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Recent problems solved by 'josmiceli'

josmiceli answered: 9669 problems
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logarithm/585376: Write the expression as a single log. Simplify. 1/2log9+3log2-2log(5x) 1 solutions Answer 373318 by josmiceli(9671)   on 2012-03-11 13:01:37 (Show Source): You can put this solution on YOUR website!

percentage/585382: What is 15% less than 60? 1 solutions Answer 373314 by josmiceli(9671)   on 2012-03-11 12:53:28 (Show Source): You can put this solution on YOUR website! 51 is 15% less than 60

Percentage-and-ratio-word-problems/585374: Should this all be converted to decimals? Unable to solve this one. Mark's weight is 110% of Steve's weight. The ratio of Joseph's weight to Tim's weight is 10 : 11. The ratio of Carl's weight to Mark's weight is 6 : 7. Carl's weight is 120% of Joseph's weight. Who weighs the least? 1 solutions Answer 373312 by josmiceli(9671)   on 2012-03-11 12:51:49 (Show Source): You can put this solution on YOUR website! let their weights = Mark's = Steve's = Joseph's = Tim's = Carl's = ------------ To convert decimals, move decimal point 2 places to the left given: (1) (2) (3) (4) ----------- Normally you couldn't solve this for all their weights because there are 5 unknowns and only 4 equations. They only want the one who weighs the least, so I can find that. ----------- (3) tells me Mark weighs more than Carl (4) tells me Carl weighs more than Joseph So far the order is Mark Carl Joseph Now substitute (1) into (3) (3) (3) (3) (3) So, Steve weighs more than Carl, but (1) says Mark weighs more than steve, so the order now is Mark Steve Carl Joseph ------------ (2) says Tim weighs more than Joseph No matter where Tim fits in, Joseph Has to weigh the least Hope I got it

Linear-equations/585371: Find any intercepts. Then graph the linear equation x-4y=12 1 solutions Answer 373301 by josmiceli(9671)   on 2012-03-11 12:16:54 (Show Source): You can put this solution on YOUR website! To find x-intercept: (1) Set (2) Solve for -------------- To find y-intercept: (1) Set (2) Solve for -------------- -------------- -------------- Here's a plot

Equations/585228: solve: (2m-9)(6+5m)=(10m+15)(m-2) I am not understanding how to do these! 1 solutions Answer 373222 by josmiceli(9671)   on 2012-03-10 21:55:17 (Show Source): You can put this solution on YOUR website! All you have to know is this general idea: Practice this: Now write it this way: Now do what I did above: Do the addition: It's the same as -------------------------- Now do it a little differently ----------------------- Once you are good at this, you can do ------- You can check this. Make or any number Now go back to ( the same answer ) -------------------- Just practice, practice, and do this number substitution to check results Hope this helps

Quadratic_Equations/585163: A small painting has an area of 400 cm 2 . The length is 4 more than 2 times the width. Find the dimensions of the painting. Solve by completing the square. Round answers to the nearest tenth of a centimeter. 1 solutions Answer 373171 by josmiceli(9671)   on 2012-03-10 17:45:11 (Show Source): You can put this solution on YOUR website! Let = the width = the length given: cm2 Complete the square: The width is 14.2 cm The length is 30.3 cm check answer: close enough

Average/585095: Average of 4 numbers is 60. Three numbers are 65,50 and 70. Find the fourth number. 1 solutions Answer 373100 by josmiceli(9671)   on 2012-03-10 12:54:21 (Show Source): You can put this solution on YOUR website! Multiply both sides by check answer: OK

Money_Word_Problems/585072: Corporate Downsizing.- In an effort to cut costs, a corporation has decided to lay off 5 employees every month until the number of employees totals 465. If 510 people are now employed, how many months will it take to reach the employment goal? 1 solutions Answer 373062 by josmiceli(9671)   on 2012-03-10 10:56:43 (Show Source): You can put this solution on YOUR website! It will take 9 months

Travel_Word_Problems/585033: Two rabbits start at a point P on a circular track and move in opposite directions. One travels at a speed of 11 ft/sec and the other at a speed of 8 ft/sec. If they start at the same time and stop when they meet again at point P, then the number of times they meet excluding the start and finish is 1 solutions Answer 373037 by josmiceli(9671)   on 2012-03-10 04:57:46 (Show Source): You can put this solution on YOUR website! Say the distance around the track is ft The time for the faster rabbit is sec to go completely around. In this amount of time, the slower rabbit has gone ft The slower rabbit has to go some whole multiple of in order to meet the faster rabbit at the starting point The 1st whole multiple of is where is the number of times around for the slower rabbit ---------------------- Excluding the start and finish, they meet times Hope I got it

Proportions/585034: Ann bought 30 pens at RS 4.50 each. If she had used this amount of money to buy pencils at 3 for RS 5, how many pencils could she have bought? I have solved this question, the answer is 81 but I have to explain to the 5th grade student. What is the easiest way to explain? Thanks. 1 solutions Answer 373036 by josmiceli(9671)   on 2012-03-10 04:22:30 (Show Source): You can put this solution on YOUR website! How much money did Ann need to buy 30 pens? If each one is Rs 4.50, she needed = Rs 135 Imagine that she has the Rs 135 in her hand and hasn't bought anything yet. For every Rs 5 in her hand, she can buy 3 pencils 135 divided by 5 is 27. So, 27 is how many times she can buy 3 pencils. 3 pencils times 27 = 81 pencils Hope this helps

Money_Word_Problems/585027: During a job interview, Pam Thompson is offered a salary of $39,000. The company gives annual raises of 9 percent. What would be Pam’s salary during her fifth year on the job? 1 solutions Answer 373035 by josmiceli(9671)   on 2012-03-10 04:11:02 (Show Source): You can put this solution on YOUR website! After 1st year: 39k + = 42,510 After 2nd year: 42,510 + = 46335.90 The formula for this is: where is the year before the one she's in so, if she's in her 3rd year: So, if she's in her 5th year Her salary during her 5th year is $55,051.68 I think this is right, but you can get a 2nd opinion, too

Money_Word_Problems/584953: Winston borrowed $4000 in two loans. One loan charged 7% interest and the other charged 1.5% interest. After 1 year, Winston paid $225 in interest. Find the amount borrowed in each loan. 1 solutions Answer 373002 by josmiceli(9671)   on 2012-03-09 19:12:25 (Show Source): You can put this solution on YOUR website! Let = amount borrowed @ 7% Let = amount borrowed @ 1.5% given: (1) (2) ----------------- (1) (1) Multiply both sides of (2) by and subtract (2) from (1) (1) (2) and (2) (2) $3,000 was borrowed @ 7% $1,000 was borrowed @ 1.5% check: (1) (1) (1) (1) OK

Numbers_Word_Problems/584657: what number is doubled when two-thirds of it is added to 36? 1 solutions Answer 372825 by josmiceli(9671)   on 2012-03-08 22:37:09 (Show Source): You can put this solution on YOUR website! Let = the number given: Multiply both sides by The number is 27

Travel_Word_Problems/584651: a boat went 15 miles downstream in 1 hour and then returned to its dock in 5/3 hours. if the current of the stream was constant, find the speed of the boat and speed of the current 1 solutions Answer 372822 by josmiceli(9671)   on 2012-03-08 22:29:42 (Show Source): You can put this solution on YOUR website! Let = the speed of the boat in still water Let = the speed of the current = the speed of the boat going with the current = the speed of the boat going against the current -------- (1) (2) --------------------- (1) and (2) (2) Add the equations (1) (2) and, since (1) (1) (1) The speed of the boat in still water is 12 mi/hr The speed of the current is 3 mi/hr check: (2) (2) (2) OK

Mixture_Word_Problems/584607: A merchant mixed 8 lb of a cinnamon tea with 4 lb of spice tea. The 12-pound mixture cost $38. A second mixture included 10 lb of the cinnamon tea and 12 lb of the spice tea. The 22-pound mixture cost $72. Find the cost per pound of the cinnamon tea and of the spice tea. 1 solutions Answer 372817 by josmiceli(9671)   on 2012-03-08 21:43:15 (Show Source): You can put this solution on YOUR website! Let = cost/pound of cinnamon tea Let = cost/pound of spice tea (1) and (2) ------------------- Multiply both sides of (1) by and subtract (2) from (1) (1) (2) and (1) (1) (1) (1) The cost/pound of cinnamon tea is $3 The cost/pound of spice tea is $3.50 check: (2) (2) (2) OK

Square-cubic-other-roots/584594: us scienticfic notation to divide two numbers. express the answer using scienticfic notaion: retain at least three decimal places (9.4*10^6)/(4.97*10^2) 1 solutions Answer 372815 by josmiceli(9671)   on 2012-03-08 21:17:52 (Show Source): You can put this solution on YOUR website!

Square-cubic-other-roots/584597: 3 square root of 2 divided by square root of 3 1 solutions Answer 372814 by josmiceli(9671)   on 2012-03-08 21:11:33 (Show Source): You can put this solution on YOUR website! Multiply top and bottom by

Linear-equations/584537: Suppose a stereo receiver manufacturer has the total cost function C(x) = 270x + 4300 and the total revenue function R(x) = 320x. (a) What is the equation of the profit function for this commodity? (b) What is the profit on 775 items? 1 solutions Answer 372805 by josmiceli(9671)   on 2012-03-08 19:57:21 (Show Source): You can put this solution on YOUR website! (a) Profit = Revenue - Cost Profit = Profit = Profit = (b) Profit = Profit = Profit = $34,450

Equations/584520: I am having trouble with writing out the equations that are in word form. Please help me. -Write an equation and solve: four more than twice a number m is the sum of 4 and 8. 1 solutions Answer 372803 by josmiceli(9671)   on 2012-03-08 19:51:24 (Show Source): You can put this solution on YOUR website! Subtract from both sides Divide both sides by

Age_Word_Problems/584460: bens father was 33 when Ben was born.8 years ago Bens father was twice as old as Ben is now. How old is Ben???? 1 solutions Answer 372789 by josmiceli(9671)   on 2012-03-08 18:43:46 (Show Source): You can put this solution on YOUR website! Let = Ben's age now Let = Ben's Father's age now given: (1) The difference in their ages never changes. At Ben's birth it was 33 yrs, so: (2) --------------- (1) Subtract (1) from (2) (2) (1) and, since (1) (1) (1) (1) Ben is 25

Proportions/584475: What is percent form of 4/5 1 solutions Answer 372786 by josmiceli(9671)   on 2012-03-08 18:27:20 (Show Source): You can put this solution on YOUR website! per cent means per one hundred 4/5 = 80%

Graphs/584416: Graph the line with the given point and slope. The line through (-3,3) with slope 6/5. 1 solutions Answer 372779 by josmiceli(9671)   on 2012-03-08 16:50:38 (Show Source): You can put this solution on YOUR website! Let the line have the form where = slope --------------- given: slope = Plug in (-3,3) for x and y The equation is check: OK

Linear-equations/584272: How Do You Graph A Slope with an equation 9x+7y=63 ???? p.s. Can Please Help Me !?!? 1 solutions Answer 372738 by josmiceli(9671)   on 2012-03-08 11:56:12 (Show Source): You can put this solution on YOUR website! Get it into the form where is the slope Subtract from both sides Divide both sides by The slope is Here's the plot:

Travel_Word_Problems/584260: David competes in a triathlon and has set a new goal of finishing in 17 hours and 15 minutes. The race consists of a 3.8km swin, a 180km bike ride, and a 42.2km run. David rides a bike 4.5 times as fast as he swims and runs 1.6 times as fast as he bikes. If David keeps a steady pace in each event, how fast does he have to swim to reach his goal? I have this set up as: 3.8km/x+180km/4.5x+42.2km/4.5x(1.6)=17hours 15 min. I do not know where to go from here???? 1 solutions Answer 372737 by josmiceli(9671)   on 2012-03-08 11:51:23 (Show Source): You can put this solution on YOUR website! Let = his speed swimming Multiply both sides by He has to swim 7.082 km/hr Check my math, but I think this method is good

Geometry_Word_Problems/584262: The longer leg of a 30 -60 -90 triangle is 18. What is the length of the longer leg? 1 solutions Answer 372736 by josmiceli(9671)   on 2012-03-08 11:37:31 (Show Source): You can put this solution on YOUR website! 18

Linear-systems/584152: express the following statement as a linear equation in two variables BY TAKING PRESENT AGES(IN YEARS)OF FATHEr AND SON AS X AND Y.RESPECTIVELY.AGE OF FATHER 5 YEARS AGO WAS TWO YEARS MORE THAN 7 TIMES THE AGE OF HIS SON AT THAT TIME. 1 solutions Answer 372702 by josmiceli(9671)   on 2012-03-08 04:36:08 (Show Source): You can put this solution on YOUR website! = Father's age now = Son's age now = Father's age 5 yrs ago Something is wrong with my answer or the problem. According to this equation, when the Son is 5, the father is 7. I don't see what I did wrong, though.

logarithm/584061: log(x-2)+log(x+2)-.5 log(x^2+4) how to rewrite this logarithm in single form? 1 solutions Answer 372669 by josmiceli(9671)   on 2012-03-07 22:22:10 (Show Source): You can put this solution on YOUR website!

Surface-area/584045: what happens to the volume of a box if all the sides are tripled? 1 solutions Answer 372667 by josmiceli(9671)   on 2012-03-07 22:04:29 (Show Source): You can put this solution on YOUR website! If is the side of the original box, If each side is tripled, The volume of the box is multiplied by 9

Pythagorean-theorem/584050: A rectangular piece of canvas measuring 6m by 2m is folded in half to form two sides of a tent. The length of each vertical support pole is 1.2m. What is the width of the front of the tent, to the nearest tenth of a metre? 1 solutions Answer 372664 by josmiceli(9671)   on 2012-03-07 22:00:58 (Show Source): You can put this solution on YOUR website! My 1st question would be: which way is the canvas folded? It could be the long way or the short way. If the vertical support is 1.2 m, that tells me that the 2m side cannot be folded to make a 6 m long tent. The sloping sides would be 1 m long, and the vertical support would be less than 1 m. ------------ So the canvas is folded the short way making a 2 m long tent with sloping sides = 3 m. Use the pythagorean theorem. where is 1/2 the width of the front of the tent m m The width of the front of the tent is 5.5 m

Linear_Equations_And_Systems_Word_Problems/583864: if a 22-inch rope is to be cut into 2 pieces so that one is 3 inches longer than twice the other, how long is each piece 1 solutions Answer 372633 by josmiceli(9671)   on 2012-03-07 18:46:42 (Show Source): You can put this solution on YOUR website! Let the length of the shorter piece = in The length of the longer piece is in given: in in

Mixture_Word_Problems/583841: How many liters of pure baking soda must be added to 200 liters of a 30% baking soda solution to get a 60% baking soda solution? 1 solutions Answer 372632 by josmiceli(9671)   on 2012-03-07 18:39:14 (Show Source): You can put this solution on YOUR website! Let = liters of pure baking soda needed liters of baking soda in 30% solution ----------- 150 liters of pure baking soda are needed check: OK