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# Recent problems solved by 'usyim88hk'

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 Linear-equations/35844: This question is from textbook Mathematics: Book 3 How would you do the problem of 3x-4=x+10?1 solutions Answer 21933 by usyim88hk(157)   on 2006-05-01 20:46:22 (Show Source): You can put this solution on YOUR website!First of all, we want to set all the x on one side and all the numbers on the other side. so we add 4 to both sides first. 3x-4+4 = x+10+4 3x = x+14 Then we subtract x from both sides 3x-x = x+14-x 2x = 14 Finally, divide both sides by 2 2x/2 = 14/2 x = 7
 test/35141: 4 people are in the math club. How many 2 person teams can be formed from the 41 solutions Answer 21345 by usyim88hk(157)   on 2006-04-26 18:15:53 (Show Source): You can put this solution on YOUR website!We have to use combinaion, nCr ` (4!)/(2!x2!) = (4x3x2x1)/(2x1x2x1) = 24/4 = 6 ` There are six different combinations.
 Equations/34827: slove the equation 4y+228=352 1 solutions Answer 21098 by usyim88hk(157)   on 2006-04-24 21:17:34 (Show Source): You can put this solution on YOUR website!4y+228=352 First of all, subtract 228 from both sides 4y + 228 - 228 = 352 - 228 4y = 124 Then divide both sides by 4 4y/4 = 124/4 y = 31
 Geometric_formulas/34854: What is the formula for the volume of a rectangular prism?1 solutions Answer 21095 by usyim88hk(157)   on 2006-04-24 21:14:10 (Show Source): You can put this solution on YOUR website!Base times height times width which can also be written as V = bxhxw
 Rational-functions/34787: Can someone help me solve this by using the sqare root property? (x+8)^2=811 solutions Answer 21093 by usyim88hk(157)   on 2006-04-24 21:08:47 (Show Source): You can put this solution on YOUR website!(x+8)^2 = 81 *square root both sides (x+8) = 9 OR (x+8) = -9 **For (x+8) = 9 *subtract 8 from both sides x = 1 **For (x+8) = -9 *subtract 8 from both sides x = -17 So there are two answers for this equation x = 1 or -17
 Sequences-and-series/34786: I am totally lost on this. Please help! Write the first 5 terms of the sequence a(n)=n^2+1 Thanks in advance1 solutions Answer 21090 by usyim88hk(157)   on 2006-04-24 21:03:44 (Show Source): You can put this solution on YOUR website!ok, the first five terms means when n is equal to 1,2,3,4,and 5 so, when n is one, a(n) is 1^2 + 1 , whcih is 2 when n is two, a(n) is 2^2 + 1 , which is 5 when n is three, a(n) is 3^2 + 1, which is 10 when n is four, a(n) is 4^2 + 1, which is 17 when n is five, a(n) is 5^2 + 1, which is 26 ~~~ So the first five terms are 2,5,10,17,and 26
 Equations/34822: slove the equation h/9 =71 solutions Answer 21086 by usyim88hk(157)   on 2006-04-24 20:57:17 (Show Source): You can put this solution on YOUR website!h/9 = 7 multiply both sides by 9 h/9 x 9 = 7 x 9 h = 63
 Equations/34828: slove the equation 12y =132 1 solutions Answer 21085 by usyim88hk(157)   on 2006-04-24 20:56:05 (Show Source): You can put this solution on YOUR website!12y = 132 Divide both sides by 12 12y/12 = 132/12 y = 11
 Triangles/34857: Hi, Could someone please answer this for me Tell whether a triangle with side of the given lengths 15,15,21.2 is 45,-45,-90 degrees 30,-60,-90 degrees or neither I gave 45,-45,-90 and the answer was marked wrong. Thanks1 solutions Answer 21084 by usyim88hk(157)   on 2006-04-24 20:53:50 (Show Source): You can put this solution on YOUR website!Well, you are correct since 15 times square root of 2 is 21.21320344...... Maybe your teacher marked it wrong???
 Geometry_Word_Problems/34867: What is the circumference of a circle if the radius is 64pi?1 solutions Answer 21082 by usyim88hk(157)   on 2006-04-24 20:51:08 (Show Source): You can put this solution on YOUR website!The forumla of the circumference of a circle is C = 2 x pi x r where C is circumference, r is the radius So the circumference is 2 times pi times 64pi whcih is equal to 128(pi)^2
 Equations/34369: A university bookstore recently sold a wirebound graph-paper notebook for \$2.50, and a college-ruled notebook for \$2.30. At the start of spring semester, a combination of 50 of these notebooks were sold for a total of \$118.60. How many of each type were sold?1 solutions Answer 20690 by usyim88hk(157)   on 2006-04-20 23:53:05 (Show Source): You can put this solution on YOUR website!We can use Substitution to work on this problem: ~ Let x be the number of wirebound graph-paper notebook Let y be the number of college-ruled notebook ~ So we now have an equation x + y = 50 since the numbers of this two kinds of notebook add up to 50 ~ now we can make another equation 2.5x + 2.3y = 118.6 ~ 2.5x means the earning of the sold wirebound graph-paper notebooks 2.3y means the earning of the sold college-ruled notebooks and they add up to 118.6 ~ Now we can solve for x x + y = 50 x = 50 - y ~ Now substitute x into the other equation 2.5x + 2.3y = 118.6 2.5 (50 - y) + 2.3y = 118.6 (x is equal to 50 - y so the x in the second equation become 50-y) ~ Now solve for y 2.5 (50 - y) + 2.3y = 118.6 125 - 2.5y + 2.3y = 118.6 125 - 0.2y = 118.6 125 = 118.6 + 0.2y 6.4 = 0.2y y = 32 So the total numebr of sold college-ruled notebooks is 32, while the total number of sold wirebound graph-paper notebooks is 50 - 32 = 18
 Equations/34374: A man goes into a grocery store and buys a grapefruit and a toy ball. A 7% tax is applied to the price of non-food items. If the total bill is \$5.15, including \$0.18 in tax on the toy ball, what are the prices of the grapefruit and the ball?1 solutions Answer 20688 by usyim88hk(157)   on 2006-04-20 23:44:06 (Show Source): You can put this solution on YOUR website!We can first find out the price of the toy ball: so \$0.18 is 7% of the price of the toy ball, then 0.18 / 7% = \$2.57 which is the price of the toy ball then subtract the price of the toy ball from the total with the tax \$5.15 - \$2.57 - \$0.18= \$2.40 So the price of the grape fruit is 2.40 and the price of the toy ball is 2.57.
 Probability-and-statistics/34415: Paul orders a pizza. Chef carl randomly chooses 2 different toppings to put on the pizza from the following: pepperoni, onion, sausage, mushrooms, and anchovies. if paul will not eat pizza with mushrooms, determine the probability that paul will not eat the pizza chef carl has made.1 solutions Answer 20686 by usyim88hk(157)   on 2006-04-20 23:37:36 (Show Source): You can put this solution on YOUR website!We can do it with a shortcut call "combination", but I will use the long way, call "list them all out!" Different pizzas that Paul can order: 1) Peperoni, onion 2) Peperoni, sausage 3) Peperoni, mushrooms 4) Peperoni, anchovies 5) onion, sausage 6) onion, mushrooms 7) onion, anchovies 8) sausage, mushrooms 9) sausage, anchovies 10) mushrooms, anchovies So now we can see that 4 out of 10 pizzas have mushrooms on them, so the probability will be 40%
 Polynomials-and-rational-expressions/34441: looking for help Factor t^2+25 this is N,F or can it be factored thank you for your time1 solutions Answer 20685 by usyim88hk(157)   on 2006-04-20 23:29:37 (Show Source): You can put this solution on YOUR website!Nope, this cannot be factor, there are no solutions.
 Graphs/13230: y=-2/5x+11 solutions Answer 6624 by usyim88hk(157)   on 2005-09-29 19:05:31 (Show Source):
 Numeric_Fractions/13222: how do you multiply this fraction 24 times 1/41 solutions Answer 6622 by usyim88hk(157)   on 2005-09-29 18:50:26 (Show Source): You can put this solution on YOUR website!First you have to know what to multiply : 24 times 1/4 means: 24 times 1 then divide by 4 : So acctually it is 24 divided by 4 which is equal to 6 : For antoher example: 24 times 5/6 : 24 times 5/6 means: 24 times 5 then divide by 6 : So actually it is 24 times 5 which is equal to 120 then divide by 6 wich is equal to 20
 Miscellaneous_Word_Problems/13205: Please help - my son and I can not even begin how to figure this out and we have spent the last 2 hours searching on math web sites. Here is the problem: The gift shop placed an order for 42 t-shirts. They ordered 3 times as many large t-shirts as small t-shirts and twice as many medium t-shirts as small t-shirts. How many of each size did they order?1 solutions Answer 6620 by usyim88hk(157)   on 2005-09-29 18:45:25 (Show Source): You can put this solution on YOUR website!We can set up equations to find out what the answer is Let x be the number of small T-shirts the gift shop ordered So 2x is equal to the number of medium T-shirts And 3x is equal to the number of large T-shirts Now we know that there are 42 T-shirts in total, so x+2x+3x = 42 now we can add the xs up 6x=42 Then divide both sides by 6 x=7 So the number of small T-shirts is 7 the number of medium T-shirts is 14 and the number of large T-shirts is 21
 Equations/13227: 3x+9=301 solutions Answer 6618 by usyim88hk(157)   on 2005-09-29 18:34:54 (Show Source): You can put this solution on YOUR website!3x+9=30 first, subtract 9 to both sides and get 3x=21 Then divide both sides by 3 x=7
 Distributive-associative-commutative-properties/11794: four 3 by 8 tables find the surface area1 solutions Answer 6030 by usyim88hk(157)   on 2005-09-19 20:16:26 (Show Source): You can put this solution on YOUR website!It is just 4 times 3 times 8 whcih equals to 96 unints square
 Polynomials-and-rational-expressions/11482: {6^2+7[6-2(10/5)+3^2.2]}/4 Please help me solve this one.1 solutions Answer 5949 by usyim88hk(157)   on 2005-09-17 20:34:59 (Show Source): You can put this solution on YOUR website!First slove (10/5) which is equal to 2 {6^2+7[6-2(2)+3^2.2])/4 3^2.2 means you need a claculator and it is equal to 11.21 {6^2+7[6-2(2)+11.21])/4 Now multiply 2(2)which is 4 {6^2+7[6-4+11.21])/4 Add up 6-4+11.21 {6^2+7[13.21])/4 Now multiply 7[13.21] which equals to 92.47 {6^2+92.47)/4 6^2 equals 36 (36+92.47)/4 Add 36 and 92.47 which equals to 128.47 128.47/4 Devide 32.1175
 Polynomials-and-rational-expressions/11497: (-12c^4)(-1/2c^5) (-2c^2) Please help me solve this problem.1 solutions Answer 5947 by usyim88hk(157)   on 2005-09-17 20:27:06 (Show Source): You can put this solution on YOUR website!Multiply all the numbers and all the unknowns (-12)(-1/2)(-2)(c^4)(c^5)(c^2) = (-12)c^(4+5+2) = -12c^11
 Money_Word_Problems/11486: Jared walks into a bakery and says to the owner, "I will buy half of all the pies in the store, plus half a pie." The sale is made. Phyllis then comes into the store and makes the same statement and purchase. Then Dexter does likewise. The owner then has exactly one pie left. How many pies did the owner have in the store at the outset?1 solutions Answer 5946 by usyim88hk(157)   on 2005-09-17 20:23:58 (Show Source): You can put this solution on YOUR website!First we know that the shop still has one pie left. pie = 1 We know that Dexter bought half a pie, so add a half pie = 1.5 Now times two since he bought half of the pies pie = 3 Then Phyllis bought half of a pie, so add a half pie = 3.5 and times 2 again pie = 7 add another half pie = 7.5 times two pie = 15 : SO the answer is 15 pie
 Polynomials-and-rational-expressions/11493: 3(x+y)^2+4(x+y)-6 when x=4 and y=-1 Please help me solve this problem.1 solutions Answer 5944 by usyim88hk(157)   on 2005-09-17 20:18:09 (Show Source): You can put this solution on YOUR website!First, make x become 4 and make y become -1 in the equation : 3(4+(-1))^2+4(4+(-1))-6 : all x become 4 and all y become -1, now slove it : 3(4-1)^2+4(4-1)-6 3(3)^2+4(3)-6 3(9)+12-6 27+12-6 33
 Numeric_Fractions/11496: Michelle ordered two pizzas. Each pizza was cut into eight slices of equal size. she gave 1/2 of a pizza to Chris, 3/8 of a pizza to John, 1/4 of a pizza to Sally. How many slices of pizza were left?1 solutions Answer 5943 by usyim88hk(157)   on 2005-09-17 20:15:03 (Show Source): You can put this solution on YOUR website!So we know that she ordered 2 pizzas which are cut into 8 pieces on each one, so we get 16 pieces of pizzas. Since Chris got 1/2 of "a" pizza, he got 1/2 times 8 which equals to 4 pizzas Since John got 3/8 of "a" pizza, he got 3/8 times 8 which equals to 3 pizzas Since Sally got 1/4 of "a" pizza, she got 1/4 times 8 which equals to 2 pizzas Since 9 pizzas were taken away, Micelle got 16 - 9 pizzas which is 7 pizzas
 Linear-equations/11452: How do you solve an equation that is set up like this 3/4 (x-5)= -12. I have tried multipling by what I believe is the LCD 4, I have tried dividing by 4/3. I still cannot get the right answer. Please help!1 solutions Answer 5941 by usyim88hk(157)   on 2005-09-17 20:07:54 (Show Source): You can put this solution on YOUR website!First of all, multiply 4/3 to both sides! (4/3)(3/4)(x-5) = (-12)(4/3) (x-5) = (-16) then just add 5 to both sides x-5+5 = -16+5 x = -11
 Triangles/2947: A right-angle triangle has hypoteneuse 10 inches, and the height drawn from the right angle to the hypoteneuse is 6 inches. Find the area of this right-angle triangle1 solutions Answer 1298 by usyim88hk(157)   on 2005-06-01 18:46:14 (Show Source): You can put this solution on YOUR website!First we should find the third side. Let x be the length of the third side 10^2 = 6^2 + x^2 100 = 36 + x^2 64 = x^2 x = 8 So the third side is eight. And now we can use the two sides other then the hypoteneuse to find the area of this triangle 8*6/2 = 24
 Linear-equations/2979: 2x+5=71 solutions Answer 1297 by usyim88hk(157)   on 2005-06-01 18:42:50 (Show Source): You can put this solution on YOUR website!minus 5 from both sides 2x+5-5 = 7-5 2x = 2 Then divide both sides by 2 2x/2 = 2/2 x = 1 So x is equal to one
 Linear-systems/2430: Here is my question: Solve the system graphically x+4y=32 3x+4y=-51 solutions Answer 1035 by usyim88hk(157)   on 2005-05-19 22:47:14 (Show Source): You can put this solution on YOUR website!Still, first change them into slope-intercept form: --------------- x+4y = 32 4y = -x+32 y = (-1/4)x + 8 --------------- 3x+4y = -5 4y = -3x-5 y = (-3/4)x - (5/4) ------------------
 Linear-equations/2439: whats the answer to 9x-12=3x1 solutions Answer 1034 by usyim88hk(157)   on 2005-05-19 22:42:22 (Show Source): You can put this solution on YOUR website!First add 12 to both sides and subtract 3x from both sides 9x-12+12-3x = 3x+12-3x 6x = 12 Then divide both sides by 6 x = 2
 Quadratic_Equations/2432: Find three consecutive whole numbers such that the product of the first and the second is 23 more than the third.1 solutions Answer 1033 by usyim88hk(157)   on 2005-05-19 20:04:55 (Show Source): You can put this solution on YOUR website!let x be the smallest number (x)(x+1) = (x+2)+23 because the product of first two numbers is equal to the third number plus 23 so now solve it x^2+x = x+25 x^2 = 25 x = 5 So the three numbers are 5,6 and 7
 Linear-equations/2418: Please help with this problem: 3(6s + 12) - (10s -6)=01 solutions Answer 1032 by usyim88hk(157)   on 2005-05-19 19:53:25 (Show Source): You can put this solution on YOUR website!First multiply (6s+12) by 3 3(6s+12)-(10s-6) = 0 (18s+36)-(10s-6) = 0 Then subtract (10s-6) from (18s+36) 18s+36-10s-(-6) = 0 8s+36+6 = 0 8s+42 = 0 8s = -42 s = -5.25