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Polynomials-and-rational-expressions/466841: Short Answer. Find the following product: -5z(5z^3+2z^2-9)
I got -(25z^4+10z^3-45z) is this correct?
1 solutions

Answer 320114 by rfer(12730) About Me  on 2011-07-03 17:51:14 (Show Source):
You can put this solution on YOUR website!
-25z^4-10z^3+45z


Expressions-with-variables/466840: Hello,
I have a question on solving linear equations. What would be the solution to this problem?
0.92x + 0.98(12-x) = 0.96(12)
Thank you
1 solutions

Answer 320112 by rfer(12730) About Me  on 2011-07-03 17:44:10 (Show Source):
You can put this solution on YOUR website!
0.92x+11.76-0.98x=11.52
-0.06x=-0.24
x=-0.24/-0.06
x=4


Expressions-with-variables/466838: Hello,
What would be the correct solution to this problem on solving linear equations?
2/3k - (k - 1/2) = 1/6(k - 5)
Thank you
1 solutions

Answer 320109 by rfer(12730) About Me  on 2011-07-03 17:41:17 (Show Source):
You can put this solution on YOUR website!
2/3k-k+1/2=1/6k-5(1/6)
2/3k-k-1/6k=-5/6-1/2
4/6k-6/6k-1/6k=-5/6-3/6
-3/6k=-8/6
k=(-8/6)/(-3/6)
k=-8/6*-6/3
k=48/18
k=2 2/3


Expressions-with-variables/466836: Hello,
I have a question on solving linear equations. Please adivse with a solution to this problem.
1/9(p + 18) + 1/3(2p + 3) = p + 3
I tried this several time but get the wrong answer.
Thank you
1 solutions

Answer 320105 by rfer(12730) About Me  on 2011-07-03 17:35:26 (Show Source):
You can put this solution on YOUR website!
1/9*p+1/9*18+1/3*2p+1/3*3=p+3
1/9(p)+2+2/3(p)+1=p+3
1/9(p)+2/3(p)-p=3-3
p=0


test/466810: To buy both a new car and a new house, Tina sought two loans totalling $332,888. The simple interest rate on the first loan was 8.9%, while the simple interest rate on the second loan was 6.0%. At the end of the first year, Tina paid a combined interest payment of $20,230.51. What were the amounts of the two loans?
1 solutions

Answer 320101 by rfer(12730) About Me  on 2011-07-03 17:23:41 (Show Source):
You can put this solution on YOUR website!
0.089x+0.06(332888-x)=20230.51
0.089x+19973.28-0.06x=20230.51
0.029x=257.23
x=257.23/0.029
x=8870 at 8.9%
332888-8870=324018 at 6%


Linear-equations/466829: Find the x and y intercepts for the equation show all work.
then graph the equation y= -2x - 6
1 solutions

Answer 320097 by rfer(12730) About Me  on 2011-07-03 17:11:25 (Show Source):
You can put this solution on YOUR website!
y=-2*0-6
y=-6
(0,-6)
--------------
0=-2x-6
2x=-6
x=-3
(-3,0)


Volume/466793: Simplify each expression. You may use the properties to help. When you type your answer, do not leave spaces between numbers and symbols.
(4a)(5b)(6c)

1 solutions

Answer 320075 by rfer(12730) About Me  on 2011-07-03 14:59:35 (Show Source):


Finance/466641: I need help with this question please..
Warwick wins $2800 and decides to start a savings fund to buy a car.He researches two banks to find the best investment deal.He finds the following information:
Trust Me Credit Union 7.4% pa.(nominal)compounded monthly
No Frills Bank 7.5% (nominal) compounded half yearly
a.) By calculating the effective interest rate(algebraically),decide which bank gives a better deal.
b.) If he decided to save with the No Frills Bank,approximately how long would it take for his money to double?(use the rule of 70)
c.) Check your answer to part b) using a more exact method.

1 solutions

Answer 320074 by rfer(12730) About Me  on 2011-07-03 14:58:11 (Show Source):
You can put this solution on YOUR website!
A=2800(1+0.074/12)^12
A=2800(1.00617)^12
A=2800*1.0766
A=3014.48
-------------------
A=2800(1+0.075/2)^2
A=2800(1.0375)^2
A=2800*1.0764
A=1313.92
--------------
9.33 yrs
------------
You do last part


Permutations/466653: a teacher sets 5 objective type questions out of which 4 have to be answered. find out the total number of ways in which they can be answered if first 2 questions have 4 choices and last 3 have 3 choices.
1 solutions

Answer 320046 by rfer(12730) About Me  on 2011-07-03 13:41:50 (Show Source):


Pythagorean-theorem/466711: show whether the points lie in a straight line
1. (0,-1), (1,0), (3,2) ?


1 solutions

Answer 320045 by rfer(12730) About Me  on 2011-07-03 13:39:43 (Show Source):
You can put this solution on YOUR website!
They are a straight line.
Just graph them.


Percentage-and-ratio-word-problems/466738: A businessman spends P4,500 for labor to produce 6,750 units of his products. If he will produce 20,250 units, how much will he spend for labor?
1 solutions

Answer 320044 by rfer(12730) About Me  on 2011-07-03 13:38:02 (Show Source):
You can put this solution on YOUR website!
20250/6750=3
4500*3=$13,500


Evaluation_Word_Problems/466773: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. Please show all your work.
-7x + 7y = -7
x + 9y = 61



1 solutions

Answer 320043 by rfer(12730) About Me  on 2011-07-03 13:35:41 (Show Source):
You can put this solution on YOUR website!
x=61-9y
-7x+7y=-7
-7*(61-9y)+7y=-7
-427+63y+7y=-7
70y=420
y=6
--------------
-7x+7*6=-7
-7x+42=-7
-7x=-49
x=7
-------------
7+9*6=61


Evaluation_Word_Problems/466743: Please help me on this one. I get confused with Word Problems!!! Please help me :) Thanks so much!!!

J.Bond and E.Blofeld are driving speedboats in opposite directions after a failed attempt by the latter to blow up the world with a nuclear bomb. Mr.Bonds boat is going 25 MPH faster than Mr.Blofelds. After 3 hours they are 500 miles apart. How fast was each of them going?
1 solutions

Answer 320040 by rfer(12730) About Me  on 2011-07-03 13:30:44 (Show Source):
You can put this solution on YOUR website!
x+x+25=500/3
2x+25=167
2x=142
x=71 mph
x+25=96 mph


Percentage-and-ratio-word-problems/466727: Successive discounts of 10%, 20%, 30% equal to a discount of ?
1 solutions

Answer 320019 by rfer(12730) About Me  on 2011-07-03 12:09:01 (Show Source):
You can put this solution on YOUR website!
$10*.9=9*.8=7.2*.7=$5.04
5.04/10=0.504=50.4%
I like to work from real numbers.


Equations/466751: What is X?
6x+13=-32-9x
-112-7x=8x+23
5-10x=32-31x
105-2x=16x+23
4x+41=9x-14
1 solutions

Answer 320016 by rfer(12730) About Me  on 2011-07-03 12:04:20 (Show Source):


Linear_Equations_And_Systems_Word_Problems/466675: two cyclists start at the same point and travel in opposite directions. one cyclist travels8km/h faster than the other. if the two cyclists are 270km apart after 5 hours what is the rate of each cyclist?
1 solutions

Answer 319954 by rfer(12730) About Me  on 2011-07-02 22:06:33 (Show Source):
You can put this solution on YOUR website!
x+x+8=270/5
2x+8=54
2x=54-8
2x=46
x=23 kph
x+8=31 kph


Evaluation_Word_Problems/466612: You have 10 cups of sugar. Your cookie recipe calls for 1¼ of sugar for one batch. What is the greatest number of batches of cookies you could make with the sugar that you have?


1 solutions

Answer 319935 by rfer(12730) About Me  on 2011-07-02 20:38:35 (Show Source):
You can put this solution on YOUR website!
10/1.25=8 batches


Volume/466650: In an 8 inch square cake pan and a 9 inch ssquare cake pan, what is the difference in volume each pan will hold? Assume each pan is 1.5 inches high. Show step by step work. Include correct units with your solution.
1 solutions

Answer 319933 by rfer(12730) About Me  on 2011-07-02 20:36:28 (Show Source):
You can put this solution on YOUR website!
8*8*1.5=96
9*9*1.5=121.5
25.5 difference


Probability-and-statistics/466618: You have administered a standardized test of manual dexterity to two groups of 10 semi skilled workers. One of these two groups of workers will be employed by you to work in a warehouse with many fragile items. The higher the manual dexterity of a worker the less likelihood that worker will break significant inventory. Because of a unique contract you must hire all 10 employees from one of the two groups and none of the employees from the other. Group A Scores 63, 79, 64. 83, 87,81, 89, 75, 91, 78 Group B Scores 98, 89, 26, 65, 100, 93, 59, 60, 100, 100. You must decide which group to choose. Choose at least two measures of central tendency and at least one measure of dispersion for each group and use those to make your choice.
1 solutions

Answer 319932 by rfer(12730) About Me  on 2011-07-02 20:34:30 (Show Source):
You can put this solution on YOUR website!
a)
mean=79
median=80
b)
mean=79
median=91


Volume/466648: I have a drilled well 6inches in diameter by 355 feet deep if the well and casing is full to top ,how many gallons is there in that well
1 solutions

Answer 319929 by rfer(12730) About Me  on 2011-07-02 20:24:50 (Show Source):
You can put this solution on YOUR website!
V=pir^2L
V=3.14*0.25^2*355
V=69.69 cu ft
69.69*7.45=520 gallons


Volume/466652: In an 8 in. square cake pan and a 10 in. square cake pan, what is the difference in volume each pan holds? Assume each pan is 2.5 in. high. Show step by step work
1 solutions

Answer 319927 by rfer(12730) About Me  on 2011-07-02 20:15:58 (Show Source):
You can put this solution on YOUR website!
8*8*2.5=160
10*10*2.5=250
90 cu in difference


Mixture_Word_Problems/466639: If you invested $7,363, and you receive $370 in interest, what annual interest rate did you receive on your investment? If necessary, round your answer to the nearest hundredth.
1 solutions

Answer 319903 by rfer(12730) About Me  on 2011-07-02 17:42:53 (Show Source):
You can put this solution on YOUR website!
I=Prt
I/(Pt)=r
370/7363=0.05=5%


Linear-equations/466619: solve using the elimination method
this is what I did
-3x+4y=1 (1)
-6x+6y=-3
muli both sides of problem 1 by -2
6x-8y=-2
-6x+6=-3
=-2y=-5
y=5/2
sub 5/2 for y inequation 1
-3x+4(5/2)=1
-3x+10=1
x=-3
y=5/2,x-3
1 solutions

Answer 319902 by rfer(12730) About Me  on 2011-07-02 17:37:06 (Show Source):


Exponents/466627: Hello! I have a hard time with fractions. Here is my problem, and I wish to know if I worked it out correctly.
(3/4x + 1/2)^2
= (3/4x + 1/2) (3/4x + 1/2)
= 3/4x * 3/4x = 9/16x^2 --> 3/4x * 1/2 (((2/4 * 3/4x)) = 6/16x
= 1/2 * 1/2 = 1/4
= 9/16x^2 + 6/16x + 6/16x + 1/4
= 9/16x^2 + 12/16x + 1/4
I want to know if I worked this problem out correctly.
1 solutions

Answer 319901 by rfer(12730) About Me  on 2011-07-02 17:34:39 (Show Source):
You can put this solution on YOUR website!
9/16^2+3/4x+1/4


Pythagorean-theorem/466631: The legs of a right triangle are 15 inches and 6 inches. Waht is the length of the hypotenuse?
1 solutions

Answer 319900 by rfer(12730) About Me  on 2011-07-02 17:33:33 (Show Source):
You can put this solution on YOUR website!
15^2+6^2=c^2
225+36=261
sq rt 261=16.2 in


Distributive-associative-commutative-properties/466632: Hello! I have a hard time with fractions. Here is my problem, and I wish to know if I worked it out correctly.
(3/4x + 1/2)^2
= (3/4x + 1/2) (3/4x + 1/2)
= 3/4x * 3/4x = 9/16x^2 --> 3/4x * 1/2 (((2/4 * 3/4x)) = 6/16x
= 1/2 * 1/2 = 1/4
= 9/16x^2 + 6/16x + 6/16x + 1/4
= 9/16x^2 + 12/16x + 1/4
I want to know if I worked this problem out correctly.
1 solutions

Answer 319899 by rfer(12730) About Me  on 2011-07-02 17:31:57 (Show Source):
You can put this solution on YOUR website!
looks good except you need to reduce the middle value to 3/4x.
Isn't it fun to try and keep track of all this stuff?
Bob


Percentage-and-ratio-word-problems/466637: Including 8% sales tax, a bed-and-breakfast inn charges $172.80 per night. Find the inn's nightly cost before the tax is added.
#2 A repair bill on a sailboat came to $1603, including $532 for parts and the remainder for labor. If the cost of labor is $63 per hour, how many hours of labor did it take to repair the sailboat?
1 solutions

Answer 319898 by rfer(12730) About Me  on 2011-07-02 17:25:52 (Show Source):
You can put this solution on YOUR website!
A)
172.80/1.08=$160
B)
1603-532=1071
1071/63=17 hrs


Distributive-associative-commutative-properties/466634: Hello! I am working on my Foiling, and I wish to know if I worked it out correctly.
(7x + 4y)^2
= (7x + 4y)(7x + 4y)
= 49x^2 + 28xy + 28xy + 16y^2
= 49x^2 + 56xy + 16y^2
Thanks

1 solutions

Answer 319897 by rfer(12730) About Me  on 2011-07-02 17:23:10 (Show Source):
You can put this solution on YOUR website!
looks good to me.
Good luck.
Bob


Percentage-and-ratio-word-problems/466636: This years salary,$42,074 is a 9% increase over last year's salary. What was last years salary?
1 solutions

Answer 319896 by rfer(12730) About Me  on 2011-07-02 17:21:08 (Show Source):
You can put this solution on YOUR website!
42074/1.09=38,600


Rectangles/466524: a rectangular field is twice as long as its width. if its area is 14450 square meters , find its sides
1 solutions

Answer 319878 by rfer(12730) About Me  on 2011-07-02 14:09:39 (Show Source):
You can put this solution on YOUR website!
x*2x=14450
2x^2=14450
x^2=14450/2
x^2=7225
x=85
2x=170


Rectangles/466526: the length of a rectangular field is five times its breadth. if its area is 37845 square meters , find its sides?
1 solutions

Answer 319877 by rfer(12730) About Me  on 2011-07-02 14:05:58 (Show Source):
You can put this solution on YOUR website!
x*5x=37845
5x^2=37845
x^2=37845/5
x^2=7569
x=87
5x=435