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Recent problems solved by 'jorel1380'

jorel1380 answered: 2517 problems
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Geometry_Word_Problems/444956: The perimeter of a rectangle is 30 inches. The ratio of its width to length is 2 to 3. the length is how man inches? 1 solutions Answer 306641 by jorel1380(2518)   on 2011-05-04 14:59:06 (Show Source): You can put this solution on YOUR website! 2(2L)+2(3L)=30 4L+6L=30 10L=30 L=3 The dimensions are 9in.x6in..

Travel_Word_Problems/444992: A man misses the train by 2 minutes if he walks to the the station at an average speed of 4km/h. However, if he jogs at an average speed of 8km/h, he arrives at the station 5 and a half minutes before the time of departure. What is the distance to the train station? 1 solutions Answer 306640 by jorel1380(2518)   on 2011-05-04 14:56:05 (Show Source): You can put this solution on YOUR website! x/4-1/30=x/8+(11/2)/60 x/4-1/30=x/8+11/120 30x-4=15x+11 15x=15 x=1 kilometer..

Money_Word_Problems/444988: A farmer buys cattle and sheep for an amount of $53800. He buys 100 animals in total. The sheep were $250 each and the cattle were $730 each.How many sheep and how many cattle did he buy? 1 solutions Answer 306637 by jorel1380(2518)   on 2011-05-04 14:46:47 (Show Source): You can put this solution on YOUR website! x+y=100 250x+730y=53800 250x+250y=25000 480y=28800 y=60 x=40 The farmer bought 40 sheep and 60 cattle..

Average/445005: If I have a 70 average for a class and the final is worth 35% what do I need for a grade to get a 73 average 1 solutions Answer 306636 by jorel1380(2518)   on 2011-05-04 14:42:38 (Show Source): You can put this solution on YOUR website! .65(.70)+.35(x)=.73 .455+.35x=.73 .35x=.275 x=.275/.35=.786 You need a score of at least 78.6 to get a 73 average.

Travel_Word_Problems/445006: If a train traveled 34 miles in 20mins. How fast was the train going 1 solutions Answer 306635 by jorel1380(2518)   on 2011-05-04 14:35:45 (Show Source): You can put this solution on YOUR website! 60/20x34=102mph..

Numeric_Fractions/444679: Use an inequality to solve the problem. Be sure to show the inequality and all of your work. A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 33 marbles in it. At least how many green marbles does it have? 1 solutions Answer 306503 by jorel1380(2518)   on 2011-05-03 22:33:06 (Show Source): You can put this solution on YOUR website! x+2x≥33 3x≥33 x≥11 The bag has at least 11 marbles..

Travel_Word_Problems/444738: two cars leave flint at the same time, traveling in opposite directions. The car that is traveling north is moving 9 miles per hour faster than the car traveling south. If the two cars are 405 miles apart after 3 hours, find the speed of each car. 1 solutions Answer 306501 by jorel1380(2518)   on 2011-05-03 22:27:13 (Show Source): You can put this solution on YOUR website! 3x+3(x+9)=405 6x+27=405 6x=378 x=63 x+9=72..

Rectangles/444692: a rectangle has a perimeter of 60 centimeters and the base is 1 less than twice the height what is the area of the rectangle? 1 solutions Answer 306498 by jorel1380(2518)   on 2011-05-03 22:18:57 (Show Source): You can put this solution on YOUR website! 2h+2(2h-1)=60 2h+4h-2=60 6h=62 h=62/6 b=118/6 Area=203.222 cc's..

Inverses/444704: x + -6.7 = -0.6 1 solutions Answer 306496 by jorel1380(2518)   on 2011-05-03 22:12:53 (Show Source): You can put this solution on YOUR website! x+-6.7=-0.6 x=6.1..

Average/444712: Can you help me solve this inequality? 5 times some number is greater than 4 times the same number minus three 1 solutions Answer 306495 by jorel1380(2518)   on 2011-05-03 22:10:55 (Show Source): You can put this solution on YOUR website! 5x>4x-3 x>-3..

Numeric_Fractions/444678: Use an inequality to solve the problem. Be sure to show the inequality and all of your work. A shopkeeper is making a triangular sign for his store front, but he must keep the sign under 20 square feet to adhere to the zoning laws. If the base of the sign is 20 feet, what is the maximum height of the triangular sign? 1 solutions Answer 306494 by jorel1380(2518)   on 2011-05-03 22:07:12 (Show Source): You can put this solution on YOUR website! 1/2*20x<20 10x<20 x<2 The sign can be no more than 2 ft. high..

Travel_Word_Problems/444337: I have done similar problems like this I just don't get where the times factor in and I'm just very confused. Tom and Jerry live 180 miles apart from each other. At 8:00am, Tom leaves his house and drives towards Jerry's house at an average speed of 50mph. At 9:00am (one hour later), Jerry leaves his house and drives towards Tom's house at an average speed of 65mph. At what time do they meet each other? How far did each drive? 1 solutions Answer 306328 by jorel1380(2518)   on 2011-05-03 12:49:07 (Show Source): You can put this solution on YOUR website! 180-50=130 (50+65)x=130 115x=130 x=130/115=26/23=67.82 mins. Tom left an hour earlier, so he's been driving for 2 hrs,7.82 mins @50 mph, which equals 106.52 miles. Jerry drove 26/23 hrs @65mph which equals 73.48 miles..

Numbers_Word_Problems/444335: Two consecutive integers are such that one quarter of the first added to one seventh of the second is greater than 19. Determine the smallest possible values for the numbers. This is what I Started with: x/4 + y/7 < 19 but I don't know how to go any further with the sum. 1 solutions Answer 306327 by jorel1380(2518)   on 2011-05-03 12:39:30 (Show Source): You can put this solution on YOUR website! x/4+(x+1)/7>19 7x+4(x+1)>532 11x+4>532 11x>528 x>48..

Miscellaneous_Word_Problems/444334: If two planes leave the same airport a 1:00 pm, how many miles apart will they be at 3:00 pm if one travels directly north at 150mph and the other travels directly west at 200mph? A= 50miles B= 100 miles C= 500 miles D= 700 miles E= 1,000 miles 1 solutions Answer 306326 by jorel1380(2518)   on 2011-05-03 12:34:56 (Show Source): You can put this solution on YOUR website! (150+200)x2=700 miles..

Miscellaneous_Word_Problems/444332: If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it? A= .08 days B= 1.9 days C= 1.23 days D= 1.65 days E= 1.97 days 1 solutions Answer 306325 by jorel1380(2518)   on 2011-05-03 12:33:56 (Show Source): You can put this solution on YOUR website! 1/4+1/6+1/2=? 3/12+2/12+6/12=? 11/12=1/x 12/11=x It takes 12/11ths days for the three to complete a job..

Miscellaneous_Word_Problems/444329: If Steven can mix 20 drinks in 15 minutes, Sue can mix 20 drinks in 10 minutes, and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? A= 2 minutes and 44 seconds B= 2 minutes and 58 seconds C= 2 minutes and 10 seconds D= 3 minutes and 26 seconds E= 4 minutes and 15 seconds 1 solutions Answer 306324 by jorel1380(2518)   on 2011-05-03 12:31:19 (Show Source): You can put this solution on YOUR website! 20/15+20/10+20/15=20/x 40/30+60/30+40/30=20/x 140/30=20/x 600=140x 60/14=x=30/7 mins..

Quadratic_Equations/444327: The sum of a number and its square is 42. Find the number(s). The number(s) is/are ?. (use a comma to separate answers as needed) 1 solutions Answer 306322 by jorel1380(2518)   on 2011-05-03 12:27:35 (Show Source): You can put this solution on YOUR website! x+x2=42 x2+x-42=0 (x-7)(x+6)=0 x=7 or -6..

Evaluation_Word_Problems/444326: John is traveling to a meeting that is 29 miles away. He needs to be there in 30 minutes. How fast does he need to go to make it to the meeting on time? A= 25mph B= 37mph C= 41mph D= 49mph E= 56mph 1 solutions Answer 306321 by jorel1380(2518)   on 2011-05-03 12:26:22 (Show Source): You can put this solution on YOUR website! 29/(1/2 hour)=58 mph..

Quadratic_Equations/444321: The length of a rectangle is 23 centimeters less than six times its width. Its area is 35 square centimeters. Find the dimensions of the rectangle. The width is ? cm. 1 solutions Answer 306319 by jorel1380(2518)   on 2011-05-03 12:24:44 (Show Source): You can put this solution on YOUR website! w(6w-23)=35 6w2-23w-35=0 (6w+7)(w-5)=0 w=-7/6 or 5 Throwing out the negative answer, we get the width to be 5 cm., the length is 7 cm..

Triangles/444309: The height of a triangle is 4 times the length of the base. The area of the triangle is 18 square feet. Find the height and base of the triangle. 1 solutions Answer 306318 by jorel1380(2518)   on 2011-05-03 12:20:01 (Show Source): You can put this solution on YOUR website! 1/2(x)(4x)=18 4x2=36 x2=9 x=3 base=3, height=12..

Linear-systems/444275: the linear model C=400x+30000 represents the cost in dollars a company has in manufacturing x items during a month. based on this, how much does it cost to produce 700 items? 1 solutions Answer 306317 by jorel1380(2518)   on 2011-05-03 12:17:21 (Show Source): You can put this solution on YOUR website! 400(700)+30000=280000+30000=310000..

Age_Word_Problems/444072: Pat is 20 years older than his son. In two years, the sum of their ages will be 90. How old are they now? 1 solutions Answer 306202 by jorel1380(2518)   on 2011-05-02 20:35:13 (Show Source): You can put this solution on YOUR website! P=S+20 P+2+S+2=90 S+20+2+S+2=90 2S+24=90 2S=66 S=33 P=53 Pat is 53. His son is 33..

Human-and-algebraic-language/444041: Maaz Munir invested 7000 part at 7% and the other at 11% if his total return for one year was 690 how much was invested at each rate 1 solutions Answer 306199 by jorel1380(2518)   on 2011-05-02 20:32:13 (Show Source): You can put this solution on YOUR website! x+y=7000 .07x+.11y=690 7x+11y=69000 7x+7y=49000 4y=20000 y=5000 x=2000 $2000 was invested at 7%, $5000 at 11%..

Rectangles/444067: A rectangle is 5 feet longer than twice its width. If the rectangle has a perimeter of 88 feet, what are the dimensions of the rectangle? 1 solutions Answer 306198 by jorel1380(2518)   on 2011-05-02 20:29:10 (Show Source): You can put this solution on YOUR website! 2W+2(2W+5)=88 2W+4W+10=88 6W=78 W=13 L=31..

Rate-of-work-word-problems/444068: if it takes my sister 2 hours to clean her room. and it takes me 1 hour and 30 minutes to clean mine. How long would it take if we worked together? 1 solutions Answer 306194 by jorel1380(2518)   on 2011-05-02 20:25:49 (Show Source): You can put this solution on YOUR website! 1/120+1/90=? 3/360+4/360=7/360 It would take 360/7 minutes working together to clean a room.

Volume/444058: a cone has a height of 12 inches and a base with a radius of 16 centimeters what is the volume of the cone 1 solutions Answer 306193 by jorel1380(2518)   on 2011-05-02 20:21:18 (Show Source): You can put this solution on YOUR website! V=1/3πr2h V=1/3π256x30.48 V=2600πcc..

Quadratic_Equations/444063: x squared+5x+4=0 1 solutions Answer 306192 by jorel1380(2518)   on 2011-05-02 20:17:07 (Show Source): You can put this solution on YOUR website! x2+5x+4=0 (x+4)(x+1)=0 x=-4 or -1..

Mixture_Word_Problems/441057: How many gallons of a 40% alcohol solution must be mixed with 30 gallons of a 25% solution to obtain a solution that is 30% alcohol? 1 solutions Answer 306191 by jorel1380(2518)   on 2011-05-02 20:14:52 (Show Source): You can put this solution on YOUR website! .40x+30*.25=.30(x+30) .4x+7.5=.3x+9 .1x=2.5 x=2.5/.1=25 gallons..

Mixture_Word_Problems/441199: I have two word problems that I need help with. The first one is: An assistant receivs a 5% raise bringing her salary to $46,652. What was her salarly before her raise? #2Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $160 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pay he first $240, but only 20% of the rest. For what amount of medial bills will plan B save Giselle money? Asumme she has over $240 in bills 1 solutions Answer 306190 by jorel1380(2518)   on 2011-05-02 20:12:34 (Show Source): You can put this solution on YOUR website! 1.05x=46652 x=46652/1.05=44430.48 --------------- 160+.25x=240+.20x .05x=80 x=80/.05=1600 Plan B will save for bills over $1600..

Mixture_Word_Problems/441627: How much water must be added to a 3oo litre solution to vary its concentration from 25% to 20%? 1 solutions Answer 306189 by jorel1380(2518)   on 2011-05-02 20:09:37 (Show Source): You can put this solution on YOUR website! 300x.25=75 75/.20=375 You must add 75 liters of water to thin the concentration from 25% to 20%..

Mixture_Word_Problems/442805: A chemist needs 9 liters of a 50% salt solution. All she has available is a 20% salt solution and a 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution? Show work please. 1 solutions Answer 306188 by jorel1380(2518)   on 2011-05-02 20:06:59 (Show Source): You can put this solution on YOUR website! x+y=9 .20x+.70y=4.5 2x+7y=45 2x+2y=18 5y=27 y=27/5 x=18/5 She needs 18/5 liters 20% solution and 27/5 liters 70% solution..