Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 393991: Pleas help me~
The sum of two numbers is 21. Find both numbers if twice the smaller number is 3 more than the larger number.
Thank you.

Click here to see answer by pie90010(44) About Me 

Question 394073: The sum of two numbers is 39. One number is 7 more than the other. Find the two numbers. (Show all steps and explain them please).
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Question 394261: Benny the carphop has 2 times as many dimes as quarters. If Benny has 41.85 dollars worth of dimes and quarters combined, how many quarters does he have?
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Question 394554: 15 times the sum of 8 and 5
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Question 394803: Factor the numerator first and then fully simplify.
4x^3y^3 + 2x^2y / 2xy

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Question 394811: Factor the numerator first and then fully simplify.
(4x^3y^3 + 2x^2y) / 2xy

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Question 394792: Factor the numerator and fully simplify.
4x^3y^3 + 2x^2y / 2xy

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Question 394821: 6(a+b)^2 + 11(a+b) +3
Factor fully and please show steps.

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Question 394869: how to simplify an equation?

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Question 394941: When a ball is thrown up into the air, it makes the shape of a parabola. The equation S= -5t^2 + v*t + k gives the height of the ball at any time, t in seconds, where “v” is the initial velocity (speed) in meters/sec and “k” is the initial height in meters (as if you were on top of a tower or building).
Make up a scenario where a ball is thrown, shot, etc. into the air. You can choose any initial velocity (in meters/sec) and any initial height (in meters) of the ball, but include them in your written scenario. The ball can leave your hand, the top of a building, etc. so you can use many different values for the initial height.
1.Insert the chosen values for “v” and “k” into the formula listed above.
2.Use the formula to find the height of the ball at any two values of time, t, in seconds that you want. Show your calculations and put units on your final answer!
3.Provide a written summary of your results explaining them in the context of the original problem.
Please make sure that your answers make sense!

my scenario is: my 11 year old son holds his footballin his hand around 4 feet, he threw the ball up and outward towards his brother which took two seconds to get to him at the highest height of 20feet

Click here to see answer by stanbon(75887) About Me 

Question 396076: The sum of two numbers is 29. If you double the smaller number and the. Decrease it by the 10, the result is the larger number. Find the numbers
Click here to see answer by mananth(16946) About Me 

Question 396082: what is the square root of -9 multiplied by -36 multiplied by -12?
Click here to see answer by checkley79(3341) About Me 

Question 396549: a freight train leaves the station 2 hours before a passenger train. There are two trains are traveling in the same direction on parallel tracks. If the rate of the passenger train is 11 mph faster than the Freight train, how fast is each train traveling if the passenger train passes the freight train in 10 hours?
Click here to see answer by mananth(16946) About Me 

Question 397090: how do i write an algebraic expession for nine times m then incresed by six??
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Question 397095: how do i write an algebraic expession for nine times m then incresed by six??
Click here to see answer by jim_thompson5910(35256) About Me 

Question 397119: Please help me solve this question!
"Determine the equation of the tangent to the circle (x-2)^2+(y+3)^2=13 at the point (5,-5)"

Click here to see answer by richard1234(7193) About Me 

Question 397280: calculate for the area of a rectangle, knowing that the sum of the base and height measure 123 and that the base is 1 / 2 of the height.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 397409: A plumber and his assistant work together to replace the pipes in an old house. The plumber charges $45 an hour for his own labor and $25 for his assistant on this job, and the labor charge on the final bill is $4025. How long did the plumber and his assistant work on this job?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 397653: The gross domestic product, or GDP, of the United States was about $10.99 trillion in 2003. Assume that the GDP grows 3.1% each year. Use an exponential model to find which percent best describes the GDP growth that occurs over 18 years?
Click here to see answer by stanbon(75887) About Me 

Question 397776: Dear sir, I got stuck on this home work problem, can you please help me sir
"Find the area of the region R in the first quadrant enclosed by the graphs of y = 2x and y = x^2 , as shown in the figure below.
a) 2.59
b) 3.45
c) 10.23
d) 1.33

Click here to see answer by robertb(5830) About Me 

Question 397772: sir, i could not find solution, I got stuck, please help me sir,
"
"For a boy having 6 friends, how many ways are there to invite 1 or more of them to the lunch?
a) 30
b) 40
c) 60
d) None of these.

Click here to see answer by robertb(5830) About Me 

Question 397886: Investing her bonus. Donna invested her $33,000 bonus
and received a total of $970 in interest after one year. If
part of the money returned 4% and the remainder 2.25%,
then how much did she invest at each rate?
Please show each step and explain what you did.. Thank you soooo much!

Click here to see answer by stanbon(75887) About Me 

Question 397875: Thirty purple monsters consume "n" people everyday.how many people would one purple monster consume in a day? (assuming all monsters eat at same rate)
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 398031: your weekly paycheck is 30% less then your co worker your two paychecks total 740 find the amount of each paycheck
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Question 398041: How long does it take to drive 806 miles at 65 mph.
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Question 398040: How long does it take to drive 806 miles at 65 mph.
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Question 398223: a 10lb mixture of peanuts and cashews sells for $5.32 per lb. The price of peanuts is $3.60 per lb and the price of cashews is $7.90 . How many lbs of each type is in the mixture
Click here to see answer by josmiceli(19441) About Me 

Question 398281: Factor fully.
4(c-5)^4 + 12(c-5)^2 + 9

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Question 398272: You realize how much my brother Jim fishes by now. The last time he went fishing he only caught three fish. The total weight was 64 ounces. The first one was twice as big as the second fish. The third one was half as large as the first. How many ounces did each fish weigh?
Click here to see answer by josmiceli(19441) About Me 

Question 398322: an engineering firm earns a monthly salary of $3457 and an annual bonus that is 16.3% of yearly salary, what is the total income?
Click here to see answer by robertb(5830) About Me 

Question 398855: Solve the system using the elimination or substitution method. x + 2y - 3z = 9; -x + 3y - 2z = 1; 2x - 5y + 2z = 2
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Question 398959: How do you solve this problem for M ?
M
P= ___
M+N
The problem reads P equals M divided by M plus N. Solve for M.
Thank you for your explanation. I tried undoing on each side and seemed to get more and more complicated.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 399137: Wanda is 5 years older then Marian. The sum of there ages is 19. What is the age of each of them?
Click here to see answer by mananth(16946) About Me 

Question 398690: Ten-digit number. Find a 10-digit number whose first digit
is the number of 1’s in the 10-digit number, whose second
digit is the number of 2’s in the 10-digit number, whose
third digit is the number of 3’s in the 10-digit number, and
so on. The ninth digit must be the number of nines in the
10-digit number and the tenth digit must be the number of
zeros in the 10-digit number

Click here to see answer by richard1234(7193) About Me 

Question 399612: how do u do the work to 1/3 of 15
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Question 399657: So,im learning how to do Two-step problem such as substitution heres my question F=9/5(-20)+32 I have to convert the temperature to degrees fahreheit!
Click here to see answer by rfer(16322) About Me 

Question 399682: Hi! Can you please help me with the following word problem: substitution?
John earned $240 in the summer by working at a fast food restraunt and baby-sitting. If he earned five times as much in the restraunt as he did baby-sitting, how much did he earn at each job?
I need an equation for it
Like, I sorta started it by saying F-fastfood and B-babysitting
So, would it be F+B=240?
I'm not sure if its right and I need to solve it too.
Thanks! :)

Click here to see answer by Alan3354(69443) About Me 
Question 399682: Hi! Can you please help me with the following word problem: substitution?
John earned $240 in the summer by working at a fast food restraunt and baby-sitting. If he earned five times as much in the restraunt as he did baby-sitting, how much did he earn at each job?
I need an equation for it
Like, I sorta started it by saying F-fastfood and B-babysitting
So, would it be F+B=240?
I'm not sure if its right and I need to solve it too.
Thanks! :)

Click here to see answer by nerdybill(7384) About Me 

Question 399667: 3x+2y=10
2x+3y=10
How do Yu Slove this problem using substitution?

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 399756: Hi! Can you please help me solve the following word problem: substitution?
A will states that Jerry is to inherit 3 times as much money as Mary. The total amount they will receive is $11,000. Find the amounts of money Jerry and Mary will inherit?
So, I sorta started the problem out as that...
J-jerry
M-mary
And the equation would be J= 3M
but im not sure if its right and I also need to solve it!
Thanks! :)

Click here to see answer by scott8148(6628) About Me 

Question 400100: Hi, I need help on this question that I don't understand.
In this question you have to find out what "x" is.
32x + 43 - 20x = -25 + 30 - 45x
I've tried a few times and even used the calculator but somehow when I check it over (by putting in the value of x into the spots)the two answers are not equivalent.
Thanks!

Click here to see answer by ewatrrr(24785) About Me 
Question 400100: Hi, I need help on this question that I don't understand.
In this question you have to find out what "x" is.
32x + 43 - 20x = -25 + 30 - 45x
I've tried a few times and even used the calculator but somehow when I check it over (by putting in the value of x into the spots)the two answers are not equivalent.
Thanks!

Click here to see answer by solver91311(24713) About Me 

Question 400312: use special factoring methods to factor following binomial. 512y^3+343x^6
Click here to see answer by scott8148(6628) About Me 
Question 400312: use special factoring methods to factor following binomial. 512y^3+343x^6
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Question 400440: How do I solve the following:
The Future Teachers of America is selling a trail mix for fundraising. The mix will contain 3 times the numbers of raisins as sunflowers seeds. Sunflower seeds cost $4.00 per pound, and raisins cost $1.50 per pound. If the group has $34.00 to spend on the raisins and sunflower seeds, how many pounds of each should they buy?

Click here to see answer by scott8148(6628) About Me