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scott8148 answered: 6619 problems
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pg 128 Celia bought 12 apples, ate two of them, and sold the rest at .20 more per apple than she paid. Her total profit was $1.00. How much did she sell each apple for? I know this is more simple than I am making it. Please help.
12x - 2 = 10(x + .20) +1.00?
1 solutions
Answer 70306 by scott8148(6628)   on 2007-09-06 18:36:46 (Show Source):
You can put this solution on YOUR website!she bought 12 apples and ate 2, leaving 10 ... she sold the 10 for .20 more per apple than she paid ... her profit was 1.00
let x=selling price ... 10x-1.00=12(x-.20) ... 10x-1=12x-2.4 ... 1.4=2x ... .70=x
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Inequalities/96324: Hello, I am needing some help with this problem:
(x+2)(x-3)>(x-1)(x+1)
factored out:
x^2+2x-3x-6>x^2-1
I tried using the quadratic formula with the left side but wasn't coming up with the right answer. Any help will be appreicated.
1 solutions
Answer 70216 by scott8148(6628) on 2007-09-05 23:35:26 (Show Source):
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Polygons/96363: HOW MANY DIAGONALS CAN BE DRAWN FROM ONE VERTEX OF A REGULAR OCTAGON?
1 solutions
Answer 70214 by scott8148(6628) on 2007-09-05 23:18:32 (Show Source):
You can put this solution on YOUR website!a regular octagon has 8 vertices; so from one vertex, lines can be drawn to the other 7 vertices
the lines to the two adjacent vertices are sides of the octagon ... the other 5 lines are diagonals
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Miscellaneous_Word_Problems/96364: Suppose you have two 20 oz cups full of gems. You also have an empty 8 oz cup and an empty 14 oz cup. Using only these four cups, you need to measure exactly 6 oz of gems in each of the smaller cups. Without spilling a gem, how can this be done?
1 solutions
Answer 70213 by scott8148(6628) on 2007-09-05 23:13:08 (Show Source):
You can put this solution on YOUR website!using one 20 oz cup, fill the 14 oz cup and pour the remaining gems (6 oz) into the 8 oz cup
using the other 20 oz cup, fill the 8 oz cup (using 2 oz) ... this leaves 18 oz in the second 20 oz cup
empty the 8 oz cup into the first 20 oz cup
fill the 8 oz cup from the 14 oz cup, leaving 6 oz in the 14 oz cup
fill the second 20 oz cup from the 8 oz cup, using 2 oz and leaving 6 oz in the 8 oz cup
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Miscellaneous_Word_Problems/96293: I need help on this problem. Please show me it in the "Five-step" plan method.
One number is four times another number. The larger number is also 87
Choices for the smaller number: 29 30, 33
also, if you could show me another example that would be great!
I dont understand it at all..
could you please help,
Julian
1 solutions
Answer 70105 by scott8148(6628) on 2007-09-05 16:16:19 (Show Source):
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Numbers_Word_Problems/96107: Separate 65 into two parts such that 3 times the larger will be more than 6 times the smaller (Hint:let x and 65-x represent your two numbers)
P/S:Hint was not given by paper. i figured that much out.
1 solutions
Answer 69996 by scott8148(6628) on 2007-09-04 21:25:07 (Show Source):
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Percentage-and-ratio-word-problems/96139: This question is from textbook
When a popular brand of CD player is priced at $300 per unit, a store sells 15 units per week.Each time the price is reduced by $10, however, the sale increases by two per week. What selling price will result in weekly revenues of $7000?
Can anyone help me with this? I am not sure about the set up. 300-10x +2 = 7000?
Thanks
1 solutions
Answer 69992 by scott8148(6628) on 2007-09-04 21:13:36 (Show Source):
You can put this solution on YOUR website!your equation is close ... for every $10 price reduction, unit sales increase by 2
(300-10x)(15+2x)=7000 ... 4500+450x-20x^2=7000 ... -2500+450x-20x^2=0
rearranging terms and dividing by -10 gives 2x^2-45x+250=0 ... factoring gives (2x-25)(x-10)=0
so x=10 and x=12.5 ... giving a selling price of 300-10(10) or $200
even though 12.5 is a solution to the equation; from the way the problem is stated, it looks like only integer values are valid
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Equations/96128: The question is: find three consecutive intengers whose sum is 11 less than 5 times the smallest of the three.
I think the equation would be x+y+z=5x-11 but how do I solve it?
Help!
1 solutions
Answer 69980 by scott8148(6628) on 2007-09-04 20:50:02 (Show Source):
You can put this solution on YOUR website!you are on the right track
consecutive integers means y is one more than x and z is one more than y ... so x+(x+1)+(x+2)=5x-11
3x+3=5x-11 ... 14=2x ... 7=x
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Radicals/96103: How do you solve equations like these?
Rules:Simplify but leave in radical form
1.) radical 20a^2
2.) radical 30a^7
3.) 5 radical 250
Please help
And thank you
1 solutions
Answer 69978 by scott8148(6628) on 2007-09-04 20:42:43 (Show Source):
You can put this solution on YOUR website!you need to factor the quantity inside the radical and move any even roots outside the radical
eg. radical(27)=radical(3*3*3)=(3)radical(3)
radical(20a^2)=radical(2*2*5*a*a)=(2a)radical(5)
radical(30a^7)=radical(2*3*5*a^3*a^3*a)=(a^3)radical(30a)
(5)radical(250)=(5)radical(2*5*5*5)=(5)(5)radical(2*5)=(25)radical(10)
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logarithm/96003: my problem is:
log (base 4) 9x^2 = log (base 2)(5x-8)
i think i have to switch the base on the left hand side to 2 which would give me
log (base 2) 9x^2
----------------- = log (base 2)(5x-8)
log (base 2) 4
i dont even know if thats right..but after that im completely lost though...any help would be appreciated, thanks.
1 solutions
Answer 69972 by scott8148(6628) on 2007-09-04 18:51:15 (Show Source):
You can put this solution on YOUR website!you are right about changing the base ... 2^2=4 so log(base2)4=2 ... so log(base2)9x^2=2(log(base2)(5x-8))
multiplying a log by 2 means squaring the argument ... 9x^2=(5x-8)^2 ... taking square root gives 3x=5x-8 and -3x=5x-8
so x=4 and x=1 ... but remember, logs are undefined for negative arguments [5(1)-8=-3] ... so 4 is the solution
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Mixture_Word_Problems/96060: Hello!
How much water should be added to 1 gallon of pure antifreeeze to obtain a solution that is 60% antifreeze?
If someone could show me how to set this problem up it would be appreicated.
1 solutions
Answer 69968 by scott8148(6628) on 2007-09-04 18:24:43 (Show Source):
You can put this solution on YOUR website!1(100%)+x(0%)=(1+x)(60%) ... 1(1)+x(0)=(1+x)(.6) ... 1=.6+.6x ... .4=.6x ... 2/3=x
pure antifreeze is 100% antifreeze, water is 0% antifreeze
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Expressions-with-variables/95940: 1/2x - 1/6y = 3
2/5x + 1/2y = 2
These are to be solved using the elimination method. I do not even know where to begin! Help please!
Thank You
Nancy
1 solutions
Answer 69887 by scott8148(6628) on 2007-09-03 22:54:01 (Show Source):
You can put this solution on YOUR website!to eliminate a variable, you need to get the absolute values of two terms in two different equations to equal each other
multiplying the first equation by 3 gives (3/2)x-(1/2)y=9
adding this to the second equation eliminates the y term and gives (19/10)x=11 ... x=110/19
(2/5)(110/19)+(1/2)y=2 ... (1/2)y=-6/19 ... y=-12/19
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Triangles/95818: The Radius of the Earth is 3960 miles and 1 mile = 5280 feet. The deck of a ship is 100 feet above sea level. How far can you see from the deck?
I am not sure where to start. We were working with right triangles in my trigonometry class... I just am not sure how to solve this at all. Thanks for the help.
1 solutions
Answer 69883 by scott8148(6628) on 2007-09-03 22:27:03 (Show Source):
You can put this solution on YOUR website!when you stand on the deck, your line of sight to the horizon (distance you can see) is tangent to the circumference of the Earth
a radius of the Earth is perpendicular to this tangent ... this radius and your line of sight are 2 sides of a right triangle
the third side (which is the hypotenuse) is a radius of the Earth plus the 100 foot height of the deck
by Pythagoras, x^2+(3960*5280)^2=((3960*5280)+100)^2 ... using a calculator, x is approximately 64667 ft or 12.25 mi
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Percentage-and-ratio-word-problems/95318: Please help me solve this word problem: If 110 students voted for Alyssa for class president, 60 students voted for bob, and 30 students voted for Charles, Calculate the percentage of the class that voted for each candidate.
1 solutions
Answer 69597 by scott8148(6628) on 2007-09-01 13:38:27 (Show Source):
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Permutations/95385: I need help with this problem: There is someone who needs change for a dollar. Using nickles, dimes, &/or quarters, how many possable combonations to make a dollar are there?; I need an easier way to figue this out. BTW I am a 7th grader in Pre-AP Pre-Algebra so I'm going to bookmark this page.
1 solutions
Answer 69595 by scott8148(6628) on 2007-09-01 13:28:16 (Show Source):
You can put this solution on YOUR website!the easiest way is with a table
Q_D_N
4_0_0
3_2_1
3_1_3
3_0_5
2_5_0
2_4_2
2_3_4
2_2_6
2_1_8
2_0_10
1_7_1
1_6_3
1_5_5
1_4_7
1_3_9
now that I have almost finished the table, I see the solution
1 way with 4Q, 3 ways with 3Q, 6 ways with 2Q, 8 ways with 1Q, and 11 ways with no Q ... 29 ways
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Graphs/95388: what about stuff like finding the AREA for problem...& simplifying,solving for X? EXAMPLES:1)find area for rectangle 5 & 8. 2)Triangle area 4 & 5. 3)solve for X : -2(2x-3)=2x ~~SORRYY!!!~~
1 solutions
Answer 69592 by scott8148(6628) on 2007-09-01 13:05:12 (Show Source):
You can put this solution on YOUR website!1) assuming 5 & 8 are width and length, the area of the rectangle is 5*8 or 40
2) you need more information for the area of the triangle ... the angle between the two sides or the length of the third side
3) distribute the -2 on the left side ... -4x+6=2x ... 6=6x ... 1=x
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Graphs/95548: thru (-2,3/4) and (2/3,5/2)
find an eq. in slope-intercept form if possible
pls show work
thanks
1 solutions
Answer 69589 by scott8148(6628) on 2007-09-01 12:47:24 (Show Source):
You can put this solution on YOUR website!the slope is the change in y (rise) divided by the change in x (run)
slope ... ((5/2)-(3/4))/((2/3)-(-2)) ... (7/4)/(8/3) ... 21/32
y=(21/32)x+b ... 3/4=(21/32)(-2)+b ... (3/4)+(21/16)=b ... 33/16=b
y=(21/32)x+(33/16)
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Trigonometry-basics/95550: This question is from textbook algebra and trigonometry
WORD PROBLEM : There are 10 women and 8 men in a club. How many diferent committees of 6 each can be selected from the group if equal number of men and women are to be on the committee? PLEASE HELP ME SOLVE!!!!
1 solutions
Answer 69588 by scott8148(6628) on 2007-09-01 12:34:44 (Show Source):
You can put this solution on YOUR website!you are selecting groups of 3 from a group of 8 and a group of 10 ... order is not important
3 from 8 is (8*7*6)/(3*2*1) ... 56
3 from 10 is (10*9*8)/(3*2*1) ... 120
any of the groups of men can be combined with any of the groups of women
so the total number of committees is 56*120 or 6720
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expressions/95470: Please help me solve this problem:
5-2*2+8*5-2=28
I was asked to add parenthesis where it makes the problem equal 28. I could not figure it out, please help.
1 solutions
Answer 69587 by scott8148(6628) on 2007-09-01 12:24:12 (Show Source):
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Complex_Numbers/95483: Please help me with this problem.
Find a quadratic function with solutions -5+2i and -5-2i and a leading coefficient of 1.
1 solutions
Answer 69481 by scott8148(6628) on 2007-08-31 15:11:44 (Show Source):
You can put this solution on YOUR website!if s is a solution (root) of a quadratic equation, then (x-s) is a factor
(x-(-5+2i))(x-(-5-2i))=0 ... (x+5-2i)(x+5+2i)=0 ... x^2+5x+2ix+5x+25+10i-2ix-10i-4i^2=0 ... x^2+10x+29=0
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test/95415: This question is from textbook
a bus went 318 km farther than a car. the car went 1/3 as far as the bus. how far did each vehicle travel? choices for cars distance: 147, 151, 159
1 solutions
Answer 69476 by scott8148(6628) on 2007-08-31 14:16:24 (Show Source):
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Proportions/95417: the length of a rectangle is 8 more than twice the width. The ratio of length to width is 12 to 5. Find the length and the width of the rectangle.
(I tried solving it as 12/5 = 2x+8/2x. I then cross multiplied and got 5(2x+8)=12(2x). I used the distributive property to get 5 times 2x+40=12 times 2x. I do not know how to solve past there though.)
1 solutions
Answer 69475 by scott8148(6628) on 2007-08-31 14:11:06 (Show Source):
You can put this solution on YOUR website!the denominator on the right side of your first equation should be x, not 2x
5(2x+8)=12x ... 10x+40=12x ... 40=2x ... x=20
length=48, width=20
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Numeric_Fractions/95439: i"m sorry i missed another question
* the bears set out to pick berries for one of carol's famous pies. when they stopped picking:
*one bear sampled a berry and then ate 1/2 of what was left.
*another bear sampled a berry and ate 1/2 of whatwas left.
maria took the bucket and saw only twelve berries left. how many berries did they pick in all
1 solutions
Answer 69473 by scott8148(6628) on 2007-08-31 13:56:49 (Show Source):
You can put this solution on YOUR website!let x=berries picked
one bear sampled a berry and then ate 1/2 of what was left ... (x-1)(1/2)
another bear sampled a berry and then ate 1/2 of what was left ... ((x-1)(1/2)-1)(1/2)
maria took the bucket and saw only twelve berries left ... =12
((x-1)(1/2)-1)(1/2)=12 ... ((x-1)(1/2)-1)=24 ... (x-1)(1/2)=25 ... x-1=50 ... x=51
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Quadratic_Equations/95446: A ball is thrown upward from the roof of a building 100 m tall with an initial velocityof 20 m/s. When will the ball reach a height of 80 m?
1 solutions
Answer 69472 by scott8148(6628) on 2007-08-31 13:46:03 (Show Source):
You can put this solution on YOUR website!h=(-g/2)t^2+vt+s ... where g is gravitational acceleration (9.8 in meters), v is initial velocity, and s is starting height
80=-4.9t^2+20t+100 ... 0=-4.9t^2+20t+20 ... using quadratic equation gives
 ... t=-0.83 and t=4.91 ... the negative value is not realistic
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Age_Word_Problems/95399: Please help me with
June is 1 year younger than her husband Lee. The product of there ages is 650. How old is each?
x(x+1)=650
1 solutions
Answer 69424 by scott8148(6628) on 2007-08-30 20:44:25 (Show Source):
You can put this solution on YOUR website!you are looking for two factors of 650 that are 1 apart
65 and 10? no ... 50 and 13? no ... but half of 50 is 25 and twice 13 is 26 ...BINGO!
the ages are 25 and 26
looking for factors that are close together, sometimes the square root helps ... the square root of 650 is 25 and a fraction
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Percentage-and-ratio-word-problems/95394: Danny wants to sell his house. He would like to receive $136,000 after deducting the 6% commission due to the real estate agent. What should the selling price for the house be to the nearest dollar?
1 solutions
Answer 69419 by scott8148(6628) on 2007-08-30 20:31:43 (Show Source):
You can put this solution on YOUR website!the agent gets 6% leaving Danny with 94%, so 94% of the selling price must equal 136000
.94x=136000 ... x=144681 (to the nearest dollar)
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Functions/95326: Please help me, can you explain how to do this????
Given h(x)=4x+8, find 4[h(-3/4)].
I have no idea how to do this!!!
HELP!
1 solutions
Answer 69416 by scott8148(6628) on 2007-08-30 20:25:03 (Show Source):
You can put this solution on YOUR website!the h(x) is a recipe for the function h ... when you h something, you multiply it by 4 and add 8
h(-3/4) is 4(-3/4)+8 ... -3+8=5
the quantity h(-3/4) is then multiplied by 4 ... 4[5]=20
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