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If Dora works alone she will take 20 more hours to complete a task than if she worked with Boots. If Boots works alone, he will take 5 more hours to complete the task, than if he worked with Dora to complete the task. What is the ratio of the time taken by Dora to that taken by Boots if each of them worked alone to complete the task?
1 solutions
Answer 387735 by richwmiller(9143)   on 2012-05-31 08:30:01 (Show Source):
You can put this solution on YOUR website!t/d+t/b=1
d=t+20
b=t+5
t/(t+20)+t/(t+5)=1
t=-10 t=10
t can't be negative.
t=10
d=30
b=15
30/15=d/b=2/1 or 2 to 1 ie 2:1 or twice as fast
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Square-cubic-other-roots/616452: For which of the following equations is it true that the sum of the roots equals the product of the roots?
A. x^2 - 4 = 0
B. x^2 - 2x +1 = 0
C. x^2 - 4x + 4 = 0
D. x^2 - 5x + 6 = 0
E. x^2 + 4x + 4 = 0
This is a question from a Practice Subject Test I'm taking. The roots of what? How would you compare the sum of the said roots and the product of them? This confuses me.
Thank you very much for any help you can give me!
1 solutions
Answer 387684 by richwmiller(9143) on 2012-05-30 22:39:59 (Show Source):
You can put this solution on YOUR website!x*y=x+y
A) roots are -2 and 2
-2*2=-4
-2+2=0
no
B)1 and 1
1*1 not equal to 2
no
C)x=2 and 2
2*2=2+2
yes
D)3 and 2
3*2 not equal 3+2
no
E)
-2 and -2
no
C) is the only answer
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Word_Problems_With_Coins/616409: ark reached in his pocket and pulled out 10 coins. all the coins were either dimes or nickels. The value of the 10 coins was 0.08 cents. how many nickels did mark have in his pocket
1 solutions
Answer 387675 by richwmiller(9143) on 2012-05-30 21:13:03 (Show Source):
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Proportions/616116: Tim can fold a certain number of brochures in 20 minutes. John can fold the same number in 15 minutes. If tim and john work together for 3 hours and during that time john folds x brochures, how many brochures will tim fold?
A)4/3x
B)5/4x
C)3/4x
D)2/3x
E)1/2x
1 solutions
Answer 387545 by richwmiller(9143) on 2012-05-30 11:50:03 (Show Source):
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Miscellaneous_Word_Problems/616159: Tickets for school play go on sale Monday. Prior to this a total of 27 tickets have been purchased by the members of the cast for their families. As the day progresses a total of 6 tickets are sold each hour.
Let “h” represents the number of hours that have gone by and let “t” represents the number of tickets that have been sold.
1. Create a table of values that represent this situation
h
t
2. Write an equation that represents this situation.
3. Is this equation linear? (Give evidence to support your decision)
4. Graph this equation on the Cartesian plane below (Be sure to label both axes on your graph)
5. Use the graph to estimate how many tickets will be sold after 10 hours.
6. Use the equation to find how many tickets will be sold after 10 hours.
7. Compare the answers in questions 5 and 6.
8. Choose any two ordered pairs that verify your equation and find the slope using slope =(y2-y1)/(x2-x1)
9. Use any two points on the graph:
a. Highlight the difference between the y-coordinates of these two points (y2-y1) also called vertical change and find its value.
b. Highlight the difference between the x-coordinates of the same two points (x2-x1) also called horizontal change and find its value.
c. Find the ratio of vertical change vs. the horizontal change.
d. Compare this ratio to the slope found in question 8.
10. What does this slope tell us?
1 solutions
Answer 387534 by richwmiller(9143) on 2012-05-30 11:14:34 (Show Source):
You can put this solution on YOUR website!t=6h+27
Slope is 6 which means that for every 1 hour that passes number of tickets goes up 6.
yes it is linear. It follows the pattern y=mx+b
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Linear-equations/616167: Solve the system of equations shown below using elimination, and then state the solution as an ordered pair.
4x+5y=-18
-9x+2y=-92
1 solutions
Answer 387528 by richwmiller(9143) on 2012-05-30 11:06:04 (Show Source):
You can put this solution on YOUR website!multiply the first by 2 and the second by -5 and add them
solve for x
then plug that into any of the equations and solve for y
then write them as (x,y)
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Quadratic-relations-and-conic-sections/616013: Help?
I'm studying for my finals but I just don't understand these questions. Or how to find the answer. PLEASE HELP!
Given
x^2+y^2-12x-8y+27=0
What is it's center?
For radius: I got sqrt.27 = 5.196 which radius equals 5.
&If given x^2/25+y^2/16=1
What is the foci?
Given 36x^2+9y^2-324=0
Find the
center:
vertices:
co-vertices:
foci: I know it's c^2=a^2+b^2 or subtraction?
These questions I have trouble with on the review, please help!
1 solutions
Answer 387451 by richwmiller(9143) on 2012-05-29 21:01:17 (Show Source):
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Quadratic-relations-and-conic-sections/616003: Help?!
I was searching throughout the internet for a video with a detailed explanation of Algebra Conics, but no luck D:
Can anyone please help me with these problems?
It's practice for my final, and I'm just panicking!!
Write the equation in standard form, find the center and radius. ((a CIRCLE))
1)x^2+y^2-12x+14y+17=0
ANY HELP IS SINCERELY AND GRATEFULLY APPRECIATED!
1 solutions
Answer 387448 by richwmiller(9143) on 2012-05-29 20:57:47 (Show Source):
You can put this solution on YOUR website!(x-6)^2+(y+7)^2=68
circle
center | (6, -7)
radius | 2 sqrt(17)~~8.24621
diameter | 4 sqrt(17)~~16.4924
area | 68 pi~~213.628
perimeter | 4 sqrt(17) pi~~51.8125
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Equations/615959: To buy both a new car and a new house, Tina sought two loans totaling $142,511. the simple interest rate on the first loan was 1.2%, while the simple interest rate on the second loan was 4.6%. At the end of the first year, Tina paid a combined interest payment of $5457.03. What were the amounts of the two loans?
1 solutions
Answer 387398 by richwmiller(9143) on 2012-05-29 18:50:19 (Show Source):
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Geometry_Word_Problems/615945: Can you help me please I don't get this question and I don't know where to start. The area of a rectangle is represented by 10x^3+15x^2+4x+6. It's dimensions are represented by binomials in x that have prime number coefficients. What are the dimensions of the rectangle?
1 solutions
Answer 387396 by richwmiller(9143) on 2012-05-29 18:43:30 (Show Source):
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Miscellaneous_Word_Problems/614825: Sally makes turquoise rings. She rents a booth for $35 a day to sell her rings.
Each ring cost her $2 to make. She sell each ring for $5. Sally wants to make
at least $200 profit for the day. How many rings must she sell?
A. 34 B. 78 C. 79 D. 118
1 solutions
Answer 386722 by richwmiller(9143) on 2012-05-25 10:51:14 (Show Source):
You can put this solution on YOUR website!profit=selling price minus costs
p=5-2
p=3 dollars per ring
y=mx+b
200=3x+35
165=3x
55=x
She must sell at least 55 rings to make 200 dollars profit.
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Proportions/614761: Snowhite Paint Co. contracts to paint three houses. Andy can paint a house in 6 days, while Bruce would take 8 days and Carl would take 12 days. After 8 days Andy goes on vacation, and Bruce begins to work for a period of 6 days. How many days will it take Carl to complete the contract?
1 solutions
Answer 386695 by richwmiller(9143) on 2012-05-25 06:58:17 (Show Source):
You can put this solution on YOUR website!Not enough info.
Are they working together? separately?
one at a time? all together on the same house? all together on different houses?
Do they all work for snow white paint co?
http://www.algebra.com/algebra/homework/Rate-of-work-word-problems/Rate-of-work-word-problems.faq.question.262229.html
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Sequences-and-series/614773: three men do a piece of work,the first does 7/15,the second does 5/6 of the remainder while the third does the rest. If the rest done by the third person equals 24units,find whole piece of work
1 solutions
Answer 386693 by richwmiller(9143) on 2012-05-25 06:40:31 (Show Source):
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Linear-systems/614452: 10.) "find the slope of the line through each pair of points"
(3, -1) & (2,1)
i tried doing y2-y1/x2-x1 formula but I'm not sure if the answer is -2 / 1
1 solutions
Answer 386573 by richwmiller(9143) on 2012-05-24 12:53:07 (Show Source):
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Average/614490: if i had a 88 in the 1st quarter and a 70 in the second what do i need to make on my exam to pass that class. exams are worth 20 percent
1 solutions
Answer 386569 by richwmiller(9143) on 2012-05-24 12:22:51 (Show Source):
You can put this solution on YOUR website!not enough info.
you say that exams are worth 20 %
What about class participation and attendance?
What about each quarter?
You have only mentioned two of 4 quarters.
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Money_Word_Problems/614485: I want to order T-shirts for my organization. The price is $15 for each T-shrit and $10 for shipping. Write an expression for the amount of money this will cost you. If I buy 20 T-shirts, how much will cost me if I have a total of $145 to spend?
1 solutions
Answer 386568 by richwmiller(9143) on 2012-05-24 12:19:15 (Show Source):
You can put this solution on YOUR website!Your problem is poorly worded.
You can't buy 20 t shirts with 145 dollars.
y=15x+10
y=20*15+10
y=300+10
y=310
20 t shirts will cost you 310 dollars
y=15x+10
145>=15x+10
135>=15x
27>=3x
9>=x
You can buy 9 shirts for $145
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