Tutors Answer Your Questions about Human-and-algebraic-language (FREE)
Question 807947: A rectangular lot is bounded on one side by a river and on the other three sides by a total of 80 metres of fencing. Find the dimensions of the largest possible lot.
Can you please help me out? Thanks so much in advance :)
Click here to see answer by richwmiller(17219)   |
Question 808058: jim and joe are training for a big race by running a total of 60 laps. on the first day, and on each day after, jim runs 5 laps. On the first day, and on each day after, joe runs 6 laps. How many days longer will it take jim to complete 60 laps?
Click here to see answer by richwmiller(17219) |
Question 808175: For a building at Hertiage college , an architect wants to layout a rectangle piece of ground that has a perimeter of 204 metres and area of 2565 metres squared .Find the dimensions of the ground.
Can you please help me out? Thank you
Click here to see answer by JBarnum(2146)  |
Question 808175: For a building at Hertiage college , an architect wants to layout a rectangle piece of ground that has a perimeter of 204 metres and area of 2565 metres squared .Find the dimensions of the ground.
Can you please help me out? Thank you
Click here to see answer by richwmiller(17219) |
Question 809259: Natsumi receives $126 per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is three times the amount invested at 3%. Find the amount invested in each rate.
Click here to see answer by richwmiller(17219) |
Question 810100: A building contractor estimated labor cost for a job will be $25,000 more than the material cost. Tha total labor and material cost is $95,000
a. What is the estimated material cost?
b. What is the estimated labor cost?
I have (m = material) 2m + $25,000 = $95,000.
To me this set up does not look correct to me.
Click here to see answer by richwmiller(17219) |
Question 810619: An airplane flying horizontally at an altitude of 29,000 ft approaches a radar station located on a 3000-ft-high hill. At one instant in time, the angle between the radar dish pointed at the plane and the horizontal is 55°. What is the straight-line distance in miles between the airplane and the radar station at that particular instant? (Round your answer to one decimal place.)
Click here to see answer by TimothyLamb(4379)  |
Question 811249: the formula h=-16t^2 48t 160 given the height of an object thrown from a building 160 feet high with an initial speed of 48 ft/sec where t is measured in seconds find the time for the object to hit the ground and find the maximum height of the object
Click here to see answer by richwmiller(17219) |
Question 811464: I need to show the work for the following question:
A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the bills is $780. How many $5 are there?
I know the answer is 20 $5 and 34 $20, but I am not sure how to show the work. Here is what I have so far:
The approach to solve problems with algebra is usually quite different. Word problems are solved by separating information from the problems into two equal groups, one for each side of an equation. Examine this problem.
A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the bills is $780. How many $5 are there?
We know that the sum of $5 and $20 is equal to the total amount of money. An unknown number or value is represented by a letter. The total number of $5 bills is unknown, so we will represent that amount with x. When the value that a particular variable will represent is determined, it is defined by writing a statement like,
Let x = Number of $5
Once again, the sum of $5 and $20 is equal to the total amount of money ($780). This can be used to translate the problem into an equation, like the following:
5 + 20 = x
The next step is to solve this equation.
Now solve the equation which was created in the last step.
Let x = Number of $5
Initial Equation 5 + 20 = x
After combining like terms 25 = x
The answer is then rewritten as a sentence.
There are 25 Total number of $5.
By using simple arithmetic, this problem probably could have been solved faster without setting up an algebra equation. But, knowing how to use an equation for this problem builds awareness of concepts which are useful, and sometimes critical to solving much harder problems. One such problem will be presented in the next example.
Click here to see answer by richwmiller(17219) |
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