Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'unlockmath'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619, >>Next

 Complex_Numbers/697491: (3+4i)/(2+3i)1 solutions Answer 430165 by unlockmath(1599)   on 2012-12-31 21:04:04 (Show Source): You can put this solution on YOUR website!Hello, For this: (3+4i)/(2+3i) Multiply it by (2-3i)/2-3i)and we get: (6-i-12i^2)/(4+9i^2) i^2=-1 Therefore: (6-i +12)/(4-9) rewritten: (6i+12)/-5 or -(6i+12)/5 Make sense? RJ www.math-unlock.com
 test/697570: I am having problems with dividing polynomial problems. Can ya help?1 solutions Answer 430163 by unlockmath(1599)   on 2012-12-31 20:48:27 (Show Source): You can put this solution on YOUR website!Hello, Check out this website: http://www.purplemath.com/modules/polydiv2.htm RJ www.math-unlock.com
 Volume/697496: a square room with a height of 4 meter has its 4 walls of an area of 96 sq meters. what is the dimension of the room1 solutions Answer 430161 by unlockmath(1599)   on 2012-12-31 20:45:49 (Show Source): You can put this solution on YOUR website!Hello, One wall has a width of 4 meters. Why? Because 4*6=24 sq meters of one wall so 4 times 24 = 96 sq meters Now we know the the dimensions are: 6 meters by 6 meters by 4 meters Make sense? RJ www.math-unlock.com
 Expressions-with-variables/697602: the cost of 4 pairs of shoes and 6 pairs of sneakers is \$64. If the price of the shoes were increased by 10% and that of the sneakers by 5%, the total cost would be \$69.80. find the original price of a pair of shoes.1 solutions Answer 430159 by unlockmath(1599)   on 2012-12-31 20:34:25 (Show Source): You can put this solution on YOUR website!Hello, Let's set up two equations with x represents the cost of shoes and y represents cost of sneakers: 4x+6y=64 [1.10(4x)+1.05(6y)=69.80] Multiply the second equation by 100 to get: 110(4x)+105(6y)=6980 Expand this to: 440x+630y=6980 Now take the first equation multiply it by -110 to get: -440x-660y=-7040 Add this equation to the second to get: -30y=-60 Divide by -30 to get: y=2 x=13 So a pair of shoes cost \$13, pretty cheap, huh? Make sense? RJ www.math-unlock.com
 percentage/697425: what is a 20% discount off of \$945.00 ?1 solutions Answer 429972 by unlockmath(1599)   on 2012-12-30 15:54:54 (Show Source): You can put this solution on YOUR website!Hello, (Hint: once we understand the meaning of "off of" then the problem is simple. So multiply: .20 * 945 = \$189 This is the money we save on the discount. We can go a step further and find the price we'll pay: Now subtract this from the total: \$756.00 RJ
 Length-and-distance/697379: Which is a equation of a line parallel to the line whose equation is 3y=2x+3 A. 3y=-2x+1 B.y=2/3x+3 C.y=3/2x-3 D.2y=2x+3 1 solutions Answer 429971 by unlockmath(1599)   on 2012-12-30 15:46:35 (Show Source): You can put this solution on YOUR website!Hello, Couple ways to solve this: Put 3y=2x+3 in Slope-intercept form as: y=2/3x+1 Now that we know the slope of the line is 2/3, that gives us only one equation the has the same slope: B.y=2/3x+3 Make sense? RJ www.math-unlock.com
 Geometry_Word_Problems/697103: The lenghts of the sides of a tringle are consecutive odd numbers. Find the lenghts of the sides if the perimeter is 7cm less than 4 times the shortest sides? 1 solutions Answer 429662 by unlockmath(1599)   on 2012-12-28 00:21:39 (Show Source): You can put this solution on YOUR website!Hello, Let x represent an odd number. Next is x+2 and x+4. Now we can set up an equation as: x+x+2+x+4=4x-7 Solve: 3x+6=4x-7 Subtract 3x and add 7 to get: 13=x Now we know the sides are: 13 cm 15 cm 17 cm Make sense? RJ www.math-unlock.com
 Numeric_Fractions/696974: please help me solve this fraction: 15 7/8 - 3/9. my solution: 15 7/8 (9/9) - 3/9 (8/8)= 15 63/72 - 24/72= 15 39/72.... now I'm stuck. please help!1 solutions Answer 429555 by unlockmath(1599)   on 2012-12-26 22:47:18 (Show Source): You can put this solution on YOUR website!Hello, For this, we should: reduce the fraction by dividing by 3: 15 13/24 Make sense? RJ www.math-unlock.com
 Linear-equations/696230: 7（n-2）=2n+61 solutions Answer 428875 by unlockmath(1599)   on 2012-12-20 15:56:22 (Show Source): You can put this solution on YOUR website!Hello, First expand this 7（n-2）=2n+6 to: 7n-14=2n+6 Now add 14 and subtract 2n to get: 5n=20 Divide by 5: n=4 Make sense? RJ www.math-unlock.com
 test/696042: Car travels 70.5 miles on 3gal of gas. Find the distance that the car travel on 14 gal of gas1 solutions Answer 428755 by unlockmath(1599)   on 2012-12-19 19:37:04 (Show Source): You can put this solution on YOUR website!Hello, Let's use proportions for this problem. 70.5/3 = x/14 Cross multiply: 3x = 987 Divide by 3: 329 miles Make sense? RJ www.math-unlock.com
 Angles/695955: Two vertical angles measure 2x-12 and 5x-12. Find the size of one of these vertical angles1 solutions Answer 428720 by unlockmath(1599)   on 2012-12-19 15:15:48 (Show Source): You can put this solution on YOUR website!Hello, Since vertical angles equal each other we can set up the following: 2x-12 = 5x-12 Add 12 and subtract 2x to get: 0 = 3x Divide 3 and we get: x=0 degrees RJ www.math-unlock.com
 Word_Problems_With_Coins/695616: how many nickles and quaters are in 5.80 if there are 60 coins?1 solutions Answer 428565 by unlockmath(1599)   on 2012-12-18 15:08:12 (Show Source): You can put this solution on YOUR website!Hello, Let's have N represent nickles and Q be quarters so we can set up 2 equations: N + Q = 60 or can be written as: N= 60-Q .05N +.25Q = 5.80 With me so far? Let's get rid of the decimals by multiplying by 100: 5N + 25Q = 580 Now, let's use substitution: 5(60-Q)+25Q=580 Expand: 300-5Q+25Q=580 Subtract 300: 20Q=280 Divide by 20: Q=14 So we know that there are 14 quarters and 46 nickles. Make sense? RJ www.math-unlock.com
 Percentage-and-ratio-word-problems/695215: 28 1/2 : 10 1/4 Put this ratio as a fraction in simplest form1 solutions Answer 428373 by unlockmath(1599)   on 2012-12-17 15:10:36 (Show Source): You can put this solution on YOUR website!Hello, We can make this 28 1/2 : 10 1/4 as: 57/2 / 41/4 Now we can multiply it as: 57/2 * 4/41 228/82 = 114/41 or written as: 2 32/41 Make sense? RJ www.math-unlock.com
 Linear-systems/694791: state whether the equation is linear or not 2x+y=111 solutions Answer 428199 by unlockmath(1599)   on 2012-12-16 12:35:25 (Show Source): You can put this solution on YOUR website!Hello, It's linear. (Hint: Look at the word linear. Drop the last two letters -ar and what word is it? Line) Equations with 2 variables (for example x & y)that are not to a power (like x^2) are all linear equations. They all form a straight line when graphed. Make sense? RJ www.math-unlock.com
 Percentage-and-ratio-word-problems/694456: i need help in this question that i have. Can you please help. it says: A car travels 440 miles in 8 hours. Write and solve a proportion to determine the average speed of the car.1 solutions Answer 427948 by unlockmath(1599)   on 2012-12-14 22:19:43 (Show Source): You can put this solution on YOUR website!Hello, We know speed equals miles divided by time. So we can plug in the values and solve: 440/8 = 55 miles per hour To set this up as a proportion: 440/8 = x/1 hour Cross multiply: 440=8x Divide by 8 and we get: 55 mph Make sense? RJ www.math-unlock.com
 Rectangles/694465: A rectangle has an area of 54 feet. The length of the rectangle is three feet more than twice the width. Use factoring method to determine the length and width of the rectangle1 solutions Answer 427947 by unlockmath(1599)   on 2012-12-14 22:12:30 (Show Source): You can put this solution on YOUR website!Hello, Let width be represent by x and length be 3+2x. The equation would look like this: 2x+2(3+2x)=54 Rewritten as: 2x+6+4x=54 6x=48 x=8 Now we know the width is: 8 feet Length is: 19 feet Got it? RJ www.math-unlock.com
 Finance/694460: I am looking to go back to college and I have been out of Math for about 10 years. Needless to say I have forgotten how to do a lot of it. Do you have any good ideas on what I should do to get back into quick as there is a lot of material. 1 solutions Answer 427946 by unlockmath(1599)   on 2012-12-14 22:07:10 (Show Source): You can put this solution on YOUR website!Hello, Check out my website www.math-unlock.com I wrote a book on the basics of math that is not found in math books. It's the rock bottom of math and gives a great foundation to jump back into the vast subject. RJ
 Equations/694462: The length of a rectangle is 4cm more than twice the width. The perimeter is 92cm. What are the dimensions of the rectangle? 1 solutions Answer 427945 by unlockmath(1599)   on 2012-12-14 22:05:03 (Show Source): You can put this solution on YOUR website!Hello, Let width be represented by x and length be represented by: 4+2x Now we can set up the equation as: 2x+2(4+2x)=92 2x+8+4x=92 6x=84 x=14 Now we know what x is so plug in the value to each side: Width is 14 cm Length is 32 cm Make sense? RJ www.math-unlock.com
 test/694463: 4+2(5 -3)1 solutions Answer 427944 by unlockmath(1599)   on 2012-12-14 21:59:04 (Show Source): You can put this solution on YOUR website!Hello, This one 4+2(5 -3) we first handle inside the parenthesis: 4+2(2) Now multiply and then add: 8 Make sense? RJ www.math-unlock.com
 Graphs/694427: how do you do 3y-12x+6=01 solutions Answer 427894 by unlockmath(1599)   on 2012-12-14 17:46:31 (Show Source): You can put this solution on YOUR website!Good question--how? I'm being snide. What is it you need with this? we need clearer instructions or we can't help you.
 Linear_Equations_And_Systems_Word_Problems/694021: The sum of two number is 1. Four times the first number equals 2 times the second number. Find the two numbers.1 solutions Answer 427699 by unlockmath(1599)   on 2012-12-13 17:30:34 (Show Source): You can put this solution on YOUR website!Hello, Let's use x & y for the unknowns for the 2 equations: x + y = 1 4x = 2y Let's use substitution: x=1-y Plug this into the second equation: 4(1-y)=2y Expand: 4-4y=2y Add 4y and divide by 6 toget: y= 4/6 or 2/3 So we know from the first equation: x= 1/3 Make sense? RJ www.math-unlock.com
 Complex_Numbers/694039: -1/3 (Square root symbol) -90 How do I put that in terms of i?1 solutions Answer 427698 by unlockmath(1599)   on 2012-12-13 17:25:05 (Show Source): You can put this solution on YOUR website!Hello, Here it is: 1/3 i sq rt 90 RJ
 Exponents-negative-and-fractional/693888: What is the answer to 8/7 to the 4th power multiplied by 8 to the 3rd power1 solutions Answer 427613 by unlockmath(1599)   on 2012-12-13 11:34:28 (Show Source): You can put this solution on YOUR website!Hello, Answer: 873.449 (rounded off) Best to use scientific calculator RJ www.math-unlock.com
 Travel_Word_Problems/693778: How far could Jim run if he ran 20 mph for 10 min1 solutions Answer 427598 by unlockmath(1599)   on 2012-12-13 10:21:46 (Show Source): You can put this solution on YOUR website!Hello, Let's first change 10 minutes to an hour. This would be 10/60 or 1/6 hour. Now we can solve this problem. If the person can run 20 miles in one hour. (20 mph) Then multiply 1/6 * 20 and we get: 20/6 or 3 1/3 miles Make sense? RJ www.math-unlock.com
 Geometry_Word_Problems/693464: Find the area of an equilateral triangle given a side length of 8 in.1 solutions Answer 427424 by unlockmath(1599)   on 2012-12-12 14:51:10 (Show Source): You can put this solution on YOUR website!Hello, First, let's find the height by using: A^2+4^2=8^2 Rewritten as: A^2=48 A=sq rt 48 Now we can use the area of a triangle: 1/2*4*sq rt 48 to get: 2 sq rt 48 or rewritten as: 4 sq rt 12 square inches make sense? RJ www.math-unlock.com
 Proportions/693051: is 0.45 greater or less than 40.5%1 solutions Answer 427228 by unlockmath(1599)   on 2012-12-11 18:15:32 (Show Source): You can put this solution on YOUR website!Hello, Here's a hint. When we remove the % sign move the decimal 2 spaces to the left. So 40.5% would look like this: .405 Now you can figure it out. Got it? RJ www.math-unlock.com
 Travel_Word_Problems/692315: Bill can mow a lawn in 1 1/2 hours with a riding lawn mower. Joe can mow it in 2 1/2 hours with a push mower. How long should it take to do the job if they work together? (HINT: Rates add. Rate(Bill) + Rate(Joe) = Rate(together) and rate is amount mowed divided by time taken.)1 solutions Answer 426967 by unlockmath(1599)   on 2012-12-10 12:00:09 (Show Source): You can put this solution on YOUR website!Hello, We can use the following equation: x/1.5 + x/2.5 = 1 Multiply by 15 to get: 10x + 6x = 15 Combine and divide by 16: x= 15/16 of an hour. Make sense? RJ www.math-unlock.com
 Rate-of-work-word-problems/691996: Morgan takes 3 hours to paint a room and Jenae take 5 hours. How long will it take them working together?1 solutions Answer 426906 by unlockmath(1599)   on 2012-12-09 18:34:43 (Show Source): You can put this solution on YOUR website!Hello, We can set this up as: x/3+x/5=1 Multiply by 15: 5x+3x=15 Combine and divide by 5 to get: x=15/8 or 1 7/8 hours Make sense? RJ www.math-unlock.com
 Inequalities/691728: b/4 > -51 solutions Answer 426824 by unlockmath(1599)   on 2012-12-09 10:53:18 (Show Source): You can put this solution on YOUR website!Hello, With this, b/4 > -5 we multiply by 4 to get: b>-20 Make sense? RJ www.math-unlock.com
 Polynomials-and-rational-expressions/691375: does (x/x+1)-(x+1/x-2)=0 ?1 solutions Answer 426662 by unlockmath(1599)   on 2012-12-08 11:31:44 (Show Source): You can put this solution on YOUR website!Hello, With this (x/x+1)-(x+1/x-2)=0 we can multiply by (x+1)(x-2)to get: x(x-2)-(x+1)(x+1)=0 Expand: x^2-2x-x^2-2x-1=0 Combine like terms: -4x-1=0 Add 1 and divide by -4 to get: x=-1/4 Make sense? RJ www.math-unlock.com
 real-numbers/690123: Solve for x Assume that a and b represent positive real numbers. (3x+3b)^2 =3a1 solutions Answer 426164 by unlockmath(1599)   on 2012-12-05 17:03:22 (Show Source): You can put this solution on YOUR website!Hello, First let's square root both sides and we get: 3x+3b =sq rt 3a Now subtract 3b and divide by 3 to get: x = [(sq rt 3a) - 3b]/ 3 Make sense? RJ www.math-unlock.com