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# Recent problems solved by 'josmiceli'

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 Graphs/732886: Given k is not equal to 0 and (k,2k) and (2k,6k) are two points on the graph of a line, what is the slope of this line?1 solutions Answer 448132 by josmiceli(9661)   on 2013-04-02 12:30:50 (Show Source): You can put this solution on YOUR website!(k,2k), (2k,6k) Use the point-slope formula slope = ( change in y ) / ( change in x ) The slope is 4
 Trigonometry-basics/732892: PLEASE HELP ME!!! How do I find the reference angle of -404 degrees?! (A)136 degrees (B) 134 degrees (c)46 degrees (d) 44 degrees 1 solutions Answer 448090 by josmiceli(9661)   on 2013-04-02 09:58:47 (Show Source): You can put this solution on YOUR website!This says to go around the unit circle 404 degrees in the clockwise direction. If you go around 360 degrees, you're back where you started, so you have degrees left to go in the clockwise direction. You now -44 degrees from the reference angle. I guess (D) is the answer, but it seems like the angle should be minus.
 Trigonometry-basics/732893: PLEASE HELP ME!!! How do i find the 6 trig functions of -7pi/2 Sin= csc= Cos= sec= tan= cot=1 solutions Answer 448087 by josmiceli(9661)   on 2013-04-02 09:52:40 (Show Source): You can put this solution on YOUR website! is telling you to rotate around the unit circle times in the clockwise direction in increments of . You know that if you rotate by 4 times, you will come back to where you started. That leaves that you have to rotate in the clockwise direction. The rotating arrow is now pointing in the positive vertical direction. This is the same angle as , so
 Miscellaneous_Word_Problems/732890: A father left 3/20 of his estate to his son, 3/5 to his wife, and 1/10 to his church. Th rest he gave to his daughter. What fraction was left for his daughter?1 solutions Answer 448085 by josmiceli(9661)   on 2013-04-02 09:36:52 (Show Source): You can put this solution on YOUR website! goes to son goes to wife goes to church There is 3/20 of the estate left for his daughter
 Rate-of-work-word-problems/732697: I need to pump water out of a swimming pool. My first pump will remove all the water in one hour. My second pump will remove all the water in four hours. How long will it take to remove all of the water in the pool using both pumps?1 solutions Answer 448036 by josmiceli(9661)   on 2013-04-01 21:28:41 (Show Source): You can put this solution on YOUR website!Add the rate of pumping It will take 48 min using both pumps check: OK
 Linear-systems/732757: Hello I'm really confused on my homework problem, it's: For a wedding, Shereda bought several dozen roses and several dozen carnations. The roses cost \$15 per dozen, and the carnations cost \$8 per dozen. Shereda bought a total of 17 dozen flowers and paid a total of \$192. How many roses did she buy? Thanks.1 solutions Answer 448031 by josmiceli(9661)   on 2013-04-01 21:20:48 (Show Source): You can put this solution on YOUR website! The problem only talks about dozens of flowers, so that is the unit to use Let = dozens of roses she bought = dozens of carnations she bought given: She bought 8 dozen roses check: OK
 Radicals/732682: We're solving radicals in Algebra, and I'm not sure how to do this problem. Thanks!1 solutions Answer 448012 by josmiceli(9661)   on 2013-04-01 19:41:59 (Show Source):
 Volume/732724: A cube has a volume of 66mm cubed. If the length of a side must be an integer, what is the volume of the next largest cube?1 solutions Answer 448007 by josmiceli(9661)   on 2013-04-01 19:33:03 (Show Source): You can put this solution on YOUR website!A cube with side = m has volume = mm3 This is smaller than mm3 The next larger integer side is , and the volume is mm3
 Geometry_Word_Problems/732715: an office building is 80ft tall by 60ft wide a scale model of the building is 9 inches wide which of the following what is the height? A.44in B.26in C.10in D.12in How do I figure this out1 solutions Answer 448005 by josmiceli(9661)   on 2013-04-01 19:26:57 (Show Source): You can put this solution on YOUR website!Set up a proportion: ( actual height ) / ( actual width ) = ( scaled height ) / ( scaled width ) Call the scaled height inches Multiply both sides by The scaled height is (D) 12 inches
 Rational-functions/732700: a ball is thrown vertically upward with an initial velocity of 128 feet per second. The distance in feet of the ball from the ground after t seconds is s=128t-16t^2. For what interval of time is the ball more than 240 above the ground?1 solutions Answer 448001 by josmiceli(9661)   on 2013-04-01 19:16:34 (Show Source): You can put this solution on YOUR website!There will be 2 solutions for You must solve for for both solutions and then find Use quadratic formula and The interval of time the ball is more than 240 above the ground is 2 sec Here's the plot:
 Rate-of-work-word-problems/732593: if one water pipe fills a swimming pool in x h. A second pipe takes 3h longer . The two pipes together fill the pool in 2h. How long will it take each pipe to fill the swimming pool separately?1 solutions Answer 447949 by josmiceli(9661)   on 2013-04-01 15:30:13 (Show Source): You can put this solution on YOUR website!The rate of filling for 1st pipe is: ( 1 pool filled / x hrs ) The rate of filling for 2nd pipe is: ( 1 pool filled / x + 3 hrs ) Add their rates of filling to get the rate with both pipes open Multiply both sides by Use quadratic formula ( can't use negative sqrt ) The 1st pipe will take 3 hrs to fill pool The 2nd pipe will take 6 hrs to fill pool check: OK
 logarithm/732620: 125 to the power of 4/3 = 625 Please put equation into logarithmic form.1 solutions Answer 447943 by josmiceli(9661)   on 2013-04-01 15:12:04 (Show Source):
 Triangles/732610: Why is a triangle with dimensions of 10in 12in and 16 in an obtuse triangle?1 solutions Answer 447938 by josmiceli(9661)   on 2013-04-01 15:09:34 (Show Source): You can put this solution on YOUR website!Because the angle opposite the 16 in side must be greater than 90 degrees for the triangle to be obtuse. For now, call the 16 in side If the opposite angle was exactly 90 degrees, then This is less than , so the angle opposite the in side must be greater than 90 degrees
 Triangles/732615: 11. A right triangle has legs with lengths x units and 7 units. The hypotenuse has length x+1 units. Find the perimeter of the triangle.1 solutions Answer 447934 by josmiceli(9661)   on 2013-04-01 14:59:16 (Show Source): You can put this solution on YOUR website!Use pythagorean theorem Subtract from both sides The perimeter is: --------------- check: OK
 Travel_Word_Problems/732463: a boat has a speed of 9.0 km/hr, in still water and is traveling down a river with a current of 2.0 m/s. What will be its "riverbank" velocity going down and then upstream? At what angle would this boat have to travel across the river in order to move straight across? Thank you :D1 solutions Answer 447855 by josmiceli(9661)   on 2013-04-01 02:34:59 (Show Source): You can put this solution on YOUR website!Going upstream, the speed along the riverbank is m/s Going downstream, the speed along the riverbank is m/s The boat should travel at angle , ( heading against the current ) so that This is m/s at angle , and m/s will bring the boat straight across. You can find
 Rate-of-work-word-problems/732453: After a snowstorm ken and beteena clear their drive way. ken can clear the snow by himself in four hours beteena can clear the snow in five.after beteena has been working for two hours ken is able to join her. how much longer will it take them working together to remove the rest of the snow?1 solutions Answer 447854 by josmiceli(9661)   on 2013-04-01 02:23:09 (Show Source): You can put this solution on YOUR website!Beteena can clear the snow in five hrs. In 2 hrs, working alone, she can clear of the driveway. That means is left to clear. --------------------- Add their rates of working to get rate working together. ( 1 driveway / 4 hrs ) + ( 1 driveway / 5 hrs ) = ( 3/5 d.w. / t hrs ) Multiply both sides by 1 hr plus 1/3 of an hr is 1 hr and 20 min --------------- check: OK
 Word_Problems_With_Coins/732166: Owen has \$2.92 in his piggy bank. He has two more pennies than he has quarters; he has 3 more dimes the he has quarters; and he has twice as many nickles as dimes. How many of each coin does he have in his piggy bank? Thank you online tutor! This problem is for an algebra class and is not homework, but is practice and im really unsure how to solve this. Explanation on the solution is much appreciated!1 solutions Answer 447642 by josmiceli(9661)   on 2013-03-31 10:46:08 (Show Source): You can put this solution on YOUR website!Let = number of pennies Let = number of nickels Let = number of dimes Let = number of quarters given: (1) ( in cents ) (2) (3) (4) -------------- Substitute (4) into (1) (1) --------------- Substitute (2) into (1) (1) --------------- Substitute (3) into (1) (1) (1) (1) (1) ------------- You can continue. I have to run and can't finish.
 Triangles/732174: A triangle has two sides that measure 2.5 cm and 16.5 cm. Which could be the measure of the third side? A. 5.5 cm B. 12.5 cm C. 14 cm D. 17 cm Im very confuse by this i need to learn the steps to solving problems like this.1 solutions Answer 447630 by josmiceli(9661)   on 2013-03-31 10:26:16 (Show Source): You can put this solution on YOUR website!You have to picture this triangle with the 3rd side being formed by the surface of a table and the 2.5 cm side and the 16.5 cm side above the table. The junction of the given sides have a hinge between them so you can make any size triangle you want with the 3rd side being the table's surface. -------------- Spread the hinged sides out so the given sides lay out flat on the table. Now you have the limit of how long the 3rd side can be- it is cm -------------- Now swing the 2.5 cm side back so it fold onto the 16.5 cm side and lay it on the table. This tells you the short limit of the 3rd side. It is --------------- So the 3rd side has to be between 19 and 14. It can't be 14 because that would be just a line. The answer is D. 17
 Age_Word_Problems/732168: At this moment a movie star is 5 times as old as her child. Five years ago she was 15 times as old as her child. How old is the movie star now? How old is her child? --Thanks online tutor! Any explanation is much appreciated!1 solutions Answer 447623 by josmiceli(9661)   on 2013-03-31 10:08:58 (Show Source): You can put this solution on YOUR website!Let = Movie star's age now Let = the child's age now = Movie star's age 5 years ago = child's age 5 years ago given: --------------------- By substitution: and Her child is 7 check: OK
 Money_Word_Problems/732083: a car dealer earns a 4% commission on all cars sold. last month, he earned \$7,200 in commission. he wants to earn \$8,000 in commission this month. what increase in total sales from last month's total sales does he need in order to reach his goal for this month? 1 solutions Answer 447508 by josmiceli(9661)   on 2013-03-30 17:46:39 (Show Source): You can put this solution on YOUR website!Let = last month's sales --------------- He wants to earn \$8,000 in commission this month. Let = increase in sales over last month's sales He must increase his sales by \$20,000 over last month's sales
 Equations/732052: A construction worker drops a hammer from the height of 50 feet. After how many seconds will the hammer land on the ground? Round your answer to the nearest hundredth. A) 0.63 sec B) 1.77 sec C) 2.00 sec D) 5.00 sec1 solutions Answer 447504 by josmiceli(9661)   on 2013-03-30 17:18:38 (Show Source): You can put this solution on YOUR website!The equation of motion is: You want to know in how many seconds the hammer will be at ft, which is the ground. sec answer:: (B)
 Mixture_Word_Problems/732067: Joey has a 25% antifreeze solution. He also has pure antifreeze. How much of the 25% solution and the pure antifreeze is needed to fill his 12- quart cooling system with a 50% antifreeze solution?1 solutions Answer 447495 by josmiceli(9661)   on 2013-03-30 17:04:58 (Show Source): You can put this solution on YOUR website!Let = quarts of 25% solution needed Let = quarts of pure antifreeze needed given: (1) (2) ------------------------- (2) (2) (2) (2) Subtract (1) from (2) (2) (1) and, since (1) (1) 8 quarts of 25% solution are needed 4 quarts of pure antifreeze are needed check: (2) (2) (2) (2) OK
 Money_Word_Problems/732073: The grade of a highway up a hill is 36%. How much change in horizontal distance is there if the vertical height of the hill is 550 feet? Express the answer to the nearest foot. 1 solutions Answer 447486 by josmiceli(9661)   on 2013-03-30 16:52:13 (Show Source): You can put this solution on YOUR website!( change in y ) / ( change in x ) = .36 Multiply both sides by ft
 Equations/732076: Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m= -5, (3, 2)1 solutions Answer 447479 by josmiceli(9661)   on 2013-03-30 16:44:06 (Show Source):
 Mixture_Word_Problems/732008: A grocer has two kinds of loose tea. One is worth \$5 per pound and the other is worth \$7 per pound. She mixes some of each kind of tea together to get a total of 50 pounds of a mixed tea worth a total of \$314.00. Let x = number of pounds of \$5/pound tea in the mixture y = number of pounds of \$7/pound tea in the mixture Use a system of equations that describes this situation to figure out how much of each kind of tea is in the mixture.1 solutions Answer 447432 by josmiceli(9661)   on 2013-03-30 12:29:36 (Show Source): You can put this solution on YOUR website!x = number of pounds of \$5/pound tea in the mixture y = number of pounds of \$7/pound tea in the mixture ------------ (1) (2) -------------------- Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) 18 pounds of \$5/pound tea are needed 32 pounds of \$7/pound tea are needed
 Travel_Word_Problems/731999: Paula took a total of 36 quizzes over the course of 4 weeks. After attending 10 weeks of school this quarter, how many quizzes will Paula have taken in total? Assume the relationship is directly proportional.1 solutions Answer 447426 by josmiceli(9661)   on 2013-03-30 12:16:03 (Show Source): You can put this solution on YOUR website!She is taking quizzes at the rate of quizzes/week quizzes/week She will take 90 quizzes in 10 weeks
 Rate-of-work-word-problems/731861: is it takes a man 1 hour to do a whole 3 meters long 3 meters wide and 3 meters deep how long will it take him to dig a hole 6 meters long 6 meters wide and 6 meters deep assuming he continues today at same rate of speed1 solutions Answer 447312 by josmiceli(9661)   on 2013-03-29 18:46:20 (Show Source): You can put this solution on YOUR website!Compare the volumes m3 m3 Now set up a ratio: It will take him 8 hrs
 Quadratic_Equations/731857: An object is thrown upward from the top of a 96-foot building with an initial velocity of 80 per second. The height h of the object after t is given by the quadratic equation h=16t+80t+96 When will the object hit the ground at when the time is how many seconds?1 solutions Answer 447309 by josmiceli(9661)   on 2013-03-29 18:41:19 (Show Source): You can put this solution on YOUR website!The equation should be: The object will hit the ground when , so Divide both sides by Using the quadratic equation: ( can't use the (+) square root, gives negative t ) The object hits the ground in 6 sec Here's the plot:
 Age_Word_Problems/731843: When I was 2 years my sister was twice my age; Now, I am 5 years old and My mum is 5 times my sister's age and my Dad is just older than my mother as my sister is older than me. In two years time, how old will my Dad be???1 solutions Answer 447295 by josmiceli(9661)   on 2013-03-29 16:18:59 (Show Source): You can put this solution on YOUR website!When I was 2 years my sister was 4 ( twice my age ) When I am 5, my sister is My Mum is ---------------------- My sister is always 2 years older than me, so My Dad is In 2 years, my Dad will be
 Mixture_Word_Problems/731838: A dairy needs 270 gallons of milk containing 6% butterfat. How many gallons of each milk containing 7% butterfat and milk containing 4% butterfat must be used to obtain the desired 270 gallons.1 solutions Answer 447294 by josmiceli(9661)   on 2013-03-29 16:05:37 (Show Source): You can put this solution on YOUR website!Let = gallons of 7% milk needed Let = gallons of 4% milk needed = gallons of butterfat in 7% milk = gallons of butterfat in 4% milk ------------ (1) (2) ------------ (2) (2) (2) Multiply both sides of (1) by and subtract (1) from (2) (2) (1) and, since (1) (1) (1) 180 gallons of 7% milk are needed 90 gallons of 4% milk are needed check: (2) (2) (2) OK
 Age_Word_Problems/731751: My granddaughter is about as many days as my daughter is weeks, and my granddaughter is as many months as I am years. My granddaughter, my daughter, and my age are equal to a century. What is my age in years?1 solutions Answer 447290 by josmiceli(9661)   on 2013-03-29 14:33:47 (Show Source): You can put this solution on YOUR website!Let = your daughter's age in years Let = you granddaughter's age in years ---------- given: (1) (2) (3) --------------------- (1) (1) By substitution: (3) (3) (3) and, since (1) (1) (1) and (2) (2) (2) Your age is 60 yrs check answer: (3) (3) ( approximately ) (3) OK