStep 33: Conclusion\newlinef(−x) f(-x) isn't equivalent to either f(x) f(x) or −f(x) -f(x) , so f f is neither even nor odd.\newlineIs Rashida's work correct? If not, what is the first step where Rashida made a mistake?\newlineChoose 11 answer:\newline(A) Rashida's work is correct.\newline(B) Rashida's work is incorrect. She first made a mistake in Step 11.\newline(C) Rashida's work is incorrect. She first made a mistake in Step 22.\newline(D) Rashida's work is incorrect. She first made a mistake in Step 33.
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Felix was asked whether the following equation is an identity:\newline(x2+1)2=(x2−1)2+(2x)2 \left(x^{2}+1\right)^{2}=\left(x^{2}-1\right)^{2}+(2 x)^{2} \newlineHe performed the following steps:\newline(x2+1)2 \left(x^{2}+1\right)^{2} \newline↪ Step 1=x4+x2+x2+1 \stackrel{\text { Step } 1}{\hookrightarrow}=x^{4}+x^{2}+x^{2}+1 \newline↪ Step 2=x4+2x2+1 \stackrel{\text { Step } 2}{\hookrightarrow}=x^{4}+2 x^{2}+1 \newline↪ Step 3=x4+2x2+1−2x2+2x2 \stackrel{\text { Step } 3}{\hookrightarrow}=x^{4}+2 x^{2}+1-2 x^{2}+2 x^{2} \newline↪ Step 4=(x4−2x2+1)+4x2 \stackrel{\text { Step } 4}{\hookrightarrow}=\left(x^{4}-2 x^{2}+1\right)+4 x^{2} \newline↪ Step 5=(x2−1)2+(2x)2 \stackrel{\text { Step } 5}{\hookrightarrow}=\left(x^{2}-1\right)^{2}+(2 x)^{2} \newlineFor this reason, Felix stated that the equation is a true identity.\newlineIs Felix correct? If not, in which step did he make a mistake?\newlineChoose 11 answer:\newline(A) Felix is correct.\newline(B) Felix is incorrect. He made a mistake in step 11.\newline(C) Felix is incorrect. He made a mistake in step 33.\newline(D) Felix is incorrect. He made a mistake in step 55.
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Philip is downloading applications (apps) and songs to his tablet. He downloads 77 apps and 66 songs. Each song takes an average of 00.88 minutes longer to download than each app. If it takes 2121.77 minutes for his downloads to finish, which of the following systems could be used to approximate a a , the average number of minutes it takes to download one app, and s s , the average number of minutes it takes to download one song?\newlineChoose 11 answer:\newline(A) a+s=21.7 a+s=21.7 \newline6s=7a−0.8 6 s=7 a-0.8 \newline(B) a+s=21.7 a+s=21.7 \newline7a=6s−0.8 7 a=6 s-0.8 \newline(C) 7a+6s=21.7 7 a+6 s=21.7 \newlines=a−0.8 s=a-0.8 \newline(D) 7a+6s=21.7 7 a+6 s=21.7 \newlinea=s−0.8 a=s-0.8
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Liam deposits l l dollars into an account that earns 0.9% 0.9 \% in simple interest each year. Grace deposits g g dollars into an account that earns 1.1% 1.1 \% in simple interest each year. Both Liam and Grace let their money earn interest for one year and make no further deposits. If Liam's initial deposit was $800 \$ 800 more than Grace's, and if both Liam and Grace earn the same amount of interest after one year, which of the following systems of equations could be used to find their initial deposits?\newlineChoose 11 answer:\newline(A) 0.009l+800=0.011g 0.009 l+800=0.011 g \newlinel=g l=g \newline(B) 0.009l=0.011g+800 0.009 l=0.011 g+800 \newlinel=g l=g \newline(c) 0.009l=0.011g 0.009 l=0.011 g \newlinel+800=g l+800=g \newline(D) 0.009l=0.011g 0.009 l=0.011 g \newlinel=g+800 l=g+800
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1515-го января Сергей планирует взять кредит в банке 5050 тыс. рублей на 55 месяцев. Условия его возврата таковы: - 11-го числа каждого месяца долг возрастает на 22\% по сравнению с концом предыдущего месяца; - со 22-го по 1414-е число каждого месяца необходимо выплатить часть долга; - 1515-го числа каждого месяца долг должен быть на одну и ту же сумму меньше долга на 1515-ое число предыдущего месяца. Какую сумму (в рублях) вернет Сергей в банк за весь срок кредитования?
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Question\newlineShow Examples\newlineAfter sitting out of a refrigerator for a while, a turkey at room temperature (70∘F) \left(70^{\circ} \mathrm{F}\right) is placed into an oven. The oven temperature is 325∘ 325^{\circ} F. Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the oven, as given by the formula below:\newlineT=Ta+(T0−Ta)e−ktTa= the temperature surrounding the object T0= the initial temperature of the object t= the time in hours T= the temperature of the object after t hours k= decay constant  \begin{array}{l} \qquad T=T_{a}+\left(T_{0}-T_{a}\right) e^{-k t} \\ T_{a}=\text { the temperature surrounding the object } \\ T_{0}=\text { the initial temperature of the object } \\ t=\text { the time in hours } \\ T=\text { the temperature of the object after } t \text { hours } \\ k=\text { decay constant } \end{array} \newlineThe turkey reaches the temperature of 116∘F 116^{\circ} \mathrm{F} after 2−5 2-5 hours. Using this information, find the value of k k , to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 55.55 hours.\newlineEnter only the final temperature into the input box.\newlineAnswer Attemps z out of 22\newlineT=57 T=57 \newlineSubmit Answert
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11.44 Pre cal-Quadratic formula\newline77. The profits of Mr. Unlucky's company can be represented by the equation p=−3t2+18t−4 p=-3 t^{2}+18 t-4 , where p p is the amount of profit in hundreds of thousands of dollars and x x is the number of years of operation. He realizes his company is on the downturn and wishes to sell before he ends up in debt. [66 pts]\newlinea) When will Unlucky's business show the maximum profit?\newlineP=−3t2+18t−4P+4−27=−3(t2−6t)P+4=−3t2+18tP−23=−3(t2−6tP+4=−3(t2−6t)→−6−7−3→iP=−3(t−3)2+23 unluchy’s boisne show the max’  vertex =(3)23) Profit after  \begin{array}{ll} P=-3 t^{2}+18 t-4 & P+4-27=-3\left(t^{2}-6 t\right) \\ P+4=-3 t^{2}+18 t & P-23=-3\left(t^{2}-6 t\right. \\ P+4=-3\left(t^{2}-6 t\right) \rightarrow-6-7-3 \rightarrow i & P=-3(t-3)^{2}+23 \text { unluchy's boisne show the max' } \\ & \text { vertex }=(3) 23) \text { Profit after } \end{array} \newlineb) At what time will it be too late to sell his business? (When will he start losing money?)
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