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Calculate Miles Per Gallon

You can buy one of the following cars. You want to base your decision on which car gets the best gas mileage. Calculate the mile per gallon rate for each of the following cars and tell which one gets the best gas mileage. Show all work. Car A can travel 290 miles on 12 gallons of gas Car B can travel 420 m

Library Research

Library Research Assignment Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population i

slope-intercept form.

1.Find an equation of the line containing the given pair of points. Write your final answer in slope-intercept form.Please explain your work (3, -4) and (6, -11) 2.Graph the line with slope -4/3 that passes through the point (1, 4)Please explain your work

slope-intercept form equation

1.Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. Please show your work. M=1.5; (7,-2) 2. Solve this problem. A gas station sells 4820 gallons of regular unleaded gasoline on a day when they charge $1.35 per gallon, and they sell 3930

Functions and Their Graphs

Find the most recent population count of the country South America and the population growth rate of that country. Use that growth rate to approximate the population in the year 2015. Write a paragraph about how you might use this information in a role as a politician, government administrator or business owner/operator. What w


Pick a country of your choice that is experiencing population growth. Using the Library, web resources, and/or other materials to find the most recent population count of the country you have chosen and the population growth rate of that country. Use that growth rate to approximate the population in the year 2015. Solve the prob

distributive property.

1. Could you share a few specific mathematical examples to demonstrate For instance, if I said an important concept of distributive property for the following example is? Example 4(x+2) = 4x + 8 2. When we square a product, we square each factor in the product. For example (4b) 2= 16b2. Explain why we cannot squar

Monotone Sequence: Cluster Points Example Question

I need to prove the following; Prove that a monotone sequence can have at most one cluster point. Definition: A real number if x is called a cluster point of the sequence provided some subsequence of the sequence converges to x. Thanks!

Newton's Law of Cooling explained

Background: In the beginning of the year, we discussed qualitative graphs and independent/dependent variables. One of the situations we graphed was the temperature of some food taken out of the oven while we waited for it to cool enough to put into the refrigerator. This situation can actually be modeled with an exponential e

total number of games

Cindy organized a checker tournament for her class. Each player was to play one game against every other player. Eight students signed up to play. How many games did Cindy need to schedule? Show the strategy you would use and your answer.

Quadratic Equations

When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -10t^2 + v*t + k gives the height of the ball at any time, t in seconds, where "v" is the initial velocity (speed) in meters/sec and "k" is the initial height in meters (as if you were on top of a tower or building). Make up a scenario w

Calculating Perimeter of the Barn Lot

Mr. Joe plans to fence in a rectangular barn lot for his cows. He plans to make a barbed-wire fence that has 3 strands of wire. He has 3 partly-used rolls of barbed wire and plans to use all of the wire for his fence. He wants to fence in the largest lot possible. One roll of wire has 112'. The second roll has 64', and the third

Five Step Problem-Solving Processes

1. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. The supplement of an angle measures 40° more than twice its complement. Find the measure of the angle. 2. Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. Yo

Solving Example Algebra and Word Problems

1. Solve the system of equations & find the ordered pairs x + 9y = 4 (1) x = 5-9y (2) 2. Solve by the substitution method 4x+9y=60 x=69-9y 3. I am having trouble with two word problems: a) Train A and B are traveling in the same direction on parallel tracks. Train A is traveling at 40mph and t

Force and Motion Vector Problems

1. The resultant of two forces acting on a body has a magnitude of 80 pounds. The angles between the resultant and the forces are 20° and 52°. Find the magnitude of the larger force. 34.7 pounds 28.8 pounds 66.3 pounds 184.3 pounds 2. Without the wind, a plane would fly due east at a rate of 150 mp

MA105 Homework Assistance (Please see the attached file).

Determine whether the equation is an identity, a conditional equation, or an inconsistent equation... Solve the equation... Solve the equation... Plot the given point in a rectangular coordinate system... Use the graph to determine the x- and y-intercepts... Use the five-step strategy for solving word problems to find the n

Total Number of Turns on Churning Machine

If the churning machine can makes 5 full turn=5s in 20 minutes, what is the total number of turns it makes in one hour? What I know? 60 minutes in one hour 60/20=3 (how many increments in 60 minutes) 3*5= 15(number of times the t)he machine will turn

Linear programming

Betty Malloy owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and the must determine how much beer to stock. Betty stocks three brand of beer-Yodel, Shortz,and Rainwater. The cost per gallon (to the tavern owner) of each brand is as follow: Brand Cost/Gallon ------------------------ Yodel

Solving Inequalities with Different Methods

Could someone please help me with the following problems: Thank you!!! 1. Use set building notation to describe the complete solution 31-(2x+2)≤4(x+1)+x {x|x?,?} 2. Solve the elimination method 0.3x-0.2y=4 0.4x+0.5y=1 A. The solution is__ B. There are infinitely many solutions C. There is no solution 3. -29

Please show me all steps

1-3. Set up a system of linear equations to describe the following problem and solve the system using one of the methods discussed this week. At the end of the year, a business has made a profit of $151,000. They must calculate the amount of tax due to the federal government and to the state. The federal tax rate is 30%, and th

examples of distance and measurement

1. If the distance from the earth to the sun were 92,900,000 miles, how long would it take a rocket, traveling at 2.8 × 103 miles per hour, to reach the sun? (Round to three places) 2. A circular window of radius 13 inches is to be laminated with a sun block coating that costs $0.95 per square inch to apply. What is the to

Expected Value of a Joint Density Function

Random variable x and y have the joint density function defined as fx,y(x,y)= {1/25 o < x < 5 and 0 < y < 5} {0 elsewhere } what is the expected value of the function g(XY)=XY^2

Creating a Number Sentence to Support Algebra Conclusion

How would I go about solving this problem? Suppose you have a friend named Ed. He and his four friends are having ice cream. There are only three flavors available at the ice cream store they are visiting: chocolate, vanilla, and strawberry. One of Ed's friends, Stacey, eats chocolate exclusively. How many different kinds of

Finding the best score variation

The Jackson triplets, Jenny, John, and James, are in different algebra classes at City High. On their final exams, Jenny scored 85 on a test with a mean of 78 and a standard deviation of 8.5; John scored 78 on a test with a mean of 73 and a standard deviation of 9; and James scored 83 on a test with a mean of 75 and a standard d

Break-Even Analysis .

Find a linear cost function in Break-Even Analysis The cost function for flavored coffee at an upscale coffeehouse is given in dollars C(x) = 3x 1 + 160,by where x is in pounds. The coffee sells for $7 per pound. a. Find the break-even quantity. b. What will the revenue be at that point?

Linear program using Excel Solver

See the attached file. A real estate developer is planning a new mini apartment complex. Three types of units can be built: one-bedroom apartments, two-bedroom apartments, and three-bedroom apartments. Each one-bedroom apartment requires 650 square feet; each two-bedroom apartment requires 800 square feet; and each three-bed

Halloween Week Probability

In October , the zoo had a special week called "Halloween week". On the last day of October, they had a party where everyone wore costumes. A contest was held to choose the best black Halloween cat. each cat wore a number. all the numbers put on the cats had one thing in common. What did the numbers have in common? numbers:

LP in a spreadsheet and solve with Solver in neat readable form

A bank has $650,000 in assets to allocate among investments in bonds, home mortgages, car loans, and personal loans. Bonds are expected to produce a return of 10%, mortgages 8.5%, car loans 9.5%, and personal loans 12.5%. To make sure the portfolio is not too risky, the bank wants to restrict personal loans to no more than 25% o

Linear programming

The Dreskin Development Company is building two apartment complexes. It must decide how many units to construct in each complex subject to labor and material constraints. The profit generated for each apartment in the first complex is estimated at $900, for each apartment in the second complex, $1,500. A partial initial simplex