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Question 9434: I need to solve these two word problems, where do I start

Bart can complete his science task twice as quickly as Carl can. When they work together, the task takes 3 hours. How long would it take Carl to do the work alone?

The ratio of women to men in a certain club is 3 to 2. If there are 24 male club members, then how many female club members are there?

Click here to see answer by rapaljer(4667)

Question 9449: Hello-
Thanks in advance for helping me with this problem. I found the answer, but through guess and check, so it would be very helpful if you could tell me how to find the answer mathematicaly.
Mark and David both own a lot of Matchbox cars. Mark owns seven times the square root of the amount David owns. Together they own the square root of 9 multiplyed be the quotient of 27,150 and 181. How many cars do they own in all? How many cars does each boy own? Who owns more?
This really stumped me, but I found an answer.
Mark owns 126 cars.
David owns 324 cars.
Together they own 450 cars.
David owns more.
Thanks again in advance and I can't wait to hear from you.
Sincerely,
Trevor Pierce
Click here to see answer by rapaljer(4667)

Question 9592: A flag is raised while an onlooker watches from a distance of 12 feet away from the base of the flag pole (see the figure below). The flag rises vertically at a rate of 7 inches per second. Let t denote the time (in seconds) after the flag begins to rise (For simplicity, assume that when the flag begins to rise it is 0 inches above the ground). Express the distance d (in feet) between the flag and the onlooker as a function of t. d (t) = ?
Click here to see answer by prince_abubu(198)

Question 9590: A right triangle has one vertex on the graph of y = 3 - x^2, x > 0, and (x, y), another at the origin, and the third on the positive x-axis at (x, 0). Express the area A of the triangle as a function of x.
Click here to see answer by prince_abubu(198)

Question 9737: My daughter says that her teacher did not explain how to convert unit multipliers.? I am not sure what she is asking. Can you help us please.
Thank you.
Click here to see answer by askmemath(368)

Question 9839: Please help solving the equation 12x2-6 = x will that result in
1 rational root, 2 rational roots or 2 irrational roots, I can't seem
to figure this one out
Click here to see answer by longjonsilver(2297)

Question 9832: I just can't figure out the first step to get this set up for a quadratic equation.
(x / 5 - 3)^2 = 63
Click here to see answer by rapaljer(4667)

Question 9888: For which of the following expressions would the value be greater if 160 were replaced by 120. (There may be more than one correct answer.)
1) 1,000-160
2) (160)/(1+160)
3) (1)/(1-(1/160))

Click here to see answer by torielan(2)

Question 9769: Hello, I have thought about this one for a couple of days and don't even know where to begin. Any assistance would be greatly appreciated!

If the product of the integers w, x, y, and z is 770, and if 1 < w < x < y < z, what is w + z.
a) 10
b) 13
c) 16
d) 18
e) 21
Click here to see answer by askmemath(368)

Question 9884: Please help I can't figure this out!
A wire is cut into 3 equal parts. The resulting segments are then cut into 4, 6, and 8 equal parts, respectively. If each of the resulting segments has an integer lenght, what is the minimum lenght of the wire?
Click here to see answer by askmemath(368)

Question 9886: Charles recieved grades of 82, 93, 77, and 88 on his first four tests. What grade must he get on the fifth test to have an average of 89?
Click here to see answer by askmemath(368)

Question 9926: Why is a quadratic equation called a quadratic equation?
why is it so called?
Click here to see answer by Earlsdon(6294)

Question 10104: Using the factoring method , solve for the roots of each equation. Place equation in standard form before factoring. Check your solution and show the check. Can someone please help me with this?
3x^2 = 75

Click here to see answer by longjonsilver(2297)

Question 10210: Here is the question:

If the length of a rectangular field is 8 feet more than double its width. Find the dimensions of the filed if its area is 540 square feet?

I know you have to use A = l * w, but how do you start. I started like this:
540 = (8 + x) ( x^2)
would it then be : 540 = 8x + x^2?
Then do you have to subtract 540 from the left side to bring it to the right?

8x + x^2 - 540 = 0

I'm lost. Please help. I appreciate all your help. Thank you.
Click here to see answer by Earlsdon(6294)

Question 10270: solve 3x³-4x-1

Click here to see answer by khwang(438)

Question 10269: 1)A farmer wishes to grow a 100 m^2 rectangular vegetable garden.Since he has with him only 30 m barbed wire, he fences three sides of the rectangular garden letting compound wall of his houseact as the fourth side-fence.Find the dimensions of his garden.
[Hint:If the length of one side is x metres, the other side will be (30-2x)m.Therefore,x(30-2x)=100]
Click here to see answer by rapaljer(4667)

Question 10272: graph the line with equation 5x-6y-18=0
Click here to see answer by rapaljer(4667)

Question 10202: CAN SOMEONE GET ME STARTED HERE? I NEED TO SOLVE BY THE QUADRATIC FORMULA
1/12 + 3/x = 2/x + 1
Click here to see answer by Earlsdon(6294)

Question 10335: Can anyone tell me if I did this correctly?

3/x + 2 + x/x^2-4

This is what I did. I took the x^2 - 4 and changed it to (x+2)(x-2) and then crossed out both (x + 2) which left me with this answer:

3x/x-2

Is this correct? Thanks for your help. I appreciate it.
Click here to see answer by rapaljer(4667)

Question 10333: Can anyone tell me if I did this correctly?

3/x + 2 + x/x^2-4

This is what I did. I took the x^2 - 4 and changed it to (x+2)(x-2) and then crossed out both (x + 2) which left me with this answer:

3x/x-2

Is this correct? Thanks for your help. I appreciate it.
Click here to see answer by rapaljer(4667)

Question 10409: I have just started using the TI84 plus and we are supposed to use a graphing utility to aprox the real solution rounded 2 dec places. all solutions lie between -10 and 10.
x^3-4x+2=0
It says use (Zero or Root) on the graph of y1=
I dont understand this at all. Can anyone help me?
Tina
Click here to see answer by rapaljer(4667)

Question 10429: I am preparing for my first college algebra exam and math has always been my weakest subject (especially factoring) How do you factor cubic equations for ex. x3-64?
Click here to see answer by rapaljer(4667)

Question 10436: If f(x)=x^2-3x+5, find f(1)-f(4)
Click here to see answer by calbreez(9)

Question 10435: The lenght of a rectangle is (3x) yards and its width is (x+2) yards. For what value of x will the perimeter of the rectangle be 40 yards.
Click here to see answer by calbreez(9)

Question 10433: In the repeating decimal 0.097531097531..., what is the 44th digit to the right of the decimal point?
Click here to see answer by calbreez(9)

Question 10468: 3x+4x-15=0
Click here to see answer by WannabeCAgirl83(35)

Question 10509: What does a graph of a parabola with no real solution look like?
Click here to see answer by Earlsdon(6294)

Question 10555: hi i really need your help and preferably within the next 15 minutes. i have test tomorrow and i am totally lost when it comes to piecewise functions. i do not know where to begin in those stupid problems! i reall need you help. here's a sample problem that i'm stuck on.
{3+x x<0
{x2(xsquared)+1 x>_(more than or = to) 0
really sorry about the poor typing on that one. please give me some feedback as soon as possible! thanks.
Click here to see answer by rapaljer(4667)

Question 10566: everyone alwasy shows the main steps in quadratic equations.. but what do you do when it comes to reducing?? here is one of my questions..x2(x squared)-8x-3=0
Click here to see answer by rapaljer(4667)

Question 10629: 2x^2+3=2x find solution of the equation and express them in the form a+bi
(^2 is square root)
Can you use the quadratic equation?
Click here to see answer by Earlsdon(6294)

Question 10577: Does this quadratic equation have a solution and how do I justify?
1. p2-4p+4=0, 2.m2+m+1=0, 3. 3z2+z-1=0
Click here to see answer by gudie(3)

Question 10541: I am having problems with two word problems:

An open box will be made from a square piece of cardboard of length 26 inch by cutting 2 inch squares from the corners and folding up the sides. Find the volume of the box.

So if the length is 26 inches and you cut 2" squares off each end, then would the length then be 22?

So would the volume be l*w*h?
22 * 22* 2 = 968?

A ladder is leaning against the wall. The distance from the bottom of the ladder to the wall is 3 feet less than the length of the ladder. Find the length of the ladder if the distance of its top to the ground is 4 feet less than the length of the ladder.

I'm thinking the formula you use is:

a^2 + b^2 = c^2

So, a = c -3, and b = c-4

(c-2)^2 + (c-4)2 = c^2

c^2 -6c + 9 + c^2 - 8c + 16 = c^2

c^2 - 14c + 25 = 0

Then I'm stuck. I may be way off to begin with. Any help would be greatly appreciated. Thanks.

Click here to see answer by Earlsdon(6294)

Question 10673: An object is throwen from the origin of a coordinate system with the x-axis along the ground and the y-axis vertical. Its path, or trajectory, is given by the equation y=400x-16 x squared. Find the objects maximum height.
Click here to see answer by Earlsdon(6294)

Question 10773: 4x^4-18x^2=0
Click here to see answer by rapaljer(4667)

Question 10766: i am very confused on most things i think that i not only need a tutor for this, but a tutor in math also. i am really bad i think that i need lots of help.
Click here to see answer by rapaljer(4667)

Question 10771: Solve for t: 2t+7 is less than t+15 and 5t+6 is greater than or equal to 2t+12
please help me i really don't understand how to do this. thanks so much.
Click here to see answer by askmemath(368)

Question 10887: Hi, I am very confused with this problem I cannot seem to apply the pythagoream formula to it. Can you Please help? Thanks:" Two boats leave San Diego at the same time. One boat sails due north and the other due west. When they are 10 miles apart, the boat traveling north has sailed 2 miles farther than the boat sailing west. Find the distance each boat has traveled."
Click here to see answer by Earlsdon(6294)

Question 11021: x(x+3)=(-4x-11)/4
I come up with
(x+3)=(-7x)/4
and that is the further I get from there.
marie
Click here to see answer by longjonsilver(2297)

Question 11060: say you have the equation y = x^3 - 3. How would you solve the y-intercept, the x-intercept and the vertex to this equation?
Click here to see answer by Earlsdon(6294)

Question 10434: A medium sized pizza is 9" in diameter and costs $6.80. A large sized pizza is 12" in diameter and costs $9.95. What is the difference in the price per square inch between a medium and a large pizza? Round your answer to the nearest cent.
Click here to see answer by roxy9229(32)

Question 11133: The bus began its route with some passengers. At the first stop, 4 people got on and 1 got off the bus. At the second stop, 5 people got on and 3 got off. At the third stop, 6 passengers got on and 5 others got off. At the fourth stop, 7 more got on and 3 got off. At the fifth stop, 8 got on and 6 got off. When the bus finally arrived at the terminal, there were 21 passengers on board. How many people were on the bus when it began its route?
Click here to see answer by roxy9229(32)

Question 11123: The sum of three consecutive integers is 369. What is the smallest integer?
Click here to see answer by askmemath(368)

Question 11354: I am trying to home school my son and I am having difficulty in explaining the steps for this quadratic equation problem in completing the square.
0.4x2 + 1.1 =2
I know that you have to multiply the decimals by 10 to get rid of the decimals.
Click here to see answer by askmemath(368)

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