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# Recent problems solved by 'Alan3354'

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 Travel_Word_Problems/747579: How much would it cost in gas to travel 250 miles at \$3.80 per gallon and car gets 38 miles per gallon?1 solutions Answer 454985 by Alan3354(30983)   on 2013-05-11 14:24:21 (Show Source): You can put this solution on YOUR website!How much would it cost in gas to travel 250 miles at \$3.80 per gallon and car gets 38 miles per gallon? --------- Gallons used = 250/38 cost = (250/38)*3.80 in dollars
 Travel_Word_Problems/747580: If a plane travels 510 mph with the wind and 410 mph against the wind what is the speed of the plane with no wind and the speed of the wind 1 solutions Answer 454984 by Alan3354(30983)   on 2013-05-11 14:22:50 (Show Source): You can put this solution on YOUR website!If a plane travels 510 mph with the wind and 410 mph against the wind what is the speed of the plane with no wind and the speed of the wind ----------- The plane's airspeed is the average of the 2 groundspeeds. The windspeed is the difference between groundspeed and airspeed.
 Inequalities/747581: How would i solve |x-3<1| Please show all steps. I need an answer ASAP because it is due Monday.1 solutions Answer 454983 by Alan3354(30983)   on 2013-05-11 14:21:04 (Show Source): You can put this solution on YOUR website!How would i solve |x-3<1| -------------- You can't have the absolute value on the outside.
 Circles/747488: I'm stumped on this problem solving a system of equations with unknowns: A bridge across a river is built in the shape of a circular arc. The middle of the bridge is ten meters above the water, and twenty-seven meters from shore, the bridge is nine meters above the water. How wide is the river? I've constructed the drawing with the center of the bridge passing thru the y-axis. Here's the equations for the 4 points on the circle: (1) (-h)^2 + (10-k)^2 = r^2 (2) (w/2 - h)^2 + (-k)^2 = r^2 (3) (-w/2 - h)^2 + (-k)^2 = r^2 (4) (w/2-27-h)^2 + (9-k)^2 = r^2 Equation (1) h^2 + (10-k)^2 = r^2, since h=0, reduces to (10-k)^2 = r^2, or 10-k = r Equations (2) and (3) reduce to (w/2)^2 + k^2 = r^2, again since h=0 Equation (4) reduces to (w/2-27)^2 + (9-k)^2 = r^2, again since h=0 I can't seem to solve this system of equations, I've multiplied these out several times and tried to group or eliminate common factors, but I'm missing something. Can someone show me the steps? 1 solutions Answer 454978 by Alan3354(30983)   on 2013-05-11 13:58:48 (Show Source): You can put this solution on YOUR website!Did that answer your question? email me via the Thank You note if not.
 Age_Word_Problems/747457: when azra open a books there are two pages in front of her.The sum of the page number is 155.What are the page numbers/1 solutions Answer 454940 by Alan3354(30983)   on 2013-05-11 06:37:47 (Show Source): You can put this solution on YOUR website!when azra open a books there are two pages in front of her.The sum of the page number is 155.What are the page numbers/ ------- 155/2 = 77.5 --> 77 & 78
 test/747389: My algebra is too hard! I need help! My grades are going down but if I get low grades I'm gonna have to go to summer school and I can't because I'm going to Ireland!1 solutions Answer 454889 by Alan3354(30983)   on 2013-05-10 18:42:06 (Show Source): You can put this solution on YOUR website!My algebra is too hard! I need help! My grades are going down but if I get low grades I'm gonna have to go to summer school and I can't because I'm going to Ireland! -------------- What do you propose? You could ask for the easier algebra. You could have the Irish come to you.
 Age_Word_Problems/747318: Antonio rides his bike 7.3 miles to school. He wants to change his route so that he rides 4 miles less than twice the distance he is currently riding. Choose the equation that would be used to find the number of miles, m, of Antonio's new route. A. 4-2m=7.3 B. 7.3-m=4 C. 2m-7.3=4 D. 2(7.3)-4=m1 solutions Answer 454888 by Alan3354(30983)   on 2013-05-10 18:39:44 (Show Source): You can put this solution on YOUR website!Antonio rides his bike 7.3 miles to school. He wants to change his route so that he rides 4 miles less than twice the distance he is currently riding. Choose the equation that would be used to find the number of miles, m, of Antonio's new route. A. 4-2m=7.3 B. 7.3-m=4 C. 2m-7.3=4 D. 2(7.3)-4=m ================================== He's going 7.3 miles now, so it'll be 2*7.3, right?
 Miscellaneous_Word_Problems/747380: The value of Vc is 3.20 m/s and the value of Vd is 5.30 m/s. Calculate the distance traveled by the car from a time of 1.20 to 5.20 seconds. 1 solutions Answer 454887 by Alan3354(30983)   on 2013-05-10 18:37:38 (Show Source): You can put this solution on YOUR website!The value of Vc is 3.20 m/s and the value of Vd is 5.30 m/s. Calculate the distance traveled by the car from a time of 1.20 to 5.20 seconds. --------------- Is there some relation between the speeds and the times? If so, what?
 Travel_Word_Problems/747320: A boat running at its' top speed takes 3.0 hours to travel 12 km down a river. It then takes 5.0 hours to return to its' starting place. What is the velocity of the river?1 solutions Answer 454882 by Alan3354(30983)   on 2013-05-10 18:10:13 (Show Source): You can put this solution on YOUR website!A boat running at its' [sic] top speed takes 3.0 hours to travel 12 km down a river. It then takes 5.0 hours to return to its' [sic] starting place. What is the velocity of the river? ------------------- downstream speed = 12/3 = 4 km/hr upstream speed = 12/5 = 2.4 km/hr -------------- The boat's speed is the average = (4 + 2.4)/2 = 3.2 km/hr Current is the difference = 4 - 3.2 = 0.8 km/hr =================== PS There's no its' in English. It's its.
 real-numbers/747381: what is the discriminant of x^2 + 15x - 1 = 0 1 solutions Answer 454880 by Alan3354(30983)   on 2013-05-10 18:06:44 (Show Source): You can put this solution on YOUR website!what is the discriminant of x^2 + 15x - 1 = 0 -----------
 Linear-equations/747364: Which of the following set of legs can be those of a triangle? A. 11,6,2 B.14.2,21.7,36 C.11.5,23.6,12.1 D.12 2/5,19 8/15,31 9/101 solutions Answer 454879 by Alan3354(30983)   on 2013-05-10 18:05:35 (Show Source): You can put this solution on YOUR website!Which of the following set of legs can be those of a triangle? A. 11,6,2 B.14.2,21.7,36 C.11.5,23.6,12.1 D.12 2/5,19 8/15,31 9/10 -------------------- The length of the longest side of a triangle has to be more than the difference of the other 2 sides, and less than the sum of the other 2. ---- difference < long side < sum Check em out.
 test/747340: 2/3x + 45=931 solutions Answer 454877 by Alan3354(30983)   on 2013-05-10 18:03:22 (Show Source): You can put this solution on YOUR website!2/3x + 45=93 ------------- Is it (2/3)x? Or 2/(3x)?
 Problems-with-consecutive-odd-even-integers/747379: Find two consecutive integers such that 3 times the first integer is 4 more than 2 times the second integer.1 solutions Answer 454876 by Alan3354(30983)   on 2013-05-10 18:02:09 (Show Source): You can put this solution on YOUR website!Find two consecutive integers such that 3 times the first integer is 4 more than 2 times the second integer. ------------- n = 1st integer n+1 = 2nd integer ---- 3n = 2(n+1) + 4
 Triangles/747341: find A, b, and c, 18 degrees, divided by 15 c I 18 degrees, and b is divided by 151 solutions Answer 454872 by Alan3354(30983)   on 2013-05-10 17:57:53 (Show Source): You can put this solution on YOUR website!find A, b, and c, 18 degrees, divided by 15 c I 18 degrees, and b is divided by 15 ----------- idk what that means.
 Length-and-distance/747327: 1. Convert the dimension into micrometers. (48 x 60) 2. Convert the volume of the bathroom into cubic meters based on an empty room and a ceiling height of 8’-0”. (6’-0” x 11’-6”)1 solutions Answer 454871 by Alan3354(30983)   on 2013-05-10 17:56:58 (Show Source): You can put this solution on YOUR website!1. Convert the dimension into micrometers. (48 x 60) 48 x 60 what? ---------------- 2. Convert the volume of the bathroom into cubic meters based on an empty room and a ceiling height of 8’-0”. (6’-0” x 11’-6”) -------- Convert to inches. 1 inch = 0.0254 meters
 Polynomials-and-rational-expressions/747354: What is the factored form of 6w to the fourth power +15w to the second power.1 solutions Answer 454870 by Alan3354(30983)   on 2013-05-10 17:54:29 (Show Source): You can put this solution on YOUR website!What is the factored form of 6w to the fourth power +15w to the second power. --------- Use ^ (Shift 6) for exponents. 6w^4 + 15w^2
 Quadratic_Equations/747376: What is the formula for h when working with parabolas?1 solutions Answer 454869 by Alan3354(30983)   on 2013-05-10 17:52:54 (Show Source): You can put this solution on YOUR website!What is the formula for h when working with parabolas? ------------ I don't know. Where did you hear about that?
 expressions/747378: what is the excluded value of -s over 3s +41 solutions Answer 454868 by Alan3354(30983)   on 2013-05-10 17:51:51 (Show Source): You can put this solution on YOUR website!what is the excluded value of -s over 3s +4 ---------- It's the value of s that makes the denominator = 0.
 Quadratic_Equations/747356: Terry throws a ball straight up. The initial height of the ball is 3 feet and has an initial velocity of 32 feet per second. The function is modeled by: h(t) = -16t^2 + 32t + 3 How long is the ball in flight? Round answer to nearest hundredth. Which formula, process, etc. did you use to solve this problem? 1 solutions Answer 454857 by Alan3354(30983)   on 2013-05-10 16:32:14 (Show Source): You can put this solution on YOUR website!Terry throws a ball straight up. The initial height of the ball is 3 feet and has an initial velocity of 32 feet per second. The function is modeled by: h(t) = -16t^2 + 32t + 3 How long is the ball in flight? Round answer to nearest hundredth. Which formula, process, etc. did you use to solve this problem? -------------------- The equation is a parabola with the vertex at max height. Find the time at max ht. Axis of Symmetry is t = -b/2a = -32/-32 t = 1 Find max ht h(1) = -16 + 32 + 3 = 19 feet. ------------- Find the time to fall f(t) = -16t^2 + 19 Find t for f(t) = 0 -16t^2 + 19 = 0 t =~ 1.09 seconds ------ Total time in the air = 2.09 seconds
 Bodies-in-space/747351: If I took a plain sheet of paper (8 1/2 x 11") and folded it to make a cylinder length wise and then width wise, which cylinder would have the most volume.1 solutions Answer 454854 by Alan3354(30983)   on 2013-05-10 16:10:43 (Show Source): You can put this solution on YOUR website!If I took a plain sheet of paper (8 1/2 x 11") and folded it to make a cylinder length wise and then width wise, which cylinder would have the most volume. --------------- Vol of the taller cylinder = pi*4.25^2*11 Vol of the shorter one = pi*5.5^2*8.5 Compare them.
 logarithm/747355: Use your calculator to evaluate each logarithm then write the result in exponential form and check with the calculator. a) ln2 b) ln4 c) ln30 d) ln100 e) ln8750 f) ln0.1 g) ln0.0004 Can you please help me out? Thanks so much in advance Can you also show me the steps it would really help me understand:)1 solutions Answer 454853 by Alan3354(30983)   on 2013-05-10 16:08:15 (Show Source): You can put this solution on YOUR website!Use your calculator to evaluate each logarithm then write the result in exponential form and check with the calculator. a) ln2 Use a calculator. press 2, then ln. ------------ b) ln4 c) ln30 d) ln100 e) ln8750 f) ln0.1 g) ln0.0004
 logarithm/747357: Solve for x a) ln x = 1 b) ln x = 1.6 c) ln x = 3 d) ln x = 4.5 e) ln x = -2.2 Can you please help me out? Thanks so much in advance Can you also show me the steps it would really help me understand:)1 solutions Answer 454852 by Alan3354(30983)   on 2013-05-10 16:07:08 (Show Source): You can put this solution on YOUR website!Solve for x a) ln x = 1 x = e^1 = 1 ------- b) ln x = 1.6 x = e^1.6 You can get a number with a calculator. The rest are the same, just different numbers. ========================= c) ln x = 3 d) ln x = 4.5 e) ln x = -2.2
 test/747314: 8) Chose A, B, or C from the list below. X+Y=8 3x-5y=2 A) Inconsistent B) Consistent & Dependent C) Consistent & Independent1 solutions Answer 454837 by Alan3354(30983)   on 2013-05-10 14:39:10 (Show Source): You can put this solution on YOUR website!X+Y=8 3x-5y=2 A) Inconsistent B) Consistent & Dependent C) Consistent & Independent ---------- The slopes are not equal --> C
 Length-and-distance/747329: 1. Convert the dining room area into square millimeters. (12”-0” x 7’-11”)1 solutions Answer 454825 by Alan3354(30983)   on 2013-05-10 14:13:01 (Show Source): You can put this solution on YOUR website!1. Convert the dining room area into square millimeters. (12”-0” x 7’-11”) -------------- Convert L & W to inches. 1 inch = 25.4 mm Area = L*W
 Mixture_Word_Problems/747323: A 60 oz solution has a salt concentration of 20% . How many ounces of pure salt must be added to the solution to raise its concentration to 25% ? I wasn't sure but I kept getting 12 oz and 240 oz. I'm pretty sure both of them are wrong1 solutions Answer 454820 by Alan3354(30983)   on 2013-05-10 14:01:48 (Show Source): You can put this solution on YOUR website!A 60 oz solution has a salt concentration of 20% . How many ounces of pure salt must be added to the solution to raise its concentration to 25% ? ---------------- Algebra method: 60*20 + x*100 = (60+x)*25 100x + 1200 = 25x + 1500 75x = 300 x = 4 oz --------------- A logical method: 60*0.20 = 12 oz of salt --> 48 oz of water. 25% salt --> 75% water To make 48 oz of water = 75% the total solution = 64 oz 64 - 60 = 4 oz
 Mixture_Word_Problems/747224: How many ounces of ammonia are needed to create 200 ounces of the solution? The cleaning solution is made up of 3 parts ammonia to 2 parts water.1 solutions Answer 454775 by Alan3354(30983)   on 2013-05-10 10:02:20 (Show Source): You can put this solution on YOUR website!How many ounces of ammonia are needed to create 200 ounces of the solution? The cleaning solution is made up of 3 parts ammonia to 2 parts water. -------------- The ammonia is 3/5 (3/5)*200 = 120 ounces
 Rectangles/747231: Calculate the area of a rectangle with a length of 13.0 cm and a width of 76.0 mm.1 solutions Answer 454774 by Alan3354(30983)   on 2013-05-10 09:58:48 (Show Source): You can put this solution on YOUR website!Calculate the area of a rectangle with a length of 13.0 cm and a width of 76.0 mm. ----------- L = 13 cm W = 7.6 cm --- Area = L*W sq cm
 Money_Word_Problems/747230: f \$10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term? 1 solutions Answer 454773 by Alan3354(30983)   on 2013-05-10 09:56:43 (Show Source): You can put this solution on YOUR website!If \$10,000 is invested at 2 percent semi-annually for 5 years, what is the amount at the end of the term? =============================== ***** If you mean 2% per year compounded semi-anually you'll have to say that. =================== Do it like this one: ---- If \$10,000 is invested at 2 percent monthly for 5 years, what is the amount at the end of the term? ----------------- FV = PV*(1 + r)^t r = 2% = 0.02 per month t = 60 months ---- FV = 10000*(1.02)^60 FV = \$32810.38
 Money_Word_Problems/747229: If \$10,000 is invested at 2 percent monthly for 5 years, what is the amount at the end of the term?1 solutions Answer 454771 by Alan3354(30983)   on 2013-05-10 09:54:17 (Show Source): You can put this solution on YOUR website!If \$10,000 is invested at 2 percent monthly for 5 years, what is the amount at the end of the term? ----------------- FV = PV*(1 + r)^t r = 2% = 0.02 per month t = 60 months ---- FV = 10000*(1.02)^60 FV = \$32810.38
 Pythagorean-theorem/747214: Consider the three points A = (7, -3), B = (9, 1), and C = (11, 0). Find the length of each side of the triangle ABC.1 solutions Answer 454770 by Alan3354(30983)   on 2013-05-10 09:50:06 (Show Source): You can put this solution on YOUR website!Consider the three points A = (7, -3), B = (9, 1), and C = (11, 0). Find the length of each side of the triangle ABC. ---------------- AB =~ 4.472 -------------- Do the other 2 sides the same way.
 Linear_Equations_And_Systems_Word_Problems/747221: How many ounces would be required to cover a 4, 000 square-foot lawn?1 solutions Answer 454769 by Alan3354(30983)   on 2013-05-10 09:43:44 (Show Source): You can put this solution on YOUR website!How many ounces would be required to cover a 4, 000 square-foot lawn? ----------------- Not enough info.