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 Linear-systems/624040: 5(3z-1)-3(z+2)=7(z+1) linear equation Help me find the solution Please!!! 1 solutions Answer 392503 by jim_thompson5910(28503)   on 2012-06-26 17:14:39 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is
 logarithm/624043: I was just wanting to double check my work. Write as a single logarithm. = = =1 solutions Answer 392501 by jim_thompson5910(28503)   on 2012-06-26 17:13:55 (Show Source): You can put this solution on YOUR website!You have the correct steps and answer. Very nice work.
 Expressions-with-variables/624052: Solve the formula for the indicated variable. S=L(1-r) ,for r1 solutions Answer 392500 by jim_thompson5910(28503)   on 2012-06-26 17:12:43 (Show Source): You can put this solution on YOUR website! So the solution is
Quadratic-relations-and-conic-sections/624053: x^2+5x-12
HELP!!
1 solutions

Answer 392499 by jim_thompson5910(28503)   on 2012-06-26 17:10:54 (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to factor this.

Looking at the expression , we can see that the first coefficient is , the second coefficient is , and the last term is .

Now multiply the first coefficient by the last term to get .

Now the question is: what two whole numbers multiply to (the previous product) and add to the second coefficient ?

To find these two numbers, we need to list all of the factors of (the previous product).

Factors of :
1,2,3,4,6,12
-1,-2,-3,-4,-6,-12

Note: list the negative of each factor. This will allow us to find all possible combinations.

These factors pair up and multiply to .
1*(-12) = -12
2*(-6) = -12
3*(-4) = -12
(-1)*(12) = -12
(-2)*(6) = -12
(-3)*(4) = -12

Now let's add up each pair of factors to see if one pair adds to the middle coefficient :

First NumberSecond NumberSum
1-121+(-12)=-11
2-62+(-6)=-4
3-43+(-4)=-1
-112-1+12=11
-26-2+6=4
-34-3+4=1

From the table, we can see that there are no pairs of numbers which add to . So cannot be factored.

===============================================================

Answer:

So doesn't factor at all (over the rational numbers).

So is prime.

 Inequalities/623967: 3(x-2) - 2 < x - 5 1 solutions Answer 392458 by jim_thompson5910(28503)   on 2012-06-26 12:30:03 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Combine like terms on the left side. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . ---------------------------------------------------------------------- Answer: So the solution is
 Exponents/623840: Solve the exponential equation 1 solutions Answer 392337 by jim_thompson5910(28503)   on 2012-06-25 23:39:21 (Show Source):
 Equations/623789: I don't know what category this falls under, and I actually don't even know what this is called. All the teacher gave me was 1 solutions Answer 392317 by jim_thompson5910(28503)   on 2012-06-25 19:57:56 (Show Source): You can put this solution on YOUR website!Factor and simplify So simplifies to
 real-numbers/623769: If the numbers 70 and 105 are both multiples of a prime number "n", how many possible values are there for "n"?1 solutions Answer 392303 by jim_thompson5910(28503)   on 2012-06-25 18:26:20 (Show Source): You can put this solution on YOUR website!Simply find the prime factorization of each number and highlight the common primes that both factorizations share.
 Rectangles/623768: Hi, I am reviewing to retake the SAT's and need help with the following problem. If the perimeter of a rectangular property is 46 meters, and the area of the property is 76 meters squared, what is the length of each of the shorter sides? Knowing the steps to take would be very helpful. Thanks!!1 solutions Answer 392300 by jim_thompson5910(28503)   on 2012-06-25 18:20:48 (Show Source): You can put this solution on YOUR website!P = 2L + 2W "If the perimeter of a rectangular property is 46 meters" ---> P = 46 46 = 2L + 2W ------------------------------------------------------- Area = Length * Width A = LW "the area of the property is 76 meters squared" ----> A = 76 76 = LW W = 76/L -------------------------------------------------------------------- 46 = 2L + 2W 46 = 2L + 2(76/L) I'll let you finish up. Let me know if you have any questions or if you still need help. Thanks.
 Equations/619659: a+5=-5a+51 solutions Answer 392290 by jim_thompson5910(28503)   on 2012-06-25 17:36:25 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Add to both sides. Combine like terms on the left side. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/621835: -2(5n+1)=121 solutions Answer 392289 by jim_thompson5910(28503)   on 2012-06-25 17:36:05 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is
 Quadratic_Equations/623713: factor: 5x2 + 12x = 01 solutions Answer 392241 by jim_thompson5910(28503)   on 2012-06-25 13:25:18 (Show Source): You can put this solution on YOUR website!5x^2 + 12x = 0 x(5x + 12) = 0 x = 0 or 5x+12 = 0 I'll let you finish. Let me know if you have any questions.
 percentage/623688: 12 games were won out of 16. What percent of the games were won? My solution: 16-12=4 4/16= 1/4 convert 4/1= .25; therefore they won 25% of their games, but the answer key says that it is 75%. I just want to know if i'm right or wrong; if not please instruct me where the error is; thank you. 1 solutions Answer 392222 by jim_thompson5910(28503)   on 2012-06-25 11:48:39 (Show Source): You can put this solution on YOUR website!Percent of games won = (# of games won)/(# of games total) = 12/16 = 0.75 which converts to 75%
 Probability-and-statistics/623684: Give one reason why the natural numbers {1,2,3,4,5,....} are not a group under addition. please explain1 solutions Answer 392220 by jim_thompson5910(28503)   on 2012-06-25 11:40:52 (Show Source): You can put this solution on YOUR website!The additive identity 0 is NOT in the set above. Also, the additive inverse for each element is not present in the set (eg: the additive inverse of 5, which is -5, is not in the set). So it's not a group for those reasons.
 Polygons/623668: Find the area of a rectangle with length 3cm and width 4.5 cm.1 solutions Answer 392211 by jim_thompson5910(28503)   on 2012-06-25 11:10:47 (Show Source): You can put this solution on YOUR website!Area = Length * Width A = LW A = 3*4.5 A = 13.5 So the area of the rectangle is 13.5 square cm.
 Numeric_Fractions/623659: what is the solution of 1/3(3x+9)-5=41 solutions Answer 392203 by jim_thompson5910(28503)   on 2012-06-25 10:38:12 (Show Source): You can put this solution on YOUR website! Start with the given equation. Distribute. Combine like terms on the left side. Add to both sides. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is
 Equations/623658: 2x + 7= x + 181 solutions Answer 392202 by jim_thompson5910(28503)   on 2012-06-25 10:37:19 (Show Source): You can put this solution on YOUR website! Start with the given equation. Subtract from both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is
 Linear-systems/623610: solve the givennsystem by graphing.Linear Equation in two variables 2y-x=3, 4y=2x+7 1 solutions Answer 392198 by jim_thompson5910(28503)   on 2012-06-25 10:21:21 (Show Source): You can put this solution on YOUR website!Graph the two equations using a graphing calculator to get Notice how the lines are parallel. So they will never cross. This means that there are no solutions.
 Trigonometry-basics/623608: a right trianle has sides a=45 degrees a=3 c=?1 solutions Answer 392197 by jim_thompson5910(28503)   on 2012-06-25 10:19:28 (Show Source): You can put this solution on YOUR website!In a 45-45-90 triangle, if the legs are x units, then the hypotenuse is x*sqrt(2) units. In this case, each leg is 3 units. So the hypotenuse is 3*sqrt(2) So c = 3*sqrt(2)
 Inequalities/623597: what is the solution and graph of 4x - 5 > 3x - 31?1 solutions Answer 392195 by jim_thompson5910(28503)   on 2012-06-25 10:17:35 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Add to both sides. Subtract from both sides. Combine like terms on the left side. Combine like terms on the right side. ---------------------------------------------------------------------- Answer: So the solution is
 Graphs/623594: solve this system by graphing 2y-x=3,4y=2x+7 1 solutions Answer 392194 by jim_thompson5910(28503)   on 2012-06-25 10:16:53 (Show Source): You can put this solution on YOUR website!Graph the two equations using a graphing calculator to get Notice how the lines are parallel. So they will never cross. This means that there are no solutions.
 Geometry_proofs/623645: if angle1+angle2=180. what can be concluded from that statement1 solutions Answer 392193 by jim_thompson5910(28503)   on 2012-06-25 10:14:50 (Show Source): You can put this solution on YOUR website!if angle1+angle2=180, then angles 1 and 2 are supplementary.
 Equations/623535: T = (((X * A * B * (100 - C) / 100) - Y) / Z) ... solve for X Can you help me with the answer? Thank you.1 solutions Answer 392149 by jim_thompson5910(28503)   on 2012-06-24 22:15:26 (Show Source): You can put this solution on YOUR website!T = (((X * A * B * (100 - C) / 100) - Y) / Z) ZT = (X * A * B * (100 - C) / 100) - Y ZT + Y = (X * A * B * (100 - C) / 100) 100*(ZT + Y) = X * A * B * (100 - C) 100ZT + 100Y = X * A * B * (100 - C) (100ZT + 100Y)/(A * B * (100 - C)) = X X = (100ZT + 100Y)/(A * B * (100 - C))
 Probability-and-statistics/623524: 5. There are 15 males and 10 females in a statistics class. If one student is chosen at random, what is the probability that the student is a female?1 solutions Answer 392145 by jim_thompson5910(28503)   on 2012-06-24 21:20:35 (Show Source): You can put this solution on YOUR website!There are 15+10 = 25 students total and 10 females. So the probability is 10/25 = 2/5
 Polynomials-and-rational-expressions/623522: Please help me simplify: 6a^2-2[3b-3b(b+4)]1 solutions Answer 392143 by jim_thompson5910(28503)   on 2012-06-24 21:12:38 (Show Source): You can put this solution on YOUR website!6a^2-2[3b-3b(b+4)] 6a^2-2[3b-3b^2-12b] 6a^2-2[-3b^2-15b] 6a^2+6b^2+30b So the expression 6a^2+6b^2+30b
 Polynomials-and-rational-expressions/623517: Please help me simplify: 5x-3(4x-4y) 1 solutions Answer 392142 by jim_thompson5910(28503)   on 2012-06-24 20:45:24 (Show Source): You can put this solution on YOUR website! So the expression simplifies to
 Rectangles/623509: A rectangle is twice as long as it is wide. The perimeter is 84 feet. how can i find the dimensions?1 solutions Answer 392140 by jim_thompson5910(28503)   on 2012-06-24 20:09:39 (Show Source): You can put this solution on YOUR website!Hint: "A rectangle is twice as long as it is wide" means that L = 2W "The perimeter is 84 feet" means that P = 2L+2W ---> 84 = 2L+2W From here, plug in L = 2W to get 84 = 2*2W + 2W which becomes 84 = 4W + 2W I'll let you finish. You simply need to solve for W. Then use the solution for W to find L.
 test/623455: Calulate the following: 12p121 solutions Answer 392139 by jim_thompson5910(28503)   on 2012-06-24 20:07:10 (Show Source): You can put this solution on YOUR website!n P r = (n!)/((n-r)!) 12 P 12 = (12!)/((12-12)!) 12 P 12 = (12!)/(0!) 12 P 12 = (12*11*10*9*8*7*6*5*4*3*2*1)/(1) 12 P 12 = (479001600)/(1) 12 P 12 = 479001600
 Polynomials-and-rational-expressions/623489: Add: (r-4s+6)+(8r+3s)+(s+9)1 solutions Answer 392138 by jim_thompson5910(28503)   on 2012-06-24 20:03:00 (Show Source): You can put this solution on YOUR website!(r-4s+6)+(8r+3s)+(s+9) r-4s+6+8r+3s+s+9 (r+8r)+(-4s+3s+s)+(6+9) 9r+0s+15 9r+15 So (r-4s+6)+(8r+3s)+(s+9) simplifies to 9r+15
 Equations/623508: How do you solve 4(3x-8)+2x<16 ? This prefreshman engineering program gives us hard equations & doesnt even explain it tous ! please tell me how step by step ...1 solutions Answer 392136 by jim_thompson5910(28503)   on 2012-06-24 20:01:03 (Show Source): You can put this solution on YOUR website! Start with the given inequality. Distribute. Combine like terms on the left side. Add to both sides. Combine like terms on the right side. Divide both sides by to isolate . Reduce. ---------------------------------------------------------------------- Answer: So the solution is -------------------------------------------------------------------------------------------------------------- If you need more help, email me at jim_thompson5910@hotmail.com Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you Jim --------------------------------------------------------------------------------------------------------------
 Square-cubic-other-roots/623435: square root of 45 plus square root of 180?1 solutions Answer 392106 by jim_thompson5910(28503)   on 2012-06-24 15:16:17 (Show Source): You can put this solution on YOUR website!sqrt(45)+sqrt(180) sqrt(9*5)+sqrt(36*5) sqrt(9)*sqrt(5)+sqrt(36)*sqrt(5) 3*sqrt(5)+6*sqrt(5) (3+6)*sqrt(5) 9*sqrt(5) So sqrt(45)+sqrt(180) = 9*sqrt(5)