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Similar Question 1
<p>The president of the Athletic Council decides to rent a hall fro the annual Athletic Banquet. Sportsmania charges $450 for the hall and $16 per meal. Sports-To-Go charges $330 for the hall and $20 per meal. </p><p>a) Assign variables. Write two equations to represent the information. </p><p>b) Solve the linear system to find the number of guests for which both halls charge the same amount. </p>
Similar Question 2
<p>On Edwin&#39;s farm there is a total of 50 chickens and cows. If there are 118 legs, how many chickens are there?</p>
Similar Question 3
<p>In the year 2000, there were 18 more models of sport utility vehicles than there were in the year 1990. There were 47 models of sport utility vehicles in 2000.</p><p>Write an addition equation to represent the situation.</p>
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Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does a hamburger have?</p>
<p>In the year 2000, there were 18 more models of sport utility vehicles than there were in the year 1990. There were 47 models of sport utility vehicles in 2000.</p><p>Write an addition equation to represent the situation.</p>
<p>Una plays hockey and is awarded 2 points for each goal and 1 point for each assist. Last season he had a total of 86 points. He scored 17 fewer goals than assists.</p><p><strong>(a)</strong> Write a linear system to represent the information.</p><p><strong>(b)</strong> Solve the system using the method of substitution. </p><p><strong>(c)</strong> What does the solution represent in the context of this question?</p>
<p>The perimeter of a beach volleyball court is 54 m. The difference between its length and its width is 9 m. </p><p>a) Create a linear system to model this situation. </p><p>b) Solve the system to determine the dimensions of the court. </p>
<p>A flight averages 460 miles per hour. The return flight averages 500 miles per hour due to a tailwind. The total flying time is <code class='latex inline'>\displaystyle 4.8 </code> hours. How long is each flight? Explain.</p>
<p>The Martins keep goats and chickens on their farm. If there are 23 animals with a total of 74 legs, how many of each type of animal are there?</p><p>F) 14 chickens, 9 goats</p><p>G) 19 chickens, 4 goats</p><p>H 9 chickens, 14 goats</p><p>D 4 chickens, 19 goats</p>
<p>A general rule for those climbing more than 7000 feet above sea level is to allow a total of <code class='latex inline'>(\frac{a-7000}{2000}+2)</code> weeks of camping during the ascension. In this expression, a represents the altitude in feet. If a group of mountain climbers have allowed for 9 weeks of camping in their schedule, how high can they climb without worrying about altitude sickness?</p>
<p>The perimeter of a beach volleyball court is 54 m. The difference between its length and its width is 9 m. </p><p>a) Create a linear system to model this situation. </p><p>b) Solve the system to determine the dimensions of the court. </p>
<p>Nyiri and Raven go to a sports store. The two girls buy a total of nine pairs of shorts. Raven purchases six less than twice as many pairs of shorts as Nyiri.</p><p>a) Assign variables. Write an equation to represent the information in the second sentence.</p><p>b) Write an equation to represent the information in the third sentence.</p><p>c) Solve the linear system by substitution to find the number of pairs of shorts each girl bought.</p><p>d) If the shorts cost $15.99 each, how much did each girl spend before taxes?</p>
<p>Sensei&#39;s Judo Club has a competition for the students. If you win a grappling match, you are awarded 5 points. If you tie, you are awarded 2 points. Jeremy grappled 15 times and his score was 48 points. How many grapples did Jeremy win?</p>
<p>A physics contest has 30 multiple choice questions. A correct answer gains 4 points while a wrong answer loses 1 point. Roy answered every question and scored 55 points. How many questions did he answer correctly?</p>
<p>The president of the Athletic Council decides to rent a hall fro the annual Athletic Banquet. Sportsmania charges $450 for the hall and $16 per meal. Sports-To-Go charges $330 for the hall and $20 per meal. </p><p>a) Assign variables. Write two equations to represent the information. </p><p>b) Solve the linear system to find the number of guests for which both halls charge the same amount. </p>
<p>A blue spruce tree grows an average of 15 cm per year. An eastern hemlock grows an average of 10 cm per year. When they were planted, a blue spruce was 120 cm tall and an eastern hemlock was 180 cm tall. How many years after planting will the trees reach the same height? How tall will they be?</p>
<p>In the year 2000, there were 18 more models of sport utility vehicles than there were in the year 1990. There were 47 models of sport utility vehicles in 2000.</p><p>How many models of sport utility vehicles were there in 1990?</p>
<p>Gregory works half as many hours per week as Paul. Between the two, they work a total of 48 h one week.</p><p>a) Write an equation to represent the information in the first sentence.</p><p>b) Write an equation to represent the information in the second sentence.</p><p>c) Use the method of substitution to find the number of hours worked by each of them.</p>
<p>Kyle reads for twice as many hours per week as Santiago. Together they read for a total of 24 hours in one week.</p><p>a) State how you will assign variables.</p><p>b) Write an equation to represent the information in the first sentence.</p><p>c) Write an equation to represent the information in the second sentence.</p><p>d) Use the method of substitution to find the number of hours each person spent reading that week.</p>
<p>Two wind turbines generate a total of <code class='latex inline'>57</code> kW of power. The larger turbine generates twice as much power as the smaller one. Find the power output of each turbine.</p>
<p>A swimming pool has a perimeter of 96 m. The length is 3 In more than twice the width. Find the length and width of the pool.</p>
<p>On Edwin&#39;s farm there is a total of 50 chickens and cows. If there are 118 legs, how many chickens are there?</p>
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