Question about SoftMath Algebrator - Algebra Homework Solver (689076614429)

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Algebra Tara plans to take a bath, but forgets to close the drain. The bath usually takes 10 minutes to fill and 12 minutes to empty. how long will it be before the bath is filled if Tara continues not to notice that the drain is open?

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59.88 MINUTES.

Example assume tub is 10 gallons.

10 minutes to fill is 1 gal/minute
10 gallons drain in 12 minutes =10/12=.833 Gal/Minute.

1 Gal/Min - .833 gal/min= .167 gal/min gain in water/min.

10 Gal/.167=59.88 minutes.

Posted on May 13, 2008

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How do solve if X=1/x and Y=1/y, 12/x-12/y=7


There are no solutions.

x = 1/x
multiply both sides by x: x^2 = 1
take the square root of both sides x = sqrt(1)
this gives x = 1 or x = -1
similarly, y = 1 or y = -1

12x = 12 or 12x = -12
12y = 12 or 12y = -12

subtracting 12y from 12x can only give 24, 0, or -24, never 7.

Nov 18, 2014 | SoftMath Algebrator - Algebra Homework...

1 Answer

How do solve if X=1/x and Y=1/y, 12/x-12y=7


There are no solutions.

x = 1/x
multiply both sides by x: x^2 = 1
take the square root of both sides x = sqrt(1)
this gives x = 1 or x = -1
similarly, y = 1 or y = -1

12x = 12 or 12x = -12
12y = 12 or 12y = -12

subtracting 12y from 12x can only give 24, 0, or -24, never 7.

Nov 18, 2014 | SoftMath Algebrator - Algebra Homework...

1 Answer

How do solve the problem, if X=1/x and Y=1/y, solve 12/x-12/y=7?


There are no solutions.

x = 1/x
multiply both sides by x: x^2 = 1
take the square root of both sides x = sqrt(1)
this gives x = 1 or x = -1
similarly, y = 1 or y = -1

12x = 12 or 12x = -12
12y = 12 or 12y = -12

subtracting 12y from 12x can only give 24, 0, or -24, never 7.

Nov 18, 2014 | SoftMath Algebrator - Algebra Homework...

1 Answer

What is the surface area and volume for 14ft 12ft 3ft?


If that is a right rectangular prism
Volume =14*12*3 c.f.
For the area here is the formula.
Total area of right rectangular prism =2*A_b +P_b*h
A_b= area of base (take 14*12 feet squares)
P_b is perimeter of base (14+12)*2 =52 ft.
h is the height (3 ft)
Lateral area =P_b*h=52*3 feet square
Add all areas.

Mar 05, 2013 | SoftMath Algebrator - Algebra Homework...

1 Answer

Write an equation of the line in standard form that pass through (-5,-11) and 10,7)


Calcualte the slope of the line as
a=(7-(-11))/(10-(-5))=18/15=6/5
Use the fact that the line passes through one of the two points, for example (10,7)
7=(6/5)*10+b=12+b
Obtain b as b=7-12=-5
The equation of the line in functional form is y=(6/5)x-5
Multiply everything by 5 to clear the fraction
5y=6x-25 or 0=6x-5y-25
Finally, the equation in general form (standard?) is 6x-5y-25=0.

Check the calculation by verifying that the point (10,7) lies on the line.
6(10)-5(7)-25=60-35-25=60-60=0 CHECKed!
Check that the second point (-5,-11) lies on the line also (if you want to)
6*(-5)-5*(-11)-25=-30+55-25=0
That checks OK.

Dec 04, 2011 | Super Tutor Pre Algebra (ESDPALG)

1 Answer

Give some example of math equation?


The following are examples of expressions:
2
x
3 + 7
2 × y + 5
2 + 6 × (4 - 2)
z + 3 × (8 - z)
Example:
Roland weighs 70 kilograms, and Mark weighs k kilograms. Write an expression for their combined weight. The combined weight in kilograms of these two people is the sum of their weights, which is 70 + k.
Example:
A car travels down the freeway at 55 kilometers per hour. Write an expression for the distance the car will have traveled after h hours. Distance equals rate times time, so the distance traveled is equal to 55 × h..
Example:
There are 2000 liters of water in a swimming pool. Water is filling the pool at the rate of 100 liters per minute. Write an expression for the amount of water, in liters, in the swimming pool after m minutes. The amount of water added to the pool after m minutes will be 100 liters per minute times m, or 100 × m. Since we started with 2000 liters of water in the pool, we add this to the amount of water added to the pool to get the expression 100 × m + 2000.
To evaluate an expression at some number means we replace a variable in an expression with the number, and simplify the expression.
Example:
Evaluate the expression 4 × z + 12 when z = 15.
We replace each occurrence of z with the number 15, and simplify using the usual rules: parentheses first, then exponents, multiplication and division, then addition and subtraction.
4 × z + 12 becomes
4 × 15 + 12 =
60 + 12 =
72
Example:
Evaluate the expression (1 + z) × 2 + 12 ÷ 3 - z when z = 4.
We replace each occurrence of z with the number 4, and simplify using the usual rules: parentheses first, then exponents, multiplication and division, then addition and subtraction.
(1 + z) × 2 + 12 ÷ 3 - z becomes
(1 + 4) × 2 + 12 ÷ 3 - 4 =
5 × 2 + 12 ÷ 3 - 4 =
10 + 4 - 4 =
10.

hope that help you

Jun 22, 2011 | LeapFrog Turbo Twist Math Cartridge 5th...

1 Answer

I need assistance understanding this algebra equation and the steps to solve it. 7+(9-5x)=5(2-x)


this is a simple algebraic equation in which we have to calculate the value of 'x' using simple operations

7+(9-5x)=5(2-x)


step 1(pen the brackets) 7+9-5x=10-5x
step 2(add 7 and 9) 16-5x=10-5x

now as 5x gets cancelled both the sides of the equal sign therefore no solution of this algebraic equation exist.

Mar 24, 2011 | MathRescue Word Problems Of Algebra Lite

1 Answer

X+y=10 x-y=2 use elimination


  • The 1st equation contains a ‘+y’, while the 2nd contains a ‘-y’ term. they will cancel if added together, so we will add the equations to eliminate ‘y’.
  • x-y=2
  • x+y=10
  • so add them together
  • (x-y)+(x+y)=12
  • 2x = 12
  • X= 12/2 = 6
  • subsitutue for
  • 6+y=10
  • y=10-6=4

  • Answer X = 6 and Y = 4

Apr 11, 2010 | SoftMath Algebrator - Algebra Homework...

1 Answer

Sequences,patterns


A sink is filling at the rate of 1liter in 6seconds.It is draining at the rate of 1liter in 11seconds.How long from the it is emty will it take the sink to fill, if its capacity is 8liters?

Oct 03, 2008 | Bagatrix Algebra Solved! 2005 (105101) for...

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