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Travel_Word_Problems/679700: joe jogs 2.5 slower than kelly jogs. in the time that it takes joe to jog 30 miles, kathy can jog 40 miles. find the jogging speed of each person. 1 solutions Answer 422021 by Alan3354(31522)   on 2012-11-13 09:08:22 (Show Source): You can put this solution on YOUR website! joe jogs 2.5 slower than kelly jogs. in the time that it takes joe to jog 30 miles, kathy can jog 40 miles. find the jogging speed of each person. -------------- 2.5 what? If it's 2.5 mi/hr, r = Joe's rate ----- 30/r = 40/(r+2.5) 30r + 75 = 40r r = 7.5 mi/hr Kelly's rate = 10 mi/hr

Trigonometry-basics/679687: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the form a + bi.) (3 + sqrt 3i)^4 1 solutions Answer 422016 by Alan3354(31522)   on 2012-11-13 08:46:23 (Show Source): You can put this solution on YOUR website! (3 + sqrt 3i)^4 -------- Mag = 2sqrt(3) Angle = asin(sqrt(3)/(2sqrt(3)) = asin(1/2) Angle = 30 degs z = 2sqrt(3)cis(30) ------- z^4 = 144cis(120) = 144*-0.5 + 144i*sqrt(3)/2 = -72 + (72*sqrt(3))i

Volume/679589: Volume of rectangle is 315 cu. What is the length and width? 1 solutions Answer 421979 by Alan3354(31522)   on 2012-11-12 22:26:30 (Show Source): You can put this solution on YOUR website! Volume of rectangle is 315 cu. What is the length and width? ---------------- A rectangle is a plane figure, it has no volume.

test/679595: Square root x Times Square root 6 1 solutions Answer 421978 by Alan3354(31522)   on 2012-11-12 22:22:57 (Show Source): You can put this solution on YOUR website! Square root x Times Square root 6 ---- Do you have a question?

Problems-with-consecutive-odd-even-integers/679594: what are four consecutive integers whose sum is 234? 1 solutions Answer 421977 by Alan3354(31522)   on 2012-11-12 22:21:50 (Show Source): You can put this solution on YOUR website! what are four consecutive integers whose sum is 234? -------- Hint: 234/4 = 58.5, the center

test/679519: Find the complement of a 42 1/2 degree angle. 1 solutions Answer 421966 by Alan3354(31522)   on 2012-11-12 20:55:13 (Show Source): You can put this solution on YOUR website! Find the complement of a 42 1/2 degree angle. ---------- Subtract it from 90 degs

Angles/679454: Please help me find the measure of each marked angle: The measures must add to 180. I have the answers: 107 and 73. I'm just not sure how to get it. Not sure what step I'm missing. (10x+7) (7x+3) The next one has vertical angles and will have the same measure; The answer will be 75 for each, but I"m not sure why I am not getting it. (3x + 45) (7x + 5) I really appreciate your assistance. Joshua 1 solutions Answer 421959 by Alan3354(31522)   on 2012-11-12 20:30:31 (Show Source): You can put this solution on YOUR website! Please help me find the measure of each marked angle: The measures must add to 180. I have the answers: 107 and 73. I'm just not sure how to get it. Not sure what step I'm missing. (10x+7) (7x+3) If they add to 180, then (10x+7) + (7x+3) = 180 17x + 10 = 180 17x = 170 x = 10 etc. --------- The next one has vertical angles and will have the same measure; The answer will be 75 for each, but I"m not sure why I am not getting it. ------------------- I don't know what a "vertical angle" is. Angles are measured between 2 lines. Vertical is a direction. (3x + 45) (7x + 5)

Equations/679470: Angles 3x + 12 = 4x - 8 = x = These are the equations for the three sides of the 180 triangle. I do not get it. 1 solutions Answer 421955 by Alan3354(31522)   on 2012-11-12 20:21:30 (Show Source): You can put this solution on YOUR website! Angles 3x + 12 = 4x - 8 = x = These are the equations for the three sides of the 180 triangle. I do not get it. ----------------- Are those the sides? or the angles?

Travel_Word_Problems/679445: I am having a problem setting up this problem - Can you help me? At 8 am, the Smiths left a campground, driving at 48 miles per hour. At 8:20 am, the Garcias left the same campground and followed the same route, driving at 60 miles per hour. At what time did they overtake the Smiths? I know rate x time = distance but that is as far as I got. 1 solutions Answer 421951 by Alan3354(31522)   on 2012-11-12 19:55:34 (Show Source): You can put this solution on YOUR website! At 8 am, the Smiths left a campground, driving at 48 miles per hour. At 8:20 am, the Garcias left the same campground and followed the same route, driving at 60 miles per hour. At what time did they overtake the Smiths? --------------------- 20 min = 1/3 hour In 1/3 hour, the Smiths are 16 miles away (48 mi/hr * 1/3 hr) The Garcias gain on them at 12 mi/hr (60 - 48) d = r*t t = d/r = 16 mi/12 mi/hr = 1 1/3 hours = 1 hr 20 mins 8:20 + 1:20 = 9:40

Exponents/679449: How do you solve a^3 -------- a ^5 xiaoxianlee101@yahoo.com 1 solutions Answer 421950 by Alan3354(31522)   on 2012-11-12 19:52:22 (Show Source): You can put this solution on YOUR website! How do you solve a^3 -------- a ^5 -------------- It's not solved. Equations are solved. You can simplify it some. Divide NUM and DEN by a^3 -->

Rational-functions/679223: x^2=16x= -3 what value should be added to both sides of equation? 3? i think... 1 solutions Answer 421871 by Alan3354(31522)   on 2012-11-12 15:08:44 (Show Source): You can put this solution on YOUR website! x^2=16x= -3 ------- Too many equal signs.

Equations/679153: 2.3x10pr6 1 solutions Answer 421857 by Alan3354(31522)   on 2012-11-12 14:25:20 (Show Source): You can put this solution on YOUR website! 2.3x10pr6 ------------- Do you have a question?

test/679106: Word problems 1 solutions Answer 421799 by Alan3354(31522)   on 2012-11-12 10:43:34 (Show Source): You can put this solution on YOUR website! Word problems -------- word.

logarithm/679006: Find the value of the log in e^4 1 solutions Answer 421769 by Alan3354(31522)   on 2012-11-12 08:04:51 (Show Source): You can put this solution on YOUR website! Find the value of the log in e^4 -------------- There is no log in e^4

Mixture_Word_Problems/678970: How much water must be evaporated from 100 gallongs of a 4% brine solution to get a 5% brine solution? 1 solutions Answer 421687 by Alan3354(31522)   on 2012-11-11 21:35:08 (Show Source): You can put this solution on YOUR website! How much water must be evaporated from 100 gallongs of a 4% brine solution to get a 5% brine solution? ----------------- 4% has 4 gallons of salt. For 4 gallons to be 5%, Total solution = 4/0.05 = 80 gallons 100 - 80 = 20 gallons to be evaporated.

Numeric_Fractions/678971: what is 6/7 divided by 3 1 solutions Answer 421685 by Alan3354(31522)   on 2012-11-11 21:32:31 (Show Source): You can put this solution on YOUR website! what is 6/7 divided by 3 ------------- 6/3 = 2 --> 2/7

Expressions-with-variables/678809: how do I work this problem using the substitution method? -2x + y =16 4x + 18Y +48 1 solutions Answer 421632 by Alan3354(31522)   on 2012-11-11 16:47:08 (Show Source): You can put this solution on YOUR website! 4x + 18Y +48 ------- No equal sign.

Numbers_Word_Problems/678647: pls help me to solve this problem twice the product of two numbers is 350 and the square of there sum is 676. Find the numbers? 1 solutions Answer 421566 by Alan3354(31522)   on 2012-11-11 08:45:45 (Show Source): You can put this solution on YOUR website!

Exponential-and-logarithmic-functions/678475: Evaluate the exponential function for the given x-values. g(x) = 10x; x = -4 and x = 3 1 solutions Answer 421483 by Alan3354(31522)   on 2012-11-10 19:20:46 (Show Source): You can put this solution on YOUR website! Evaluate the exponential function for the given x-values. g(x) = 10x; x = -4 and x = 3 --------- 10x is not exponential. ---- g(x) = 10x g(-4) = 10*-4 = -4 --- Find g(3) the same way, sub 3 for x

logarithm/678498: Simplify ln(x^a*y^b/e^pie)-e^ln(pie^2) 1 solutions Answer 421459 by Alan3354(31522)   on 2012-11-10 16:31:40 (Show Source): You can put this solution on YOUR website! Simplify ln(x^a*y^b/e^pie)-e^ln(pie^2) --------- e^ln(pie^2) = pi^2 *** (it's the Greek letter Pi, not the dessert, pie) ln(x^a*y^b/e^pi) - (pi^2) Division --> subtract logs

Average/678407: If the average of 57 numbers is 85, what number must be added to give an average of 87? 1 solutions Answer 421388 by Alan3354(31522)   on 2012-11-10 11:57:17 (Show Source): You can put this solution on YOUR website! If the average of 57 numbers is 85, what number must be added to give an average of 87? --------------- (57*85 + n)/58 = 87 n + 4845 = 58*87 = 5046 n = 201

Age_Word_Problems/678368: When i was 2 years old, my sister was Half my age. now i m 80 years old, how old is my sister ?? 1 solutions Answer 421364 by Alan3354(31522)   on 2012-11-10 07:57:05 (Show Source): You can put this solution on YOUR website! duplicate

Age_Word_Problems/678399: when you were 2 year old your sister was half of your age now you are 100 years old how old is your sister 1 solutions Answer 421363 by Alan3354(31522)   on 2012-11-10 07:52:16 (Show Source): You can put this solution on YOUR website! duplicate

test/678275: A rope is square root 250. Rope is cut In two pieces, so that the length of pieces are in ratio 3:2. What is length of longer piece in radical form? 1 solutions Answer 421325 by Alan3354(31522)   on 2012-11-09 21:49:02 (Show Source): You can put this solution on YOUR website! A rope is square root 250. Rope is cut In two pieces, so that the length of pieces are in ratio 3:2. What is length of longer piece in radical form? -----------

Miscellaneous_Word_Problems/678355: Two ships leave a port at the same time and travel at the same speed. One ship is traveling due north and the other due east. In a few hours the ships are 150 miles apart. How many miles has each ship traveled? Give an exact answer and a one decimal place approximation. 1 solutions Answer 421324 by Alan3354(31522)   on 2012-11-09 21:47:14 (Show Source): You can put this solution on YOUR website! Two ships leave a port at the same time and travel at the same speed. One ship is traveling due north and the other due east. In a few hours the ships are 150 miles apart. How many miles has each ship traveled? Give an exact answer and a one decimal place approximation. ------------- 150 mi is the hypotenuse of a right angle isoceles triangle. ----- Solve for s

Equations/678360: -3/5x=3/10 1 solutions Answer 421320 by Alan3354(31522)   on 2012-11-09 21:33:29 (Show Source): You can put this solution on YOUR website! -3/5x=3/10 ---------- Cross multiply -3*10 = 5x*3 -30 = 15x x = -2

Geometry_Word_Problems/678259: i have a room 324 sq feet and i want to cover it with boards 1 x 8 x 10 how many boards will I need? The room is 18 x 18 with 8 feet ceilings 1 solutions Answer 421319 by Alan3354(31522)   on 2012-11-09 21:29:33 (Show Source): You can put this solution on YOUR website! i have a room 324 sq feet and i want to cover it with boards 1 x 8 x 10 how many boards will I need? The room is 18 x 18 with 8 feet ceilings -------------- I assume the boards are 8 inches by 10 feet, and 1 is the thickness ?? If that's not right, you'll have to supply dimensions with units. ---- Each board has an area of 8*10*12 = 960 sq inches. 324 sq ft = 324*144 sq inches = 46656 sq inches 46656/960 = 48.6 boards, IF you can cut them and put them together end to end without any loss (no sawdust). ----- With some scrap, the number of boards needed will increase.

test/678335: Simplest form of the expression? ^3squareroot750 + ^3squareroot 2058 - ^3squareroot48 1 solutions Answer 421317 by Alan3354(31522)   on 2012-11-09 21:16:31 (Show Source): You can put this solution on YOUR website! Simplest form of the expression? ^3squareroot750 + ^3squareroot 2058 - ^3squareroot48 ---------- What does ^3squareroot mean?

test/678363: i need help solving this problem and classify the number of terms (a-b)^2(a+b) 1 solutions Answer 421316 by Alan3354(31522)   on 2012-11-09 21:15:32 (Show Source): You can put this solution on YOUR website! i need help solving this problem and classify the number of terms (a-b)^2(a+b) ------------- = (a-b)*a-b)*(a+b) Multiply it, then count the terms. ---------- Make it easier: =

Exponents-negative-and-fractional/678357: y^-2 + y^-1 = 20 1 solutions Answer 421311 by Alan3354(31522)   on 2012-11-09 20:19:13 (Show Source): You can put this solution on YOUR website! y^-2 + y^-1 = 20 ----------- Multiply thru by y^2 ((((5y + 1)*(4y - 1) = 0}}} y = -1/5 y = 1/4

Polynomials-and-rational-expressions/678341: Find the value of b so that the equation will have exactly one rational solution. 12p^2+bp+3=0 1 solutions Answer 421310 by Alan3354(31522)   on 2012-11-09 20:14:30 (Show Source): You can put this solution on YOUR website! Find the value of b so that the equation will have exactly one rational solution. 12p^2+bp+3=0 ---------------- 2nd order equations ALWAYS have 2 solutions. Sometimes it's the same solution, multiplicity 2, but there are 2 solutions. --------------- To have the same solution twice, the discriminant = 0 b = -12 b = +12