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# Recent problems solved by 'junior403'

 Graphs/61615: This one has me stumped. Graph the line that has a slope of -3 and passes through the point P(0,3)1 solutions Answer 42448 by junior403(76)   on 2006-11-16 08:20:10 (Show Source): You can put this solution on YOUR website!Graph the line that has a slope of -3 and passes through the point P(0,3. In order to see this maybe it would be easier if we understood what a slope is. If we call the slope m we can say that: That is to say that the slope of a line is proportionate to: how far a line rises or falls by (divided by) how far it goes left or right (on a graph) So, if your slope is -3 we can say that it is or, it falls (since its a negative number) -3 points at the same time that it moves to the right (because its a positive number) 1 point. We could also say that for every point on the graph that the line moves to the right it falls 3 points. To garaph this you can start by finding point (0,3) where x = 0 and y = 3. Then, since your slope is equal to remember, go 3 points down and 1 point to the right and make a second point. Now draw a line between the two points you have made and that is your graph. Just to see this principle, continue down from your second point that you made with the same pattern (3 down, 1 right) and you will see that the line you have drawn will always follow that pattern. I hope this helps, Good Luck!
 Linear-systems/55894: QUESTION: SOLVE THE SYTEM BY ADDITION -5X+2Y=10 X-3Y=111 solutions Answer 37902 by junior403(76)   on 2006-10-12 09:10:10 (Show Source): You can put this solution on YOUR website!SOLVE THE SYTEM BY ADDITION -5X+2Y=10 X-3Y=11 First we can add these equations vertically. -5X+2Y=10 ....X-3Y=11 __________ -4X-1Y=21 Ok so far? Now we can solve this result for one of the variables. Lets choose Y. -4X-Y=21 We can add 4X to both sides to move it to the right. -Y=21+4X Then we can divide each side of the equation by -1 to make the Y positive. Y=-21-4X Now that we have the value for Y we can insert that value into one of our original equations. X - 3(-21-4X) = 11 Ok? Now we can solve for X. first we can distribute the -3 with everything inside the parentesis. X + 63 +12X = 11 Then we can subtract 63 from both sides. X + 12X = -52 Then we combine like terms. 13X = -52 Then we can divide both sides by 13. X = -4 Now that we know the value of X, we can substitute the -4 in the other original equation. -5(-4)+2Y=10 Distribute. 20 + 2Y = 10 Subtract 20 from both sides. 2Y = -10 Divide by 2. Y = -5 So X = -4 and Y = -5 To check this we can apply both results to one or both of the originals. -5X+2Y=10 -5(-4)+2(-5)=10 20 -10 = 10 TRUE X-3Y=11 (-4)-3(-5)=11 -4 + 15 = 11 TRUE I hope this helps. Good Luck!
 Distributive-associative-commutative-properties/55855: 1 solutions Answer 37898 by junior403(76)   on 2006-10-12 08:45:17 (Show Source): You can put this solution on YOUR website! This is an example where the Distributive property is needed. In this case each number or variable within the (parenthesis) must be multiplied by the number directly in front of the (parenthesis). So: the 4 must be multiplied by the (t) = 4t and the 4 must also be multiplied by the (-5) = -20 or: 4(t-5)= 4t -20 I hope this helps Good luck!
 Linear-equations/51020: This question is from textbook aglebra 2 how do you slove for 5y=10x-25 in standard form and identify a,b,c1 solutions Answer 34040 by junior403(76)   on 2006-09-07 00:20:11 (Show Source): You can put this solution on YOUR website!The standard form of an equation is: ax + by = c So in the equation 5y=10x-25 ax = 10x, by = 5y and c = -25 So, in order to identify a, b and c, we need to first put it into standard form because when we do some of these numbers may change. 5y = 10x -25 First we can subtract the 10x from both sides of the equation. -10x + 5y = -25 Now we have to distrubute the negative sign - in order to identify our true numbers... 10x -5y + 25 ax + by = c so... a = 10 b = -5 c = 25 I hope this helps. Good Luck!
 Probability-and-statistics/51023: solve the equation: |3x+3|=7 thanks a bunch!1 solutions Answer 34039 by junior403(76)   on 2006-09-07 00:11:44 (Show Source): You can put this solution on YOUR website!This is an absolute value equation so there will always be 2 solutions. |3x+3|=7 and |3x+3|=-7 First: |3x+3|=7 We can now remove the absolute value lines... 3x+3=7 and we can solve for x. Subtract 3 from both sides... 3x = 4 Divide by 3... x = 4/3 Second: |3x+3|=-7 remove the absolute value lines... 3x+3=-7 Subtract 2 from both sides... 3x = -10 Divide by 3... x = -10/3 So, our solution set is... {-10/3, 4/3} I hope this helps. Good Luck!
 Probability-and-statistics/51024: solve the equation: |3x+2|=7 thanks a bunch!1 solutions Answer 34038 by junior403(76)   on 2006-09-07 00:05:52 (Show Source): You can put this solution on YOUR website!This is an absolute value equation so there will always be 2 solutions. |3x+2|=7 and |3x+2|=-7 First: |3x+2|=7 We can now remove the absolute value lines... 3x+2=7 and we can solve for x. Subtract 2 from both sides... 3x = 5 Divide by 3... x = 5/3 Second: |3x+2|=-7 remove the absolute value lines... 3x+2=-7 Subtract 2 from both sides... 3x = -9 Divide by 3... x = -3 So, our solution set is... {-3, 5/3} I hope this helps. Good Luck!
 Miscellaneous_Word_Problems/51056: AT 7 a.m. the temperature was -15 degrees F. By 1 p.m. the temp. increased by 18 degrees F. What was the temp. at 1 p.m.?1 solutions Answer 34037 by junior403(76)   on 2006-09-06 23:54:38 (Show Source): You can put this solution on YOUR website!If the original temp was -15F and it increased by +18F... We can show that as: -15+18 or 18-15 which equals 3 degrees F. Hope this helps. Good Luck!
 Equations/51073: This question is from textbook focus on geometry 3x - 2(25 - 3x)= 401 solutions Answer 34036 by junior403(76)   on 2006-09-06 23:48:05 (Show Source): You can put this solution on YOUR website!When solving equations remember order of operations: PEMDAS (perenthesis, exponents, multiplication, division, addition, subtraction)in that order! 3x - 2(25 - 3x)= 40 First lets eliminate the parenthesis by distribution. Multiply -2(25) and -2(-3x) 3x -50 + 6x = 40 now we can combine like terms. 9x -50 = 40 If we add 50 to both sides of the equation, we can isolate the 9x. 9x = 90 Now in order to solve for x we can divide both sides by 9. x = 10 Thats it. Good luck!
 Geometry_Word_Problems/51065: Side a of a triangle is 4cm longer than side b. side c is twice as long as side b. What is the length of each side of the triangle if its perimeter is 28cm? p=a+b+c1 solutions Answer 34035 by junior403(76)   on 2006-09-06 23:41:29 (Show Source): You can put this solution on YOUR website!Side a of a triangle is 4cm longer than side b. side c is twice as long as side b. What is the length of each side of the triangle if its perimeter is 28cm? p=a+b+c First: What side do we know nothing about? side b. So, we describe the other two sides in terms of b. Side a of a triangle is 4cm longer than side b. So, side a = b + 4 And we already said we know nothing about side b. So, side b = b Side c is twice as long as side b. So, side c = 2b Does this make sense so far? Now lets combine these variables acording to the perimeter formula. a + b + c = P So... b + 4 + b + 2b = 28 Now we can simplify and solve for b. If we combine like terms we get... 4 + 4b = 28 Subtract 4 from each side to isolate the variable. 4b = 24 Now we can divide both sides by 4. b = 6 Now that we know the value for b we can solve the word problem. a = b + 4 a = 6 + 4 a = 10 And... c = 2b c = 2(6) c = 12 so... a = 10 b = 6 c = 12 We can check by addind these solutions together... 10 + 6 + 12 = 28 Correct! I hope this helps. Good Luck!
 Equations/51066: N-(-6)=4 1 solutions Answer 34034 by junior403(76)   on 2006-09-06 23:29:51 (Show Source): You can put this solution on YOUR website!N-(-6)=4 If we go by the order of operations we need to simplify the parenthesis first. Lets look at the problem like this... N -1(-6)= 4 We know that a negative number multiplied by another negative number is positive, right? so this means... N + 6 = 4 now we simply isolate the variable N by subtracting the 6 from both sides of the equation. N = -2 Thats it. Good Luck
 Linear-equations/51058: This question is from textbook algebra 2 what is the equation of a line in standard form that passes through points (6,2) (9,10)1 solutions Answer 34033 by junior403(76)   on 2006-09-06 22:48:08 (Show Source): You can put this solution on YOUR website!What is the equation of a line in standard form that passes through points (6,2) which we will call (x1,y1) and (9,10)which we will call (x2,y2). First we need to find the slope of the line using the solpe formula: So we plug in our points. Then subtract This is our slope. Now we can use the point slope formula to get our equation. Again lets plug in the variables. Now we can simplify by multiplying the entire equation by 3 to eliminate the fraction. Then we can distribute both sides. Now we can combine like terms. add 6 to both sides... this is simplified as far as possible, now we just need to put it into standard form: ax + by = c So we can subtract the 8x from both sides... then we should distribute the - through the equation which means that we should change the signs of ALL the variables. this is the final equation. I hope this helps Good Luck!
 Graphs/51057: graph the compound inequality -7<=x<4 on a number line1 solutions Answer 34032 by junior403(76)   on 2006-09-06 22:22:41 (Show Source): You can put this solution on YOUR website!Graph the inequality this reads that a number (x) is greater than or equal to -7 at the same time that it is less than 4. This is how it would be plotted on a number line. Where the RED dot marks the -7 you would insert a [ "left bracket" to indicate that x is greater than or equal to -7. Where the GREEN dot marks the 4 you would insert a ) "right parenthesis" to indicate that x is less than 4. your solution set would be... [-7, 4) I hope this helps. Good Luck!
 real-numbers/50989: what is 8u=3u+35?1 solutions Answer 34030 by junior403(76)   on 2006-09-06 21:56:45 (Show Source): You can put this solution on YOUR website!8u = 3u + 35 Lets solve for x. First we combine like terms by subtracting 3u from both sides of the equation. 5u = 35 then, in order to isolate the variable, we can divide both sides by 5. u = 7 this is your final answer. I hope this helps. Good Luck!
 Numeric_Fractions/51052: a man weighs 5\6 th his weight plus 30 pounds what is his weight? please help asap i need this tomorrow1 solutions Answer 34018 by junior403(76)   on 2006-09-06 21:14:00 (Show Source): You can put this solution on YOUR website!a man weighs 5\6 th his weight plus 30 pounds what is his weight? please help asap i need this tomorrow If a man weighs 5/6 of his weight + 30lbs, then 30lbs represents 1/6 of his weight because 30lbs is all that remains. So... 1/6x = 30 multiply by 6 to eliminate fraction... 6(1/6)x = 6(30) perform operations... 1x = 180 simplify x = 180 lbs. Good Luck! Alan
 Functions/51028: I just don't understand these -2-4(2y-1)=(6-2y)31 solutions Answer 33998 by junior403(76)   on 2006-09-06 19:59:23 (Show Source): You can put this solution on YOUR website!OK, no problem... Lets just take these one step at a time. -2-4(2y-1)=(6-2y)3 What if we just work on one side of the equation at a time, that might help. So all we have is the left side: -2-4(2y-1) If we follow the order of operations we know that we should work with the parenthesis first using the distributive property, forget about the -2 for now. So we have... -4 X 2y and -4 X -1 this becomes -8y and -4 or -8y -4 ok so far? now if we bring back the -2 we have... -2 -8y -4 Does this make sense? Then we can combine like terms (the -2 and the -4) -8y -6 Ok? Now we put that aside and work on the right side of the equation... (6-2y)3 or we could look at this like 3(6-2y) So now we have... 3 X 6 and 3 X -2y this becomes 18 and -6y or 18 - 6y ok so far? now that we have re-written the equation lets bring it back together... -8y -6 = 18 - 6y does this make sense? now we need to solve for y... we can combine like terms again accross the equals sign. In order to do that we can add 6 to both sides and we add 6y from both sides to make it look like this... -8y - 6 + 6 + 6y = 18 + 6 - 6y + 6y the 6's will cancel on the left side and the 6y's will cancel on the right. -8y + 6y = 18 + 6 now we can combine the terms... -2y = 24 ok so far? now to completely isolate the y variable we can divide both sides by -2... the -2's cancel on the left side and we can reduce the right fraction to -12 so our final answer is... y = -12 I hope this helps. Please let me know if you have any more questions! Good Luck. Alan
 Functions/51030: I can't figure this out -8(2y-4)=9(4-2y)1 solutions Answer 33997 by junior403(76)   on 2006-09-06 19:34:54 (Show Source): You can put this solution on YOUR website!-8(2y-4)=9(4-2y) This isnt so bad if we just remember the order of operations. First let's use the distributive property on both sides of the equation... Lets start with the left side: -8(2y-4) this means... -8(2y)and -8(-4)= -16y + 32 then the right side: 9(4-2y) this means 9(4) and 9(-2y)= 36 - 18y so now our equation looks like... -16y + 32 = 36 - 18y now we need to arrange this equation so that the y variables are on the same side of the equation... so if we add 18 y to both sides... -16y + 18y + 32 = 36 - 18y + 18 y which becomes... 2y + 32 = 36 now we can subtract 32 from both sides to isolate the y variable... 2y + 32 - 32 = 36 - 32 this becomes 2y = 4 Now in order to completely isolate the y variable we can divide both sides by 2 This becomes... y = 2 this is the answer. I hope this helps. Good Luck!
 Linear_Algebra/51025: 2L + 2W=P Sovle for L I have searched and search for what I know should be a simple answer, but can't find it1 solutions Answer 33996 by junior403(76)   on 2006-09-06 19:21:04 (Show Source): You can put this solution on YOUR website!2L + 2W = P Sovle for L First let's isolate the 2L by subtracting 2W from both sides of the equation... 2L = P - 2W Now, in order to solve for L we can simply divide both sides of the equation by 2. the 2's cancel on the left side of the equation, but they cannot cancel on the right because of the subtraction. So this is as far as we can go, it cannot be simplified any further. I hope this helps. Good Luck!
 Expressions-with-variables/50620: Evalute the algebraic expression 5ac/2(c-a) if a = 6 and c = 8?1 solutions Answer 33995 by junior403(76)   on 2006-09-06 19:12:31 (Show Source): You can put this solution on YOUR website!Evalute: if a = 6 and c = 8? If we plug in the indicated variables, we have... if we follow the order of operations, we have... and... if we divide 240 by 4... the answer is 60. i hope this helps. good luck!
 Equations/51013: An arithmetic student needs an average of 70 or more to receive credit for the course. She scored 82, 64, and 98 on the first three exams. Write an inequality representing the score she must get on the last test to receive credit for the course1 solutions Answer 33994 by junior403(76)   on 2006-09-06 18:59:24 (Show Source): You can put this solution on YOUR website!In a problem such as this we can figure it out much like we would figure out a student's average grade for a series of tests. We add all the scores together and divide by the number of scores. Only, in this case there is one unknown in that series of tests, lets call that x. 82 + 64 + 98 + x These are the four scores that we have, correct? Now we simply add these together and divide by the number of scores, 4. And we want that result to be greater than or equal to the minimum grade she must get in order to recieve credit, 70. now, to make it easier to work with, we can multiply the entire equation by 4 to cancel out the denominator, remember to multiply both sides of the equation... the 4's cancel and we can multiply the 70 by 4... then we perform the indicated operations. subtract 244 from both sides... So 36 is the minimum grade the student can get on the test to average a 70. I hope this helps. good luck!