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josmiceli answered: 9676 problems
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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
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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
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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):
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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 created 1 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
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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
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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):
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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
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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
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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):
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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
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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
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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):
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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):
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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 project 1 solutions
Answer 356379 by josmiceli(9678) on 2011-12-14 17:28:37 (Show Source):
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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):
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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
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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:
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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
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