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# Recent problems solved by 'josmiceli'

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 Graphs/547910: Write the equation for the following situation: In one U.S. town, the annual consumption, s, of sugar (in kg per person) can be estimated by adding 30 to half the years, t, since 1975. Then graph the equation and use the graph to determine the sugar consumption in the year 1991.1 solutions Answer 356650 by josmiceli(9678)   on 2011-12-15 16:19:53 (Show Source): You can put this solution on YOUR website!given: here's the plot: is plotted on the vertical axis is plotted on the horizontal axis Go to since 1975 + 16 = 1991 looks like about
 Polynomials-and-rational-expressions/547898: how do you solve 2-4i divided by 3+i1 solutions Answer 356648 by josmiceli(9678)   on 2011-12-15 16:12:00 (Show Source): You can put this solution on YOUR website! This isn't actually "solving". It is really "simplifying" Multiply top and bottom by Divide top and bottom by answer check the answer: multiply both sides by OK
 Percentage-and-ratio-word-problems/547852: A sold an article to B for a gain of 10%.B sold it to C for a gain of 15%.If C paid €25.30,how much did A and B pay for it?1 solutions Answer 356600 by josmiceli(9678)   on 2011-12-15 14:05:26 (Show Source): You can put this solution on YOUR website!Let = price A paid for it B got it for C got it for given: and A paid 20 for it B paid 22 for it
 Complex_Numbers/547853: What is (7+6i)-(4+2i)+(10+10i) in a + bi form?1 solutions Answer 356598 by josmiceli(9678)   on 2011-12-15 13:58:21 (Show Source):
 Rate-of-work-word-problems/547846: one pipe can fill a tank in 12 hours, and another can fill the tank in 8 hours. how long will it take both pipes working together to fill the tank?1 solutions Answer 356597 by josmiceli(9678)   on 2011-12-15 13:56:03 (Show Source): You can put this solution on YOUR website!Add their rates of filling 1st pipe's rate = ( 1 tank ) / ( 12 hrs ) 2nd pipe's rate = ( 1tank ) / ( 8 hrs ) Let = hrs to fill tank using both pipes Multiply both sides by It will take 4 hrs and 48 min with both pipes
 Mixture_Word_Problems/547835: how many ounces of pure water must be mixed with 50 ounces of a 15% saline solution to make a solution that is 10% salt?1 solutions Answer 356593 by josmiceli(9678)   on 2011-12-15 13:51:06 (Show Source): You can put this solution on YOUR website!Let = ounces of pure water needed given: = ounces of salt in 15% solution --------------- 25 ounces of pure water are needed
 �t�e�s�t/547839: out of a 46 question test,if i miss 22 problens, whats my score1 solutions Answer 356591 by josmiceli(9678)   on 2011-12-15 13:45:22 (Show Source): You can put this solution on YOUR website!If you miss 22, then you got right. You got 52%
 Volume/547843: firewood is often sold by the cord. a cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. what is the volume of a cord of wood in cubic feet?1 solutions Answer 356589 by josmiceli(9678)   on 2011-12-15 13:42:24 (Show Source): You can put this solution on YOUR website! ft3 ft3
 Inequalities/547840: 9 3/4 acres of land are divided into lots of at least 2/3 acres each. What is the maximum number of lots that can be created1 solutions Answer 356588 by josmiceli(9678)   on 2011-12-15 13:40:37 (Show Source): You can put this solution on YOUR website!9 3/4 = 39/4 and --------------------- ( total acres ) / ( acres per lot ) = number of lots = 14 5/8 If you cannot create part of a lot, then the maximum is 14 lots. That means they each will be slightly more than 2/3 acre each
 Travel_Word_Problems/547829: the departure times for two buses are shown below. (Bus a: departs at 9:00 A.M) and Bus b departs at 9:15 A.M.) Bus A travels at a rate of 20 miles per hour, and bus B travels at a rate of 24 miles per hour. At what time will theb uses hve traveled the same distance? 1 solutions Answer 356587 by josmiceli(9678)   on 2011-12-15 13:32:35 (Show Source): You can put this solution on YOUR website!This is just another way of saying " At what time will the busses meet? " The key is: " How much of a head start over B does A have? In 15 min, bus A goes mi mi ---------------- Start a stopwatch when bus B leaves and call the time when they meet Let = distance B will now travel equation for bus A: (1) equation for bus B: (2) substitute (2) into (1) (1) (1) (1) hrs They will have traveled the same distance in 1 hr and 15 min, which will be 9:15 + 1.25 = 10:30 check answer: (2) (2) and (1) (1) (1) OK
 Complex_Numbers/547830: what is the product of the complex numbers 4-3i and 3-3i1 solutions Answer 356586 by josmiceli(9678)   on 2011-12-15 13:12:51 (Show Source):
 Functions/547806: Determine the domain of the function f(x)= 4/(x-1)^31 solutions Answer 356585 by josmiceli(9678)   on 2011-12-15 13:07:23 (Show Source): You can put this solution on YOUR website! cannot be since that would make the denominator , and division by zero is not allowed. The domain would be
 Angles/547825: one angle of a triangle is 20 degrees more than the smallest angle. another angle is 8 degrees less than the smallest angle. what is each angle?1 solutions Answer 356584 by josmiceli(9678)   on 2011-12-15 13:01:09 (Show Source): You can put this solution on YOUR website!Did you copy this right? How can an angle be 8 degrees LESS than the smallest angle?
 Travel_Word_Problems/547814: Two hikers, Alan and Ben, are 8.2 miles apart and walking towards each other. they meet in 2 hours. Find the rate of each hiker if Ben walks 0.5 mph faster than alan. Alans rate of speed Ben rate of speed..1 solutions Answer 356583 by josmiceli(9678)   on 2011-12-15 12:58:32 (Show Source): You can put this solution on YOUR website!You can think of 1 hiker as standing still and the other approaching him at the sum of their speeds. Let = Alan's speed in mi/hr = Ben's speed in mi/hr = the sum of their speeds ------------------------------ given: Alan's speed is 1.8 mi/hr Ben's speed is 2.3 mi/hr
 Surface-area/547817: A regular hexagon has a perimeter of 54cm. What is the measurement of each angle?1 solutions Answer 356581 by josmiceli(9678)   on 2011-12-15 12:50:27 (Show Source): You can put this solution on YOUR website!All regular hexagons have the same shape and can be scaled up or down to be the exact same size as any other regular hexagon, so the perimeter doesn't matter. ------------- Pick any vertex and draw lines to the other vertexes. You will have 4 triangle is the sum of all the 6 exterior angles Each angle measures 120 degrees
 Polynomials-and-rational-expressions/547620: Essay question: show all work. Suzie’s flower shop estimates that supplies costs for one month will be given by the polynomial x2 – 3x + 6. She estimates that utilities costs for one month is given by 7x – 9. Find and simplify an expression that would estimate Suzie’s total costs for one month.1 solutions Answer 356443 by josmiceli(9678)   on 2011-12-14 22:24:15 (Show Source):
 Rate-of-work-word-problems/547604: with both hot and cold water running, a bathtub can be filled in 10 minutes. The drain will empty the tub in 15 minutes. A child turns both faucets on and leaves the drain open. How long will it be before the bathtub starts to overflow?1 solutions Answer 356440 by josmiceli(9678)   on 2011-12-14 22:11:58 (Show Source): You can put this solution on YOUR website!Sum up the rates of filling and draining to get the rate with both faucets open and drain open -------------- ( 1 tub ) / ( 10 min ) = rate of filling with both faucets open ( 1 tub ) / (15 min ) = rate of emptying with drain open -------------- Let = time to fill tub in min Multiply both sides by In 30 min the tub will start to overflow
 Linear_Equations_And_Systems_Word_Problems/547529: You make candles and sell them for \$15 each. The materal to make up to 20 candles cost \$20. How many candles must you sell to have a profit of \$85?1 solutions Answer 356420 by josmiceli(9678)   on 2011-12-14 20:19:16 (Show Source): You can put this solution on YOUR website!One candle cost \$1 to make The profit per candle is Profit for making candles is ------------------- You must sell 7 candles to make an \$85 profit
 Age_Word_Problems/547507: Jesse has a puppy whose age in months is half Jesse's age in years. In five years, the puppy's age in months will be five more than twice Jess'es age in years. What is the puppy's current age?1 solutions Answer 356415 by josmiceli(9678)   on 2011-12-14 20:06:48 (Show Source): You can put this solution on YOUR website!I will put all the data in terms of months Let = puppy's current age in months Let = Jesse's age in months given: (1) (2) -------------------------- This is 2 equations and 2 unknowns, so it's solvable (1) (2) (2) Substitute (1) into (2) (2) (2) (2) (2) (2) (2) and (1) (1) (1) The puppy's age is 18 months and 10 days --------------------------------- check: Jesse's age in years is The puppy's age in months is 1/2 Jesse's age in years --------------- In 5 years, the puppy's age in months will be Twice Jesse's age in years in 5 years will be OK
 Inequalities/547448: oh sorry can you help me?: write the equation -9x+15y=45 in slope-intercept form. then "quick: graph the line described by the equation.1 solutions Answer 356388 by josmiceli(9678)   on 2011-12-14 18:31:50 (Show Source): You can put this solution on YOUR website! Divide both sides by Add to both sides Divide both sides by answer
 Equations/547422: What's 8t + 3 over 5 = 8? URGENT!!!1 solutions Answer 356384 by josmiceli(9678)   on 2011-12-14 17:44:35 (Show Source): You can put this solution on YOUR website! Multiply both sides by Subtract from both sides
 Travel_Word_Problems/547401: Two cars leave town at the same time trabeling in opposite directions One car travels at 65 miles per hour and the second at 45 miles per hour. In how many hours will the be 385 miles apart?1 solutions Answer 356382 by josmiceli(9678)   on 2011-12-14 17:38:32 (Show Source): You can put this solution on YOUR website!Add their speeds They will be 385 mi apart in 3.5 hrs
 Equations/547412: How do you write an equation of this line: The slope 3/5 and the y-intercept (0,4).1 solutions Answer 356381 by josmiceli(9678)   on 2011-12-14 17:33:09 (Show Source): You can put this solution on YOUR website! This is in the form , where = slope = y-intercept
 Exponents/547414: WHAT IS THE LCD OF X,X-10. HOW DO YOU SOLVE.1 solutions Answer 356380 by josmiceli(9678)   on 2011-12-14 17:29:48 (Show Source): You can put this solution on YOUR website!The LCD is
 Circles/547403: how do you break 6feet 6inches into two problems then add them together-in trying to convert a basket ball player's height for a project1 solutions Answer 356379 by josmiceli(9678)   on 2011-12-14 17:28:37 (Show Source): You can put this solution on YOUR website!6 feet 6 inches can be expressed as 6.5 feet or inches
 Miscellaneous_Word_Problems/547379: If 90 feet of wire weighs 18 pounds, then what will 100 feet of the same type of wire weigh? 1 solutions Answer 356370 by josmiceli(9678)   on 2011-12-14 16:31:11 (Show Source): You can put this solution on YOUR website!1 foot of wire weighs pounds 100 ft of wire weighs pounds
 Average/547370: Out of 100% total points. My son has an 85% as a semester grade. His final counted as 20% of final grade. he made a 65% on the final. What would his course average grade be.1 solutions Answer 356363 by josmiceli(9678)   on 2011-12-14 16:23:07 (Show Source): You can put this solution on YOUR website!His weighted average is His course average grade is 81%
 test/547369: What is the y intercept of the exponintal equation, y=(10)5^x1 solutions Answer 356360 by josmiceli(9678)   on 2011-12-14 16:18:29 (Show Source): You can put this solution on YOUR website!The y-intercept occurs where x = 0 Use the rule that says " Anything raised to the zero power = 1" --------------- Let The y-intercept is at (0,10)
 Travel_Word_Problems/547368: Joe drove 225 miles using 8 gallons of gas. At this rate, how many gallons of gas would he need to drive 405 miles? 1 solutions Answer 356356 by josmiceli(9678)   on 2011-12-14 16:14:03 (Show Source): You can put this solution on YOUR website!How far can he go on 1 gallon of gas? mi He needs 14.4 gallons to drive 405 mi ------------------------------ This makes sense, because twice 225 is 450 miles and that would require gallons
 Linear-equations/547364: How do you solve y= 4x-2? please help(: thank you in advance. 1 solutions Answer 356352 by josmiceli(9678)   on 2011-12-14 16:08:53 (Show Source): You can put this solution on YOUR website!You can't solve it. This is an equation with 2 variables, x and y. The only way to solve it is if you assign a value to either x or y. Then you can find the other variable. For example, if I say , then --------------- Another way is if you have 2 equations and These intersect at 1 point, (x,y), and the intersection is the solution Here's the plot of these 2 lines:
 Human-and-algebraic-language/547344: Mary can paint her apartment in 5 hours. Jim can paint it in 7 hours. If they work together, how long will it take to paint Mary's apartment?1 solutions Answer 356351 by josmiceli(9678)   on 2011-12-14 16:00:39 (Show Source): You can put this solution on YOUR website!add their rates of painting Mary's rate: ( 1 apt ) / ( 5 hrs ) Jim's rate: { 1 apt. ) / ( 7 hrs ) Working together: ( 1 apt. ) / ( x hrs ) ---------------- Multiply both sides by This is 2 and 11/12 It will take them 2 hrs and 55 min working together