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# Recent problems solved by 'drj'

drj answered: 1377 problems
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 Exponents-negative-and-fractional/225860: Solve: 1 solutions Answer 168368 by drj(1380)   on 2009-10-13 09:37:35 (Show Source): You can put this solution on YOUR website!Solve: Step 1. Multiply by (a-7)(a+4) to both sides of the equation to get rid of denominators. Step 2. Add 4a-40 to both sides of the equation to get numbers on one side and variables on the other side. Step 3. Divide by 14 to both sides of the equation to get a. Step 4. Check solution with original equation to see if it leads to a true statement. which is a true statement. Step 5. ANSWER is I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Linear-equations/225852: Find the inverse of the given function: f(x)= 3x + 131 solutions Answer 168367 by drj(1380)   on 2009-10-13 09:28:26 (Show Source): You can put this solution on YOUR website!Find the inverse of the given function: f(x)= 3x + 13 Step 1. Let f(x)=y, then y=3x+13. Now solve for x. Step 2. Subtract 13 from both sides of the equation Step 3. Divide by 3 to both sides of the equation where g(y) is the inverse function Step 4. ANSWER the inverse is So check answer with following where we substitute f(x) into g(y). Then, which is true that . I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Linear-equations/225850: 3-2y=9-8y1 solutions Answer 168366 by drj(1380)   on 2009-10-13 09:14:35 (Show Source): You can put this solution on YOUR website! Step 1. Add 8y to both sides of the equation to get numbers on one side and variables on the right. Step 2. Subtract 3 from both sides of the equation to isolate y-term. Step 3. Divide by 6 to both sides of the equation Step 4. Check solution with original equation to see if it leads to a true statement. which is a true statement Step 5. ANSWER: Solution is . I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Linear-equations/225849: 4x+6=18-2x1 solutions Answer 168365 by drj(1380)   on 2009-10-13 09:10:16 (Show Source): You can put this solution on YOUR website! Step 1. Add 2x to both sides of the equation to get numbers on one side and variables on the right. Step 2. Subtract 6 from both sides of the equation to isolate x-terms. Step 3. Divide by 6 to both sides of the equation Step 4. Check solution with original equation to see it leads to true statement. which is a true statement Step 5. ANSWER: Solution is . I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Linear-equations/225847: 3m+37=8m-31 solutions Answer 168363 by drj(1380)   on 2009-10-13 09:00:14 (Show Source): You can put this solution on YOUR website! Step 1. Subtract 3m from both sides of the equation to get numbers on one side and variables on the right. Step 2. Add 3 to both sides of the equation to isolate m-terms. Step 3. Divide by 5 to both sides of the equation Step 4. Check solution with original equation to see it leads to true statement. which is a true statement Step 5. ANSWER: Solution is . I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Travel_Word_Problems/225824: If I were traveling at 253 mph, how many feet will I travel in 1 second?1 solutions Answer 168362 by drj(1380)   on 2009-10-13 08:55:27 (Show Source): You can put this solution on YOUR website!If I were traveling at 253 mph, how many feet will I travel in 1 second? Step 1. Convert 253 mph to feet/sec. Step 2. 5280 feet = 1 mile Step 3. 1 hour = 60 minutes = 60 minutes*60 seconds/minute = 3600 seconds Step 4. Note the units of miles and hours cancel they these units appear both in the numerator and denominator. Step 5. ANSWER: Since , then in 1 second you travel 371.1 feet. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
Polynomials-and-rational-expressions/225834: 25y^2+20y+4=0
1 solutions

Answer 168361 by drj(1380)   on 2009-10-13 08:45:40 (Show Source):
You can put this solution on YOUR website!

Step 1. Use quadratic formula given below to solve problem.

where a=25, b=20 and c=4.

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=0 is zero! That means that there is only one solution: . Expression can be factored: Again, the answer is: -0.4, -0.4. Here's your graph:

Step 2. ANSWER: Solutions are -0.4 and -0.4

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

 Complex_Numbers/225825: 8x+5=3x+351 solutions Answer 168360 by drj(1380)   on 2009-10-13 08:41:02 (Show Source): You can put this solution on YOUR website! Step 1. Subtract 3x from both sides of the equation to isolate numbers on one side and variables on the other side Step 2. Subtract 5 from both of the equation to isolate the x-terms. Step 3. Divide by 5 to both side of the equation to get x Step 4. Check with original equation for a true statement. which is a true statement Step 5. ANSWER: Solution is . I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Evaluation_Word_Problems/225598: One number exceeds another number by 32. The sum of the numbers is 82. What are the numbers?1 solutions Answer 168281 by drj(1380)   on 2009-10-12 18:47:32 (Show Source): You can put this solution on YOUR website!One number exceeds another number by 32. The sum of the numbers is 82. What are the numbers? Step 1. Let n be one number Step 2. Let n+32 be the other number since it exceeds the number n by 32. Step 3. Then n+n+32=82 since the sum of the numbers is 82. Step 4. Solving will yield the following steps Subtract 32 from both sides of the equation Divide by 2 to both sides of the equation Then Step 5. ANSWER: The numbers are 25 and 57. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 logarithm/225565: A car depreciates by 30% the first year and 12% per year afterward. How much will a \$25000 car be worth after 5 years?1 solutions Answer 168280 by drj(1380)   on 2009-10-12 18:43:23 (Show Source): You can put this solution on YOUR website!A car depreciates by 30% the first year and 12% per year afterward. How much will a \$25000 car be worth after 5 years? Step 1. 30% means 0.30 and 12% means 0.12. Step 2. Let the initial price of car. Step 3. Let be dollar value of car after first year. Step 4. Let be dollar value of car after second year. Also, after third year Step 5. Then be the dollar value of car after 5 years. Step 6. ANSWER: The dollar value of the car after 5 years is \$10,494.67. I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
Numbers_Word_Problems/225261: find 2 consecutive integers such that three times the square of the first is equal to seven more than five times the second.
what is the answer?

1 solutions

Answer 168275 by drj(1380)   on 2009-10-12 18:22:41 (Show Source):
You can put this solution on YOUR website!
Find 2 consecutive integers such that three times the square of the first is equal to seven more than five times the second.
What is the answer?

Step 1. Let be the first integer.

Step 2. Let be the next consecutive integer

Step 3. Let be three times the square of the first.

Step 4. Let be seven more than five times the second.

Step 5. Then since three times the square of the first is equal to seven more than five times the second.

Step 6. Solving the equation in Step 5 yields the following steps.

Subtract 5n+12 from both sides of the equation

Step 7. To solve use the quadratic equation given as

where a=3, b=-5, and c=-12

 Solved by pluggable solver: SOLVE quadratic equation with variable Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=16 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 3, -1. Here's your graph:

With n=3 then n+1=4. Check if true so or which is a true statement.

With n=-1 then n+1=0 Check if true so or which is not a true statement.

Step 8. ANSWER: The numbers are 3 and 4

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

Problems-with-consecutive-odd-even-integers/225514: find three consecutive even integers such that the sum of the first interger is three times the thrid integer is 64 more that the second integer
1 solutions

Answer 168252 by drj(1380)   on 2009-10-12 17:53:45 (Show Source):
You can put this solution on YOUR website!
Find three consecutive even integers such that the sum of the first integer and three times the third integer is 64 more than the second integer.

Step 1. Let n be the first even integer.

Step 2. Let n+2 and n+4 be the next two consecutive even integers.

Step 3. Let 3(n+4) be three times the third integer.

Step 4. Let n+3(n+4) be the sum of the first integer and 3 times the third integer

Step 5. Let n+2+64=n+66 be 64 more than the second integer.

Step 6. Then, n+3(n+4)=n+66 since the sum of the first integer and three times the third integer is 64 more than the second integer

Step 7. Solving yields the following steps

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: n=18. Graphical form: Equation was fully solved.Text form: n+3*(n+4)=n+66 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( n+3*(n+4)=n+66 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Moved these terms to the left ,
It becomes .

Look at .
Eliminated similar terms , replacing them with
It becomes .

Look at .
Since has zero as a factor, it should be replaced with a zero

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove extraneous zero
It becomes .

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
It becomes .

Look at .
Solved linear equation equivalent to 3*n-54 =0
It becomes .
Result:
This is an equation! Solutions: n=18.

### Universal Simplifier and Solver

Done!

With n=18, then n+2=20 and n+4=22

Check equation in Step 6: n+3(n+4)=n+66...18+3*22=18+66 or 84=84...which is a true statement.

Step 8 The three consecutive even integers are 18, 20, and 22.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

Coordinate-system/225491: Find The Equation Of The Line That Passes Through (4,6) And Is Parallel To The Line That Passes Through (6,-6) And (10,-4)?
1 solutions

Answer 168230 by drj(1380)   on 2009-10-12 16:55:53 (Show Source):
You can put this solution on YOUR website!
Find The Equation Of The Line That Passes Through (4,6) And Is Parallel To The Line That Passes Through (6,-6) And (10,-4)?

Step 1. We'll put the equation of the line in slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b). Also we know that parallel lines have the same slope. So let's find the slope of the line passing through the point (6,-6) and (10,-4)

Given two points (x1,y1) and (x2,y2), then the slope m is given as

Step 2. Now we have to find the line with slope going through point (4,6).

Step 3. As mentioned earlier, given two points (x1,y1) and (x2,y2), then the slope m is given as

Step 4. Let (x1,y1)=(4,6) or x1=4 and y1=6. Let other point be (x2,y2)=(x,y) or x2=x and y2=y.

Step 5. Now we're given . Substituting above values and variables in the slope equation m yields the following steps:

Step 6. Multiply x-4 to both sides to get rid of denominator on right side of equation.

Step 7. Add 6 to both sides of the equation

Step 7. ANSWER: The equation in slope-intercept form is where the slope and the y-intercept b=4.

Note: the above equation can be rewritten in standard form as

And the graph is shown below which is consistent with the above steps.

 Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc Equation describes a sloping line. For any equation ax+by+c = 0, slope is .X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/-1 = -8.Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/2 = 4.Slope is --1/2 = 0.5. Equation in slope-intercept form: y=0.5*x+4.

I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV

 Expressions-with-variables/225484: 12=3x-x+4x1 solutions Answer 168226 by drj(1380)   on 2009-10-12 16:44:27 (Show Source): You can put this solution on YOUR website! Step 1. Add the x-terms Step 2. Divide by 6 to both sides of the equation Step 3. ANSWER: The solution is I hope the above steps and explanation were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Rectangles/225485: what is the perimeter of a square whose one side is 3/41 solutions Answer 168221 by drj(1380)   on 2009-10-12 16:39:03 (Show Source): You can put this solution on YOUR website!What is the perimeter of a square whose one side is 3/4 Step 1. Perimeter P means adding 4 sides of the square where we define s as the length of the square's side. Step 2. Step 3. ANSWER: I hope the above steps and explanation were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Equations/225473: b+24=19 1 solutions Answer 168214 by drj(1380)   on 2009-10-12 16:19:39 (Show Source): You can put this solution on YOUR website! Step 1. Subtract 24 from both sides of the equation. Step 2. ANSWER: I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. Good luck in your studies! Respectfully, Dr J
 Graphs/225449: find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard form.1 solutions Answer 168210 by drj(1380)   on 2009-10-12 15:56:11 (Show Source): You can put this solution on YOUR website!Find the equation of the line that has a slope of -8 and passes through the point (-1,-5) write the equation in standard form. Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b). From the slope intercept form we can derive the standard form given as Ax+By=C where A, B, and C are constants. Now, let's find the equation of the line in slope-intercept form Step 2. Here, we have to find the line with slope m=-8 going through point (-1,-5). Step 3. Given two points (x1,y1) and (x2,y2), then the slope m is given as Step 4. Let (x1,y1)=(-1,-5) or x1=-1 and y1=-5. Let other point be (x2,y2)=(x,y) or x2=x and y2=y. Step 5. Now we're given . Substituting above values and variables in the slope equation m yields the following steps: Step 6. Multiply x+1 to both sides to get rid of denominator on right side of equation. Step 7. Add -5 to both sides of the equation Step 7. The equation in slope-intercept form is where the slope m=-8 and the y-intercept b=-13. Note: the above equation can be rewritten in standard form by adding 8x to both sides of the equation. Step 8. ANSWER: The equation of the line in standard form is . And the graph is shown below which is consistent with the above steps. I hope the above steps and explanation were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Numbers_Word_Problems/225424: Translate but do not solve. The sum of negative 6 and twice a number is equal to negative 43.1 solutions Answer 168206 by drj(1380)   on 2009-10-12 15:43:23 (Show Source): You can put this solution on YOUR website!Translate but do not solve. The sum of negative 6 and twice a number is equal to negative 43. Step 1. Let x be a number. Step 2. Let 2x be twice a number. Step 3. Let -6+2x be the sum of negative 6 and twice a number Step 4. ANSWER: Then, -6+2x=-43 since the sum of negative 6 and twice a number is equal to negative 43. I hope the above steps were helpful. For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J drjctu@gmail.com http://www.FreedomUniversity.TV http://www.Facebook.com/FreedomUniversity.TV http://www.Twitter.com/FreedomUTV
 Expressions-with-variables/225433: 2r-5+6r1 solutions Answer 168202 by drj(1380)   on 2009-10-12 15:34:54 (Show Source): You can put this solution on YOUR website! Combine the like terms ANSWER: I hope the above steps were helpful. For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J drjctu@gmail.com http://www.FreedomUniversity.TV http://www.Facebook.com/FreedomUniversity.TV http://www.Twitter.com/FreedomUTV
 Graphs/225320: How do I solve and graph for x intercept and y intercept the following equation: y = -x ? Thanks!!1 solutions Answer 168148 by drj(1380)   on 2009-10-12 11:51:28 (Show Source): You can put this solution on YOUR website!How do I solve and graph for x intercept and y intercept the following equation: y = -x ? Thanks!! Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b). Step 2. Comparing with we have the slope m=-1 and b=0. Step 3. To graph to get the y-intercept we set x=0 and in this case y=b=0. Step 4. To get the x-intercept we set y=0 and again in this case x=0. So we have (0,0) as a point. Since the x-intercept and y-intercept are the same then we need another point. Say at x=1 then y=-1 so (1,-1) is a point on the line. We can use these two points (0,0) and (1,-1) to plot the line. Step 5. Another way to graph: With the slope m=-1 then for every unit you go to the right you go one unit down. You get the same result (1,-1) or from (1,-1) you get (2,-2) as another point on the line. Step 6. Here's the graph, I hope the above steps were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
 Distributive-associative-commutative-properties/225239: factor by grouping: x^2+2xy+3x+6y1 solutions Answer 168135 by drj(1380)   on 2009-10-12 10:34:40 (Show Source): You can put this solution on YOUR website!Factor by grouping: Step 1. Factor out x in the first two terms and factor out 3 in the last two terms: Step 2. The factor is common to both groups in parenthesis, so factor that out. Step 3. ANSWER: I hope the above steps were helpful. For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J drjctu@gmail.com http://www.FreedomUniversity.TV http://www.Facebook.com/FreedomUniversity.TV http://www.Twitter.com/FreedomUTV
Linear-equations/225266: The perimeter of rectangular poster is 80 inch. The length is 10 inches greater than the width. Find the length.
1 solutions

Answer 168134 by drj(1380)   on 2009-10-12 10:29:09 (Show Source):
You can put this solution on YOUR website!
The perimeter of rectangular poster is 80 inch. The length is 10 inches greater than the width. Find the length.

Step 1. The perimeter P means adding up all the four sides of a rectangle.

Step 2. Let w be the width.

Step 3. Let w+10 be the length since the length is 10 inches greater than the width

Step 4. Then, P=w+w+w+10+w+10=80.

Step 5. Solving yields the following steps

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: w=15. Graphical form: Equation was fully solved.Text form: w+w+w+10+w+10=80 simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( w+w+w+10+w+10=80 )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Added fractions or integers together
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Eliminated similar terms ,,, replacing them with
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
It becomes .

Look at .
Solved linear equation equivalent to 4*w-60 =0
It becomes .
Result:
This is an equation! Solutions: w=15.

### Universal Simplifier and Solver

Done!

For w=15 , then w+10=25 and P=2(15+25)=80 which is a true statement.

Step 6. ANSWER: The length is 25 inches.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J

drjctu@gmail.com

http://www.FreedomUniversity.TV

 Probability-and-statistics/225128: If two events A and B are independent and you know that P(A) = 0.75, what is the value of P(A | B)? 1 solutions Answer 168080 by drj(1380)   on 2009-10-11 22:00:55 (Show Source): You can put this solution on YOUR website!If two events A and B are independent and you know that P(A) = 0.75, what is the value of P(A | B)? Step 1. P(A|B)=P(A) since A and B are independent. It doesn't matter what the event B is the probability of P(A|B) will equal P(A). Step 2. ANSWER: P(A|B)=P(A)=0.75 I hope the above steps and explanation were helpful. For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry. And good luck in your studies! Respectfully, Dr J http://www.FreedomUniversity.TV
Geometry_Word_Problems/225160: 10. Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B.
1 solutions

Answer 168078 by drj(1380)   on 2009-10-11 21:57:10 (Show Source):
You can put this solution on YOUR website!
Angles A and B are supplementary angles and angle A is 2⁰ more than 4 times angle B. Find the measures of angle A and angle B.

Step 1. Supplementary angles means two angles add up to 180 degrees.

Step 2. Let A be one angle.

Step 3. Let B=180-A be its supplementary angle.

Step 4. Let A=2+4(180-A) since angle A is 2 degrees more than 4 times angle B=180-A.

Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: A=144.4. Graphical form: Equation was fully solved.Text form: A=2+4*(180-A) simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( A=2+4*(180-A) )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Moved to the right of expression
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Moved these terms to the left ,
It becomes .

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
It becomes .

Look at .
Eliminated similar terms , replacing them with
It becomes .

Look at .
Added fractions or integers together
It becomes .

Look at .
Remove unneeded parentheses around factor
It becomes .

Look at .
Solved linear equation equivalent to 5*A-722 =0
It becomes .
Result:
This is an equation! Solutions: A=144.4.

### Universal Simplifier and Solver

Done!

With A=144.4 then B=180-144.4=35.6 so check if equation in Step 4 is true... 144.4=2+4(35.6)...which it is.

Step 5. ANSWER: Angle A is 144.4 degrees and angle B is 35.6 degrees.

I hope the above steps and explanation were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV