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 Rectangles/758996: what is the area of a rectangle that is 4 ft. long and 18 in. wide? Thank you1 solutions Answer 461759 by Alan3354(31518)   on 2013-06-18 10:40:01 (Show Source): You can put this solution on YOUR website!what is the area of a rectangle that is 4 ft. long and 18 in. wide? -------------- Area = L*W Change the units of either dimension so they match.
 Linear-systems/758929: 4(2y+3)/5= 5(2-y)/21 solutions Answer 461758 by Cromlix(708)   on 2013-06-18 10:22:26 (Show Source): You can put this solution on YOUR website!4(2y+3)/5= 5(2-y)/2 8y + 12/5 = 10 - 5y/2 Denominator = 10 8y + 12/5 = 10 - 5y/2 2(8y + 12) = 5(10 - 5y) ---------------------- 10 16y + 24 = 50 - 25y -------------------- 10 Collect like terms. Change signs as you cross = sign 41y - 26 ---------- 10 Hope this helps. :-)
 Money_Word_Problems/758953: Math Question--- A certain number of persons promised to subscribe equally to a girft of \$600, five of them failed to keep their promise, and each of the other increased his subscription by \$10. The exact amount required was obtained. How many persons suscribed. I have no idea how to do this question so PLEASE help! Thank you for your time and help! :D3 solutions Answer 461757 by MathTherapy(1483)   on 2013-06-18 10:18:23 (Show Source): You can put this solution on YOUR website! Math Question--- A certain number of persons promised to subscribe equally to a girft of \$600, five of them failed to keep their promise, and each of the other increased his subscription by \$10. The exact amount required was obtained. How many persons suscribed. I have no idea how to do this question so PLEASE help! Thank you for your time and help! :D Original number of subscribers = You can do the check!! Send comments and “thank-yous” to “D” at MathMadEzy@aol.com Answer 461751 by htmentor(807)   on 2013-06-18 09:31:03 (Show Source): You can put this solution on YOUR website!Let n = the number of people who had promised to contribute Let c = the pledged contribution amount Since the required amount was \$600, we have n*c = 600 The new number of contributors = n - 5, and their contribution amount = c + 10 The amount raised is still the same, so we can write (n-5)(c+10) = 600 Solve for c in the 1st equation, substitute in the 2nd: (n-5)(600/n+10) = 600 Multiply and collect terms: 600 + 10n - 3000/n - 50 = 600 10n - 3000/n - 50 = 0 Multiply through by n, divide by 10: n^2 - 5n - 300 = 0 Factor: (n+15)(n-20) = 0 This gives n=20 (positive solution) So the actual number of subscribers is 20-5 = 15 Their contribution was \$40 Check: 15*40 = (15+5)(40-10) = 20*30 = 600 Answer 461750 by stanbon(57967)   on 2013-06-18 09:29:38 (Show Source): You can put this solution on YOUR website!A certain number of persons promised to subscribe equally to a girft of \$600, five of them failed to keep their promise, and each of the other increased his subscription by \$10. The exact amount required was obtained. How many persons suscribed. ----- Let the original # of people be "x. Average contribution would be 600/x dollars. ---- New # of people is (x-5). --- Contribution from x-5 people = \$10 ----- Equation: (x-5)(x/600 + 10) = 600 -------------- (x-5)(x+6000)/600 = 600 --- (x-5)(x+6000) = 360000 -------------------------- x^2 + 6000x-5x-30000 = 360000 x^2 + 5995x = 390000 x^2 + 5995x - 390000 = 0 ------------------- x = 64.36... --- Note: That doesn't look right. The answer should be a whole number. ================ Cheers, Stan H. ================
 logarithm/758931: During an epidemic , the number of people who have never had the disease and who are not immune ( they are susceptible) decreases exponentially according to the function f(t) = 15,000e^-.05t, where t is time in day. find the number of susceptible people at each time. (a) at the beginning of the epidemic (b) after 10 days (c) after 3 weeks1 solutions Answer 461756 by Cromlix(708)   on 2013-06-18 10:15:19 (Show Source): You can put this solution on YOUR website!f(t) = 15,000e^-.05t a) At the beginning t = 0 f(t) = 15,000e^-.05x0 f(t) = 15,000e^0 as e^0 = 1 f(t) = 15,000 b) after 10 days f(t) = 15,000e^-.05 x 10 f(t) = 15,000e^-.5 f(t) = 9097.9 c) after 3 weeks f(t) = 15,000e^-.05 x 21 f(t) = 15,000e^-1.05 f(t) = 5249. Hope this helps. :-)
 Volume/758987: What is tge total area and volume of a cube whose face diagonal is 8 inches1 solutions Answer 461755 by Cromlix(708)   on 2013-06-18 10:00:05 (Show Source): You can put this solution on YOUR website!A square with a diagonal = 8ins 8^2 = 64 64/2 = 32 A side of this cube measures root 32 Volume of cube = length^3 (root 32)^3 = 128 square root 2 ins^3 Surface area = length^2 x 6 = (root 32)^2 x 6 = 192 inches^2 Hope this helps. :-)
 Equations/758978: find the difference between the product of 48 and 24 and the sum of 59 and 1381 solutions Answer 461754 by Cromlix(708)   on 2013-06-18 09:50:47 (Show Source): You can put this solution on YOUR website!product of 48 and 24 48 x 24 = 1152 Sum of 59 and 138 59 + 138 = 197 1152 - 197 = 955 Hope this helps. :-)
 Points-lines-and-rays/758982: What is the diagonal measurment of an opening measuring 4 feet and 6 inches by 4 feet and 1 inch.1 solutions Answer 461753 by Cromlix(708)   on 2013-06-18 09:47:14 (Show Source): You can put this solution on YOUR website!Pythagoras. Two sides of a right angled triangle Find the size of the hypotenuse. Change measurements into decimals 4ft 6 ins = 4.5 ft 4ft 1in = 4.08 ft Diagonal^2 = 4.5^2 + 4.08^2 Diagonal^2 = 36.9 Diagonal = square root of 36.9 Diagonal = 6.1ft (1 decimal place) Hope this helps. :-)
 Average/758981: tomeka has the following test scores in a history course: 82,76,64,90, and 74. what is the average of her course? 1 solutions Answer 461752 by Cromlix(708)   on 2013-06-18 09:40:33 (Show Source): You can put this solution on YOUR website!Add all your results and divide by the number of scores. 82+76+64+90+74 =386/5 Average = 77.2 Hope this helps. :-)
 Angles/758974: Find the measure of an angle if its measure is 3times of its supplement1 solutions Answer 461749 by Cromlix(708)   on 2013-06-18 09:15:15 (Show Source): You can put this solution on YOUR website!Two angles are supplementary if the sum of their angles equals 180 degrees The angle = x The other angle = 3x x + 3x = 180 4x = 180 x = 45 degrees Other angle = 135 degrees. Hope this helps :-)
 Probability-and-statistics/758878: If a bird's life is normally distributed with a mean of 9 months and a standard deviation of 3, what percent of the population lives less than 11 months.1 solutions Answer 461748 by stanbon(57967)   on 2013-06-18 09:11:21 (Show Source): You can put this solution on YOUR website!If a bird's life is normally distributed with a mean of 9 months and a standard deviation of 3, what percent of the population lives less than 11 months. ----- z(11) = (11-9)/3 = 2/3 --- P(x < 11) = P(z < 2/3) = 0.7475 =============== Cheers, Stan H. ===============
 Probability-and-statistics/758904: On a test, if 130 questions are answered and 33% of them are correct, what is the number of correct answers?1 solutions Answer 461747 by stanbon(57967)   on 2013-06-18 09:08:29 (Show Source): You can put this solution on YOUR website!On a test, if 130 questions are answered and 33% of them are correct, what is the number of correct answers? ------- Ans: (33/100)130 = 4290/100 = 42.9 correct Round up to 43 =================== Cheers, Stan H. ===================
 Probability-and-statistics/758912: a class of 45 is required to provide one fourth sheet of paper each.how many sheets of paper will the whole class need? 1 solutions Answer 461746 by stanbon(57967)   on 2013-06-18 09:05:52 (Show Source): You can put this solution on YOUR website!a class of 45 is required to provide one fourth sheet of paper each.how many sheets of paper will the whole class need? ---- Ans: 45(1/4) = 11 1/4 sheets =============================== Cheers, Stan H. ============
 Average/758917: if 3 fifth of the class is 15 students how many students are in the whole class 1 solutions Answer 461745 by ankor@dixie-net.com(15746)   on 2013-06-18 09:04:00 (Show Source): You can put this solution on YOUR website!Solve this x = 15
 Probability-and-statistics/758937: find the probability of drawing 2 spades one after the other without replacement from a well shuffled pack of 52 cards.1 solutions Answer 461744 by stanbon(57967)   on 2013-06-18 09:02:48 (Show Source): You can put this solution on YOUR website!find the probability of drawing 2 spades one after the other without replacement from a well shuffled pack of 52 cards. ------ # of ways to succeed: 13C2 = (13*12)/(1*2) = 78 ---------- # of possible outcomes: 52C2 = (52*51)/(1*2) = 1326 -------------- P(2 spades) = 78/1326 ======================== Cheers, Stan H. =================
 expressions/758955: if three times the number is added to twice the same number, the result is the sum of thrice the number an 10. find the number1 solutions Answer 461743 by Cromlix(708)   on 2013-06-18 08:52:35 (Show Source): You can put this solution on YOUR website!The number = x Three times the number + twice the number 3x + 2x Thrice the number + 10 3x + 10 3x + 2x = 3x + 10 Collect like terms. Change signs as you cross equal sign. 3x + 2x - 3x = 10 2x = 10 x= 5 15 + 10 = 15 + 10 Hope this helps. :-)
 Numbers_Word_Problems/758956: find the number that such the second number is 3 more than twice the first no.and the sum is 72 1 solutions Answer 461742 by Cromlix(708)   on 2013-06-18 08:47:19 (Show Source): You can put this solution on YOUR website!First no. = x Second no. = 3x x + 3x = 72 4x = 72 x = 18 First no. = 18 Second no. = 54 Hope this helps. :-)
 Angles/758970: Find the measure of an angle if its measure is 50 degrees more than the measure of its complement1 solutions Answer 461741 by Cromlix(708)   on 2013-06-18 08:44:00 (Show Source): You can put this solution on YOUR website!Two angles are complementary if the sum of their angles equals 90 degrees So, one angle is 40 degrees if it is 50 degrees more than its complement. Hope this helps. :-)
 Travel_Word_Problems/758967: If a car travels 60 km in 4 hours what speed is the car doing? 1 solutions Answer 461740 by Cromlix(708)   on 2013-06-18 08:39:52 (Show Source): You can put this solution on YOUR website!If a car is travelling at 60km for 4 hrs Speed = Distance/ Time It is travelling at an average speed of 15km/hr Hope this helps. :-)
 Triangles/758968: The measures of the angles in a triangle are in the extended ratio of 3:4:5. What is the smallest angle of the triangle? 1 solutions Answer 461739 by Cromlix(708)   on 2013-06-18 08:38:05 (Show Source): You can put this solution on YOUR website!Add all the ratios 3+4+5 = 12 180 degrees in a triangle. 3/12 x 180 = 45 4/12 x 180 = 60 5/12 x 180 = 75 Total = 180 So, smallest angle = 45 degrees. Hope this helps. :-)
 Linear-systems/758930: 2-3j/5=3-4j/61 solutions Answer 461738 by Menjax(41)   on 2013-06-18 06:25:00 (Show Source): You can put this solution on YOUR website!If you meant 2 -(3j/5)... J=15 If you meant (2-3j)/5... J=3/2
 Age_Word_Problems/758936: mark is five times older than his sister.if the sum of their ages three years ago is twenty seven. how old is mark1 solutions Answer 461737 by Menjax(41)   on 2013-06-18 06:20:54 (Show Source): You can put this solution on YOUR website!Let m be marks current age Let s be his sisters current age m=5s #1 (m-3) + (s-3) = 27 #2 From 1 5s-3+s-3=27 6s=33 s=11/2 m=55/2
 test/758943: 1 solutions Answer 461736 by Alan3354(31518)   on 2013-06-18 06:18:55 (Show Source):
 Equations/758939: (5*3)=(10+5)*3 1 solutions Answer 461735 by Menjax(41)   on 2013-06-18 06:16:53 (Show Source): You can put this solution on YOUR website!This equation is untrue :)
 Points-lines-and-rays/758941: THE MIDPOINT OF A LINE SEGMENT AB IS THE POINT (-1, 2).THE X COORDINATE OF A IS 5 AND THE Y-COORDINATE OF B IS -9,FIND THE POINTS OF A+B1 solutions Answer 461734 by Menjax(41)   on 2013-06-18 06:15:11 (Show Source): You can put this solution on YOUR website!First off please don't use caps to gain attention it's unnecessary... using formulas Mx=(x1+x2)/2 My=(y1+y2)/2 -1=(5+x2)/2 2=(y1-9)/2 Point A is at (5,-5) Point B is at (-7,-9)
 Age_Word_Problems/758940: Two years ago, a man was 7 times as old as his son. In 3 years time, he will be only 4 times as old as son. Find the present age of the man and of his son.1 solutions Answer 461733 by Menjax(41)   on 2013-06-18 06:10:20 (Show Source): You can put this solution on YOUR website!Defince unknowns Let M = Man's current age Let S = Son's current age Dissect the question to get your equations (M-2) = 7(S-2) #1 (M+3) = 4(S+3) #2 From #1 M = 7S-12 Sub above into #2 7S-9=4S+12 3S=21 S=7 Sub S into #1 M-2=7(7-2) M=37 So the man's current age is 37 years old and his son's age is 7 years old
 Quadratic_Equations/755455: s.s {-3,-1} 1 solutions Answer 461732 by GETASEW(1)   on 2013-06-18 05:46:30 (Show Source): You can put this solution on YOUR website!s.s {-3,-1}
 Probability-and-statistics/758924: Not really sure where to start on this problem. Any help you can give me would be greatly appreciated. Determine whether the distribution is a discrete probability distribution? x,P(x) 0,0.21 1,0.28 2,0.02 3,0.28 4,0.21 1 solutions Answer 461731 by reviewermath(604)   on 2013-06-18 04:35:18 (Show Source): You can put this solution on YOUR website!Q: Not really sure where to start on this problem. Any help you can give me would be greatly appreciated. Determine whether the distribution is a discrete probability distribution? x,P(x) 0,0.21 1,0.28 2,0.02 3,0.28 4,0.21 ------------------------------------------------------------- A: , the distribution is a discrete probability distribution because = 0.21 + 0.28 + 0.02 + 0.28 + 0.21 = .
 logarithm/758637: 2logx-2=log (x-25)1 solutions Answer 461730 by lwsshak3(6761)   on 2013-06-18 03:13:51 (Show Source): You can put this solution on YOUR website!2logx-2=log (x-25) 2logx-log (x-25)=2 x^2=100x-2500 x^2-100x+2500=0 (x-50)^2=0 x=50
 Trigonometry-basics/758803: Refer to the graph of y = tan x to find the exact values of x in the interval (−π/2, 3π/2) that satisfy the equation. (Enter your answers as a comma-separated list.) tan x = 1/square root of 3 1 solutions Answer 461729 by lwsshak3(6761)   on 2013-06-18 03:00:50 (Show Source): You can put this solution on YOUR website!Refer to the graph of y = tan x to find the exact values of x in the interval (−π/2, 3π/2) that satisfy the equation. (Enter your answers as a comma-separated list.) tan x = 1/square root of 3 *** x=π/6, 7π/6 in Q1 and Q3 where tan>0
 Trigonometry-basics/758863: find csc(theta), given that cos(theta)=(-(√2/2)) and cot(theta)=11 solutions Answer 461728 by lwsshak3(6761)   on 2013-06-18 02:49:27 (Show Source): You can put this solution on YOUR website!find csc(theta), given that cos(theta)=(-(√2/2)) and cot(theta)=1 Given data shows angle theta is in quadrant III where cos and sin<0, and cot>0 cot(theta)=1 theta=225º reference angle=45º sin(theta)=sin225º=-√2/2 csc(theta)=1/sin(theta)=-2/√2=-√2
 logarithm/758874: why is it necessary to check the solutions of a logarithmic equation.1 solutions Answer 461727 by lwsshak3(6761)   on 2013-06-18 02:30:40 (Show Source): You can put this solution on YOUR website!why is it necessary to check the solutions of a logarithmic equation. Because arguments of logarithms>0, that is, if the solution makes any of the arguments≤0, the solution is rejected. Example: log(x-5), x>5