Questions on Algebra: Square root, cubic root, N-th root answered by real tutors!

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Question 122074: My question is:
what is the cube root of x -5=3
From what I understand cube root is the same as writing 1/3
This is what I have tried to figure it out:
cube root of x -5+5=3+5
cube root of x=8
1/3x / 1/3 = 8 / 1/3
x=2.664
We are asked to change all noninteger numbers as a fraction so my final answer is:
x=2 33/50
Is this correct?

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Question 122068: how do i simplify square root of 6x^10y?
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Question 122055: 5th root of(-64)
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Question 122033:
what is the value of x in the equation 13x-2(x+4)=8x+1

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Question 122033:
what is the value of x in the equation 13x-2(x+4)=8x+1

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Question 122025: sqrt75a^2 divided by sqrt5 in simplist form. Thank you
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Question 122025: sqrt75a^2 divided by sqrt5 in simplist form. Thank you
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Question 122203: sqrt84x divided by sqrt3x in simplist form
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Question 122232: Please help solve for this equation
Show the steps that you would take to solve the following algebraically:
5-2/x-6=10-2x/x-6
Show work here
What potential solution did you obtain? Explain why this is not a solution.

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Question 122302: Find two positive real numbers that differ by 1 and have a product of 1.
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Question 122301: Find all real or imaginary solution to the question.
6x=-(19x+25)/x+1

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Question 122301: Find all real or imaginary solution to the question.
6x=-(19x+25)/x+1

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Question 122325: (square root of x+2)-x=0 Solve algebraically and check your potential solutions: I have no idea how to do this problem. Any suggestions will be very helpful
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Question 122488: Find all real or imaginary solutions to the eqyation.
3v^2+4v-1=0

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Question 122489: Find all real or imaginary solutions to the eqyation.
sqrt[7x+29]=x+3

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Question 122508: Determine whether the graph of each parabila opens upward or downward.
y=-(1/2)x^2+3

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Question 122517: Find all real and imaginary solution to the equation.
b^4+13b^2+36=0

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Question 122532: Having trouble with this problem: (8x+5)^2 = 16 I need to solve this using the square root property. PLEASEEE HELP!!! I have spent hours!
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Question 122535: Thomas is going to make an open-tpo box by cutting equal suqres from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the base is to be 80 square inches, then what size suqare should be cut from each corner?
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Question 122493: Solve the eqation. (x-10)(x-2)=-20
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Question 122486: Find all or imaginary solution to the equation.
w^2=-225

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Question 122491: Solve the equation. 2y^2-3y-6=0
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Question 122482: I could use some help on the following. The instructions say: Find the domain for the following function and write your answer using interval notation.
f(x)= inside swuare root is 2x+6
I would appreciate any help.
Thank You
Kay

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Question 122510: Find the vertex and intercept for the parabola. Sketch the graph.

g(x)=X^2+x-6

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Question 122487: Find all real or imaginary solutions to the eqyation.
w^2=-225

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Question 122583: I do not understand this at all. I am to evaluate this problem but I am just confused.
^3sqrt-27

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Question 122582: I do not understand this at all. I am to evaluate this problem but I am just confused.
5 sqrt2 - 3 sqrt 5

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Question 122516: Find all real solution to the equation. x^2+x+sqrt[x^2+x]-2=0
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Question 122674: Solve the equation. x^2+2x-1=0
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Question 122780: How do you evaluate expressions involving radicals? 4,square root symbol over -20736
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Question 122844: The position of an object moving in a straight line is given by s=2tsquared - 3t, where s is in meters and t is the time in secoonds the object has been in motion. How long (to the nearest tenth) will it take the object to move 19 meters?
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Question 122844: The position of an object moving in a straight line is given by s=2tsquared - 3t, where s is in meters and t is the time in secoonds the object has been in motion. How long (to the nearest tenth) will it take the object to move 19 meters?
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Question 122842: Find real or imaginary solutions by using quadratic formula.
x square - x =6

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Question 122841: Find the perfect square trinomial whose first two terms are given.
x square + 8x

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Question 122598: Please help solve for the following equation:

A) If y= sqrt x+2, fill in for x=0,1,2,3,4. Round to the nearest three decimal places where necessary.
Please show work
B) Explain why no negative values are chosen as values to substitute in for x
Thank you in advance

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Question 123330: A company uses the fomula C(x)= 0.02x^2-3.4x+150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its maximum? What is the unit of cost at the level of production?
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Question 123335: Sharon's revenue R(in dollars) on the sales of x fruitcakes is determined by the fomula R=50x-x^2. Her cost C(in dollars) for producing x fruitcakes is given by the fomula C=2x+40.What value of x is Sharon's profit positive?
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Question 123333: An artist wants her painting to be in the shape of a golden rectangle. If the length of the painting is 36 inches, then what should be the width?
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Question 123336: The stabilization ratio (births/deaths) for south and Central America can be molded by formula y=-0.0012x^2+0.074x+2.69 where y is the number of births divided by the number of deaths in the year 1950+x. Use the formula to find the yea in which the stabilization ratio was at its maximum.
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Question 123332: Thomas is going to make an open -top box by cutting squares from four coners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 ibches, then what size square should be cut from each corner?
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Question 123607: FInd all or imaginary solution to the equation.
6x^2+19x+31=0

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Question 123602: Solve the rational inequality. State and graph the soluton set.
a/a+2 is smaller than 0.

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Question 123331: Debbi traveled by boat by 5 miles upstream to fish in her favorite spot. Because of the 4-mhp current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water?
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Question 123925: Please can you help me with this problem?
sqrt 30x-15 = x+7

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Question 124116: The base of a ladder is 11 feet away from the wall. The top of the ladder is 11 feet from the floor. Find the length of the ladder to the nearest thousandth.
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