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rapaljer answered: 4664 problems
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if a tank is 60.ft long-x-15.ft tall -x-15.ft wide ..how many sqaure feet is the inside tank for building ..i trying to see if still under 1800 sqft or over the fact..
1 solutions
Answer 220640 by rapaljer(4667)   on 2010-05-25 22:57:39 (Show Source):
You can put this solution on YOUR website!Volume of a rectanglar tank is L*W*H, which in this case is 60*15*15= 13500 cubic feet. By the way, volume is given in cubic feet. Square feet is for area or perhaps surface area.
I'm not sure the meaning of your 1800 sq.ft. Maybe you should reply to this by way of sending me an Email at rapaljer@seminolestate.edu or just send me a Thank You note to give me more details. Then I can respond to your Email or I can add a note to the solution I've posted.
I think you were asking about the surface area of the tank. The surface area of the top of the tank is 60*15= 900 square feet.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
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Geometry_Word_Problems/308574: The perimeter of a rectangular concrete slab is 82 feet and its area is 418 square feet. What is the length of the longer side of the slab?
I started by making two seperate equations, one for perimeter and one for area. I came up with 2L+2W=82 and L*W=418. I don't know where to go from here.
1 solutions
Answer 220638 by rapaljer(4667) on 2010-05-25 22:41:57 (Show Source):
You can put this solution on YOUR website!Simplify the first equation by dividing both sides by 2.
L+W= 41
Solve for W:
W=41-L
Substitute back into the other equation:
LW=418
L(41-L)=418
41L-L^2-418=0
Multiply both sides by -1:
L^2 -41L +418=0
The hard part is to find two numbers that multiply to give you 418, and that adds up to 41. The way I teach this is to start with 1 and make a list as follows:
1*418
2*209
11*38
19*22
This is the combination!
(L-19)(L-22)=0
L=19 or L=22
This means that 19 is the width and 22 is the length.
Dr. Robert J. Rapalje, Retired
P.S. Nice problem!!!
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test/308567: Solve the equation using the zero-product property.
(2x+2)(5x-5)=0
1 solutions
Answer 220632 by rapaljer(4667) on 2010-05-25 22:10:02 (Show Source):
You can put this solution on YOUR website!When a product of two quantities equals 0, then one of those quantities must equal 0. In this case, there are two solutions.
(2x+2)(5x-5)=0
First solution:
2x+2=0
2x=-2
x=-1
Second solution:
5x-5=0
5x=5
x=1
Dr. Robert J. Rapalje, Retired
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Inequalities/308559: how do you determine which inequality is represented by a graph?
1 solutions
Answer 220630 by rapaljer(4667) on 2010-05-25 21:48:36 (Show Source):
You can put this solution on YOUR website!Like on a multiple choice or matching test??? First make sure the line is in the right place. Then, for inequalities there is the question of shading ABOVE the line or BELOW the line. That is a separate question. Besides this, you need to be more specific. Perhaps you could give an example or two.
Dr. Robert J. Rapalje, Retired
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Linear-systems/308558: (3a^8)(a^6)
1 solutions
Answer 220625 by rapaljer(4667) on 2010-05-25 21:41:56 (Show Source):
You can put this solution on YOUR website!When you multiply with the same base number, you ADD exponents.
(3a^8)(a^6)= 3a^14
You may want to see my website for help with Laws of Exponents! To find my website, just click on my tutor name "Rapaljer" anywhere in algebra.com. For written explanations, look for "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look for "Chapter 2, Sections 2.12 and 2.13" See also the "MATH IN LIVING COLOR" pages that go with this explanation, where the exercises are solved IN COLOR!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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Triangles/308552: what is the formula of a triangle that is 1 2/3 yard for base and 3/4 yard for height? Not sure how to figure the 2/3, and 3/4 on the calculator.
1 solutions
Answer 220619 by rapaljer(4667) on 2010-05-25 21:26:39 (Show Source):
You can put this solution on YOUR website!Change the 1 2/3 to an improper fraction which is 5/3, then you can calculate 5 divided by 3.
Now, the formula for area of a fraction is  .
With a calculator, multply  , which you can do in your head = 5/4, then take that answer and divide by 2.
On the calculator, 5 divided by 3 times 3 divided by 4, and then divided by 2. You will get a decimal, which most calculators will convert back to a fraction.
The final answer is 5/8.
Dr. Robert J. Rapalje, Retired
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Geometry_Word_Problems/308515: Pat measures the length of the shadow of a tree to be 54 feet long. At the same time he measures his own shadow to be 12 feet long and his height to be 5 feet. how tall is the tree in feet?
1 solutions
Answer 220591 by rapaljer(4667) on 2010-05-25 19:56:49 (Show Source):
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Radicals/308476: Please help me simplify this radical expression: cube root of 27xy^3
1 solutions
Answer 220588 by rapaljer(4667) on 2010-05-25 19:42:30 (Show Source):
You can put this solution on YOUR website!
You may want to see my website for help with RADICALS! To find my website, just click on my tutor name "Rapaljer" anywhere in algebra.com. For written explanations, look for "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look for "Chapter 5." See also the "MATH IN LIVING COLOR" pages that go with this explanation, where the exercises are solved IN COLOR! See also "Intermediate Algebra" in "Chapter 3."
For VIDEO explanations, on my Homepage look for "Rapalje Videos in Living Color". Choose "Intermediate Algebra" and select the topics of "Radicals and Fractional Exponents." These videos are from my own classroom a few years ago before I retired. I hope you find these helpful.
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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Equations/308509: A family of four drinks 8 gallons of milk in 4 weeks, how many more gallons of milk will the family drink in 12 weeks?***
1 solutions
Answer 220584 by rapaljer(4667) on 2010-05-25 19:31:50 (Show Source):
You can put this solution on YOUR website!I would say that in 12 weeks they will drink 3 times as much milk, which is a total of 8*3= 24 gallons. This is 16 MORE gallons than they did in 4 weeks.
Dr. Robert J. Rapalje, Retired
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test/308456: How do use substitution method to solve the linear system.
1 solutions
Answer 220560 by rapaljer(4667) on 2010-05-25 17:20:29 (Show Source):
You can put this solution on YOUR website!You may want to see my website for help with Solving Systems of Equations! To find my website, just click on my tutor name "Rapaljer" anywhere in algebra.com. For written explanations, look for "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look for "Chapter 4 (Graphing)". Your specific question is answered in "Section 4.07 Systems of Equations." See also the "MATH IN LIVING COLOR" pages that go with this explanation, where the exercises are solved IN COLOR!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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Rational-functions/308451: What is the graph of this vertical function: f(x)= x/x+2
Also, I need to know the vertical, horizontal, and slant asymptotes.
I know one asymptote has to be x=-2 and that the y-axis should shift over to the left 2 but I'm confused on how you graph it.
1 solutions
Answer 220558 by rapaljer(4667) on 2010-05-25 17:12:49 (Show Source):
You can put this solution on YOUR website!You are correct about the vertical asymptote. The horizontal asymptote is y=1, (since the degree of the numerator equals the degree of the denominator, the horizontal asymptote is 1/1). The y-intercept is (0,0). You can graph a few points if you like, but the graphing calculator does it best if they are allowed.
Dr. Robert J. Rapalje, Retired
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Exponents/308452: what is the answer to 
Thanks
1 solutions
Answer 220555 by rapaljer(4667) on 2010-05-25 17:07:25 (Show Source):
You can put this solution on YOUR website!
You may want to see my website for help with Laws of Exponents! To find my website, just click on my tutor name "Rapaljer" anywhere in algebra.com. For written explanations, look for "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look for the sections near the end of "Chapter 2" that deal with the Laws of Exponents. See also the "MATH IN LIVING COLOR" pages that go with this explanation, where the exercises are solved IN COLOR!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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Age_Word_Problems/308450: Paul is 12. His father is 33. How many years ago was the father 4 times as old as the son?
1 solutions
Answer 220550 by rapaljer(4667) on 2010-05-25 17:04:18 (Show Source):
You can put this solution on YOUR website!Let x = number of years ago.
12-x = Paul's age x years ago
33-x = His father's age x years ago.
33-x=4(12-x)
33-x=48-4x
Add 4x to each side:
33-x+4x=48-4x+4x
33+3x=48
Subtract 33 from each side
3x=48-33
3x-15
x=5
Paul was 12-5=7
Father was 33-5=28
It checks!!
Dr. Robert J. Rapalje, Retired
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Trigonometry-basics/308445: 2pi/3 converted to degrees.
i know how to convert to degrees. just multiply 180/pi
but would i cancel out the pi's and leave the 2 there? so would it end up being 180x2x3?
1 solutions
Answer 220529 by rapaljer(4667) on 2010-05-25 16:42:05 (Show Source):
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real-numbers/308436: multiply and simplify. assume all variables represent nonnegative real numbers. write in radical notation.
square rootm square root4 m^21
1 solutions
Answer 220510 by rapaljer(4667) on 2010-05-25 16:10:58 (Show Source):
You can put this solution on YOUR website!
You may want to see my website for help with RADICALS! To find my website, just click on my tutor name "Rapaljer" anywhere in algebra.com. For written explanations, look for "Basic, Intermediate, and College Algebra: One Step at a Time", choose "Basic Algebra" and look for "Chapter 5 Radicals." See also the "MATH IN LIVING COLOR" pages that go with this explanation, where the exercises are solved IN COLOR!
For VIDEO explanations, on my Homepage look for "Rapalje Videos in Living Color". Choose "Basic Algebra" and select the topics of "Radicals." These videos are from my own classroom a few years ago before I retired. I hope you find these helpful. Everything is FREE, even the videos!!
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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Quadratic_Equations/308428: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard from; ax^2+bx+c=0,
Solution: 5, only solution.
Thanks!
1 solutions
Answer 220500 by rapaljer(4667) on 2010-05-25 15:43:12 (Show Source):
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Angles/308368: The supplement of and angle measures 40 degrees more than twice its compliment.
1 solutions
Answer 220474 by rapaljer(4667) on 2010-05-25 12:29:02 (Show Source):
You can put this solution on YOUR website!Find the angle???
Let x= the angle
90-x= the complement
180-x= the supplement
The equation is
180-x=2(90-x)+40
180-x=180-2x+40
-x=-2x+40
Add +2x to each side:
-x+2x=-2x+2x+40
x=40
Dr. Robert J. Rapalje, Retired
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