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Recent problems solved by 'stanbon'

stanbon answered: 57288 problems
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 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 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56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299, >>Next

Expressions-with-variables/335437: what is the variable and an algebraic equation this is the question what is the total cost of buying several shrits at $24.95 each? 1 solutions Answer 240417 by stanbon(57361)   on 2010-08-26 19:35:42 (Show Source): You can put this solution on YOUR website! what is the variable and an algebraic equation? this is the question. what is the total cost of buying several shirts at $24.95 each? ------ Cost = 24.95*(# of shirts bought) ---- C(x) = 24.95x where x is the number of shirts bought and C is the total cost of the x shirts. ============================================= Cheers, Stan H.

Volume/335434: What is the volume of a rectangular containter that is 6' long, 4' high and 3' wide? I have the answer, but I need help with the formula. 1 solutions Answer 240414 by stanbon(57361)   on 2010-08-26 19:31:39 (Show Source): You can put this solution on YOUR website! What is the volume of a rectangular container that is 6' long, 4' high and 3' wide? ------------------------ Volume = length *height*width --- V = 6'*4'*3' ---- V = 72 cu. ft. ================= Cheers, Stan H.

Equations/335428: the height of the flagpole is three fourths the height of the school. the difference in there heights is 4.5 m. what is the height of the school? 1 solutions Answer 240413 by stanbon(57361)   on 2010-08-26 19:27:12 (Show Source): You can put this solution on YOUR website! the height of the flagpole is three fourths the height of the school. the difference in there heights is 4.5 m. what is the height of the school? ---------- Equation: f = (3/4)s s-f = 4.5 ---- Substitute for "f" and solve for "s": s-(3/4)s = 4.5 (1/4)s = 4.5 s = 4*4.5 s = 18 meters (height of the school) --------------- Since f = (3/4)s, f = (3/4)(18) = (3/2)(9)= 13.5 meters (height of the flag pole) =============================== Cheers, Stan H. =============

Square-cubic-other-roots/335388: How would I rewrite the expression 2ab^3c^-3 using only positive exponents? I would have thought to rewrite it all over one, But i'm not sure due to b having a positive exponent already. Thanks. 1 solutions Answer 240410 by stanbon(57361)   on 2010-08-26 19:21:04 (Show Source): You can put this solution on YOUR website! How would I rewrite the expression 2ab^3c^-3 using only positive exponents? --------------- = (2ab^3/c^3) = (2a)(b/c)^3 ================= Cheers, Stan H. ====================

real-numbers/335386: I am totally lost. how do I compute 3-(-6 1/4) 1 solutions Answer 240388 by stanbon(57361)   on 2010-08-26 18:20:54 (Show Source): You can put this solution on YOUR website! how do I compute 3-(-6 1/4) ------ = 3+(25/4) = (12/4)+(25/4) = 37/4 = 9 1/4 ========================= Cheers, Stan H. ======================

test/335379: -2/3 (+36)= ? 1 solutions Answer 240386 by stanbon(57361)   on 2010-08-26 18:15:37 (Show Source): You can put this solution on YOUR website! -2/3 (+36)= -24 ====================== Cheers, Stan H.

Finance/335377: i didnt know which topic to put it under so i put it under this topic....my question is Factor 20y^3+5y^2-15y ... i dont get it AT ALL! :/ 1 solutions Answer 240384 by stanbon(57361)   on 2010-08-26 18:08:28 (Show Source): You can put this solution on YOUR website! Factor 20y^3+5y^2-15y ---- Look at the number coefficients: 20,5,-15 The largest common factor for these is 5. ----------------- Look at the powers of y: y^3, y^2, y The largest common factor for these is y. ---------------------- So the common factor is 5y --------------------------------- Factor Form: = 5y(4y^2+y-3) = 5y(4y^2+4y-3y-3) = 5y(4y(y+1)-3(y+1)) = 5y(y+1)(4y-3) =================== Cheers, Stan H. ===========

Quadratic_Equations/335140: I just cant solve this equation.... 25x^2+16=40x 1 solutions Answer 240180 by stanbon(57361)   on 2010-08-25 22:14:42 (Show Source): You can put this solution on YOUR website! 25x^2+16=40x 25x^2-40x+16 = 0 Factor: (5x-4)^2 = 0 x = 4/5 with multiplicity two ================================= Cheers, Stan H.

Linear-systems/335139: Let X be the driving time (in hours) since a person has fueled up his car, and let Y be the number of gallons of gas in the car's gas tank. Assume that the equation y=-3X+18 describes the relationship between X and Y. Question: What does the variable y represent? what is the unit of y? Write the equation that describes the relation between the variables. Find the X-intercept and the Y-intercept. Show the algebra. 1 solutions Answer 240178 by stanbon(57361)   on 2010-08-25 22:12:24 (Show Source): You can put this solution on YOUR website! Let X be the driving time (in hours) since a person has fueled up his car, and let Y be the number of gallons of gas in the car's gas tank. ---------------------------------- Assume that the equation y=-3X+18 describes the relationship between X and Y. ---------------------------------- Question: What does the variable y represent? # of gallons of gas in the tank. --------- what is the unit of y? gallons --------- Write the equation that describes the relation between the variables. y = -3x+18 ----------------- Find the X-intercept and the Y-intercept. Show the algebra. x-intercept = ? Let y = 0 ; then x = 6 --- y-intercept = ? Let x = 0 ; then y = 18 =========================== Cheers, Stan H. ==========

expressions/335137: (7+[(32/16)*4]-6) 1 solutions Answer 240175 by stanbon(57361)   on 2010-08-25 22:07:26 (Show Source): You can put this solution on YOUR website! (7+[(32/16)*4]-6) -- = (7+2*4)-6 --- = (7+8)-6 --- = 15-6 --- = 9 ============ Cheers, Stan H.

Human-and-algebraic-language/335115: The sum of two numbers is 91. One of the numbers is 9 more than the other. What are the numbers? 1 solutions Answer 240159 by stanbon(57361)   on 2010-08-25 21:43:59 (Show Source): You can put this solution on YOUR website! The sum of two numbers is 91. One of the numbers is 9 more than the other. What are the numbers? --- x+y = 91 x-y = 9 ------------- Add to get: 2x = 100 x = 50 y = 91-50 = 41 -------------------- Cheers, Stan H.

absolute-value/335108: please solve the absolute value inequality. express solution in INEQUALITY, GRAPHICAL, and INTERVAL formats 1 solutions Answer 240158 by stanbon(57361)   on 2010-08-25 21:41:06 (Show Source): You can put this solution on YOUR website! -3|(6-t)|+1 > 5 --------------------------- -3|6-t| > 4 |6-t| < -4/3 ----- Note: No absolutte values are less than or equal to a negative number. ====== Solution: No solution Cheers, Stan H.

test/335082: 6(x-3)=4(x+9)-20 1 solutions Answer 240139 by stanbon(57361)   on 2010-08-25 20:53:30 (Show Source): You can put this solution on YOUR website! 6(x-3)=4(x+9)-20 -------------- 6x-18 = 4x+36-20 2x = 16+18 2x = 34 x = 17 ========== Cheers, Stan H.

Graphs/335077: 25x+5y=38 -5x=y+10 solve by substitution method 1 solutions Answer 240138 by stanbon(57361)   on 2010-08-25 20:50:22 (Show Source): You can put this solution on YOUR website! 25x+5y=38 -5x=y+10 solve by substitution method ------------------------------------ y = -5x-10 -------------- Substitute for "y" and solve for "x": 25x + 5(-5x-10) = 38 25x -25x - 50 = 38 -50 = 38 ---------- That is a contradiction The equation is inconsistent. There are no solutions. Cheers, Stan H.

Probability-and-statistics/335057: If 2 dice are rolled what is the probability that the score on the dice is 9 or they both show the same number? 1 solutions Answer 240135 by stanbon(57361)   on 2010-08-25 20:43:45 (Show Source): You can put this solution on YOUR website! If 2 dice are rolled what is the probability that the score on the dice is 9 or they both show the same number? ----------------------------------- # of ways to get a sum of 9: 3/6 ; 4/5 ; 5/4 ; 6/3::::4 ways ---- # of ways to show the same number: 6 --------------------------------------------- The events are mutually exclusive so, P(sum of 9 or pair) = (4+6)/36 = 10/36 = 5/18 =============================================== Cheers, Stan H.

Travel_Word_Problems/335060: John drives from Town A to Town B , a distance of 720 km , at a constant speed. When he returns from Town B to A, he saves an hour of travel time by increasing his average speed by 10 km/h. find the total time taken for the whole journey(to and fro) 1 solutions Answer 240128 by stanbon(57361)   on 2010-08-25 20:15:20 (Show Source): You can put this solution on YOUR website! John drives from Town A to Town B , a distance of 720 km , at a constant speed. distance = 720 km ; rate = x km/h ; time = 720/x hrs. ------------------------------------------------------------- When he returns from Town B to A, he saves an hour of travel time by increasing his average speed by 10 km/h. distance = 720 km ; rate = (x+10) km/h ; time = 720/( Find the total time taken for the whole journey(to and fro) Equation: time to - time from = 1 hr 720/x - 720/(x+10) = 1 --- Multiply thru by x(x+10) to get: 720(x+10) - 720x = x(x+10) 7200 = x^2+10x x^2+10x-7200 = 0 (x+90)(x-80) = 0 --- x = 80 km/h ; time to = 720/80 = 9 hrs. ----- x+10 = 90 km/h ; time from = 720/90 = 8 hrs. --- Total time = 9+8 = 17 hrs. ================== Cheers, Stan H. ==============

Probability-and-statistics/334646: A toy manufacturer wants to see how long, on average, a new toy captures 12 children's attention. He tests children selected at random and finds that their mean attention span is 7 minutes with a standard deviation of minutes. If we assume that attention spans are normally distributed at 29 minutes, find a 90% confidence interval for the mean attention span of children playing with this new toy. 1 solutions Answer 240126 by stanbon(57361)   on 2010-08-25 19:58:14 (Show Source): You can put this solution on YOUR website! A toy manufacturer wants to see how long, on average, a new toy captures 12 children's attention. He tests 12 children selected at random and finds that their mean attention span is 7 minutes with a standard deviation of ? minutes. If we assume that attention spans are normally distributed at 29 minutes, find a 90% confidence interval for the mean attention span of children playing with this new toy. A number is missing from your post. Cheers, Stan H.

Probability-and-statistics/334810: What is the difference between the null and alternative hypotheses statements in one-tailed and two-tailed tests? How do ethics affect your chosen level of significance Can anyone eplainthis to me...I am totally lost.???? 1 solutions Answer 240123 by stanbon(57361)   on 2010-08-25 19:52:00 (Show Source): You can put this solution on YOUR website! What is the difference between the null and alternative hypotheses statements in one-tailed and two-tailed tests? --- Two-tailed tests null is a statement of equality alternate is a statement of inequality ---------------------------- One-tailed test: null is a statement of equality altenate is a greater than or less than statement. ----------------------------- How do ethics affect your chosen level of significance Level of significance should be low (<= 1%) if people's health or severe economic impact might result from rejecting the null hypothesis. -------------------------- Level of significance can be higher (>= 10%) if the consequences of rejection are lower. ============================== Cheers, Stan H.

Expressions-with-variables/335040: write an equation to model the relationship in this table. (in a table) total cost change from $10 $10.00 $0 $9.00 $1.00 $7.50 $2.50 i have figured out some problems somewhat like this and i have asked my algebra teacher to explain and i still didn't understand what he meant. i would greatly appreciate your help. 1 solutions Answer 240114 by stanbon(57361)   on 2010-08-25 19:23:50 (Show Source): You can put this solution on YOUR website! write an equation to model the relationship in this table. (in a table) total cost change from $10 $10.00 $0 $9.00 $1.00 $7.50 $2.50 ------------- Amount owed = 10 - payment --- C(p) = 10 - p --- Note: When p = 10, c = 0 When p = 9, c = 1 Whne p = 7.50, c = 2.50 ============================ Cheers, Stan H.

Numeric_Fractions/335039: Im havin problems figuring this problem out (7-15)-2(-3+6) 1 solutions Answer 240113 by stanbon(57361)   on 2010-08-25 19:18:13 (Show Source): You can put this solution on YOUR website! (7-15)-2(-3+6) --- Evaluate each parenthesis to get: -8-2(3) = -8-6 = -14 ============ cheers, Stan H.

decimal-numbers/335038: how do i write 3.443 x 10 to the negative 7? that is to the power of a negative 7 in standard format. 1 solutions Answer 240111 by stanbon(57361)   on 2010-08-25 19:15:51 (Show Source): You can put this solution on YOUR website! how do i write 3.443 x 10 to the negative 7? that is to the power of a negative 7 in standard format. ---------------- You are dividing 3.443 by 10^7 --- That division moves the decimal point 7 places to the left. You get 0.0000003443 =========================== Cheers, Stan H.

Miscellaneous_Word_Problems/335035: are there two integers with a product of -12 and a sum of -3? 1 solutions Answer 240108 by stanbon(57361)   on 2010-08-25 19:13:07 (Show Source): You can put this solution on YOUR website! are there two integers with a product of -12 and a sum of -3? Check and differences of 1/12 ; 2/6 ;3/4 -------------------------------------------- No sum or difference add up to -3. --- Answer to your question: No ======================================================= Cheers, Stan H.

Permutations/335036: H0w many different ways can a classroom of 10 students elect a president, vice president and treasurer? 1 solutions Answer 240106 by stanbon(57361)   on 2010-08-25 19:10:03 (Show Source): You can put this solution on YOUR website! H0w many different ways can a classroom of 10 students elect a president, vice president and treasurer? --- 10 ways to pick a president. 9 ways to pick a vice present 8 ways to pick a treasurer ------ Total # of ways to pick P,VP,and T: 10*9*8 = 720 ways ================================= Cheers, Stan H.

Polynomials-and-rational-expressions/335030: simplify: x^5/2 - 2x^5 + 3x^5/2 Not even sure where to start. 1 solutions Answer 240105 by stanbon(57361)   on 2010-08-25 19:06:46 (Show Source): You can put this solution on YOUR website! simplify: x^5/2 - 2x^5 + 3x^5/2 --- The highest common power of "x" is x^(5/2) ---- Factor: = (x^(5/2))(1 - 2x^(5/2) + 3) --- = x^(5/2)(4 -2x^(5/2)) --- = 2x^(5/2)[2-x^(5/2)] ======================= Cheers, Stan H.

Linear_Equations_And_Systems_Word_Problems/335017: if i am teatching a class how would i teatch them how to solve 3-5(x+2)=3(x+1)+6 please include your work at each step of the process along with the final answer. 1 solutions Answer 240098 by stanbon(57361)   on 2010-08-25 18:59:13 (Show Source): You can put this solution on YOUR website! if i am teatching a class how would i teach them how to solve 3-5(x+2)=3(x+1)+6 ------------------- Your Problem: 3-5(x+2)=3(x+1)+6 Explain the distributive law and apply it to the parentheses on the left and on the right side to get: 3-5x-10 = 3x+3+6 ----- Simplify each side by combining "like" terms. -5x-7 = 3x+9 ----- Add 5x to both sides to get: -7 = 8x+9 Subtract 9 from both sides to get: 8x = -16 Divide both sides by 8 to get: x = -2 ----------------------------------------------- Teach the students how to check their answers so they will know if their answers are correct. 3-5(x+2)=3(x+1)+6 Substitute -2 for "x": 3-(-2+2) = 3(-2+1)+6 3-0 = 3(-1)+6 3 = -3+6 3 = 3 ===================== Tell the students this means they have found a numerical value that makes the original equal true when it is substituted for the letter "x". ===================== Cheers, Stan H. ===============

Miscellaneous_Word_Problems/335016: I'm a 5th grader stuck on a question. This is the problem. The product of .4 and another decimal is greater than .3 but less than .4. What are the least and greatest decimal to the nearest hundreth for the other factor? Please help. Thanks. 1 solutions Answer 240089 by stanbon(57361)   on 2010-08-25 18:36:12 (Show Source): You can put this solution on YOUR website! I'm a 5th grader stuck on a question. This is the problem. The product of .4 and another decimal is greater than .3 but less than .4. What are the least and greatest decimal to the nearest hundreth for the other factor? Please help. Thanks. ---------------------------- Can you solve the following? 0.3 < 0.4x < 0.4 ------------ Divide each piece of the inequaltiy by 0.4 to get: (0.3/0.4) < (0.4x/0.4) < (0.4/0.4) ----- 0.75 < x < 1 --- The "other" factor is greater than 0.75 and less than 1. ============================================================ Cheers, Stan H. ============

Length-and-distance/335008: If KL=x+0.5 LM=3x-2 KM=x+1.5 and it says find LM , what does it mean by find LM , solve it ? how do you solve it ? 1 solutions Answer 240086 by stanbon(57361)   on 2010-08-25 18:29:36 (Show Source): You can put this solution on YOUR website! If KL=x+0.5 LM=3x-2 KM=x+1.5 and it says find LM , what does it mean by find LM , solve it ? how do you solve it ? -------------- Draw a line segment with endpoints K and M. Put the point L somewhere between K and M. ---- Note: KM = KL+LM Substite: x+1.5 = x+0.5 + 3x-2 x + 1.5 = 4x-1.5 3x = 3 x = 1 _____ KM = x+1.5 = 1+1.5 = 2.5 KL = x+0.5 = 1+0.5 = 1.5 LM = 3x-2 = 3*1-2 = 1 -------------------------------- Cheers, Stan H.

Expressions-with-variables/335013: Write an expression that represents the volume of a pyramid. 1 solutions Answer 240079 by stanbon(57361)   on 2010-08-25 18:21:53 (Show Source): You can put this solution on YOUR website! I think you can Google that question. Cheers, Stan H.

expressions/335005: 6/5 to the 3rd power how do i solve this? 1 solutions Answer 240075 by stanbon(57361)   on 2010-08-25 18:20:26 (Show Source): You can put this solution on YOUR website! 6/5 to the 3rd power how do i solve this? ------------------ (6/5)^3 = (6/5)(6/5)(6/5) = 216/125 ======================================== Cheers, Stan H.

Exponents-negative-and-fractional/335004: How do you work out this problem? 125^1/3 1 solutions Answer 240070 by stanbon(57361)   on 2010-08-25 18:13:10 (Show Source): You can put this solution on YOUR website! How do you work out this problem? Let x = 125^1/3 --- Raise both sides to the 3rd power to get: x^3 = 125 --- x^3 = 5^3 x = 5 =========== Cheers, Stan H.

Linear-equations/334986: Translate the problem into a pair of linear equations in two variables. Solve the equations using elmination or substitution. State yor answer for the specified variables. don runs a charity fruit sale, selling boxes of oranges for $11 an boxes of grapefruit for $10. If he sold a total of 762 boxes and took in $8125 in all, then how many boxes of oranges did he sell? could someone please help me out Thank you so much. 1 solutions Answer 240067 by stanbon(57361)   on 2010-08-25 18:09:56 (Show Source): You can put this solution on YOUR website! Solve the equations using elmination or substitution. State yor answer for the specified variables. don runs a charity fruit sale, selling boxes of oranges for $11 and boxes of grapefruit for $10. If he sold a total of 762 boxes and took in $8125 in all, then how many boxes of oranges did he sell? --------------------------------- Equations: Boxes: O + G = 762 Value:11O + 10G = 8125 ----------------------------- Multiply thru the Boxes equation by 11: 11O + 11G = 11*762 11O + 10G = 8125 ----------------------- Subtract the 2nd from the 1st and solve for "G": G = 257 (# of boxes of grapefruit) ---- Since O+G = 762, O = 762-257 = 505 (# of boxes of oranges) ============================================================ Cheers, Stan H. ======================================