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Question 571479: If there are 25 teachers and 485 students, what is the student to teacher ratio
Answer by ikdeep(189)

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students = 485
teachers = 25
student::teacher
= 485/25
divide numerator and denominator by 5 and we get;
= 97/5
0r 97::5 = student to teacher ratio

Question 571476: Write 1/8 as a decimal
Answer by Alan3354(21555)

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0.125

Question 571480: Find the area of a circle with a radius of 4cm
Answer by solver91311(12118)

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John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

Question 571474: What Is the name of a 4 sided polygon with 1 pair of sides parallel
Answer by mrjunecarlo1095@ymail.com(7)

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Trapezoid

Question 570611: I sent u a question this is supposed to be free so why couldn't u answer the question
Found 2 solutions by Alan3354, richard1234:
Answer by Alan3354(21555)   (Show Source):
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Sometimes the questions make no sense, such as
"What is 2x + 3 = x +7?"
I might answer that it's an equation. You should say "Solve for x"
-----
Sometimes they're ambiguous, such as
2/x + 7 - 4/x - 6 = 9
Is the denominator x? Or x+7 ?
-----
Then there's 2^x+3 = 6
Is the exponent x ? Or x+3 ?
-----
1/2x + 3 = 7
Is it (1/2)x ? Or 1/(2x) ? Or 1/(2x+3) ?
------------
You can post them like that all day long, I'll ignore them.
-----
The last 50 problems posted are shown by default. After awhile, your problem is pushed down, off the screen.
=============================================
If you're not happy with that, we will refund your money.

Answer by richard1234(4789)   (Show Source):
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The way algebra.com works is, tutors see a long list of questions (up to 400, 50 by default) posted by users. They will usually answer questions to their liking (e.g. algebra questions, calculus questions, easy/hard questions) or whichever they can answer right away, but it all depends. They have to locate your question and answer it. Since questions are uploaded at a faster rate than tutors can solve it, some questions will go unnoticed.

Best advice would be to repost the question. The site is completely free to use; you can hire certain tutors but that's up to you and them. However, make sure that a tutor can be willing to answer your question. If your question violates the guidelines for posting (e.g. too many questions in one post, too long, ambiguous, poor grammar, etc.), tutors may reply with a negative response, or simply gloss over the question.

Question 570984: 1.) A citrus grower estimates that if 60 orange trees are planted, the average yield per tree will be 400 oranges. The average yield will decrease by 4 oranges per tree for each additional tree planted on the same acreage. Find the total number of trees the grower should plant to maximize yield.
2.) A person is standing 3 ft away from a street light that is 15.6 ft tall. How long is his shadow if he is 5.2 ft tall?
Answer by KMST(578)   (Show Source):
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CITRUS GROWER PROBLEM
The yield per tree, can be expressed as with being the number of trees.
The total yield, will be .
We need to express as a function of .
--> -->
So
The total yield function,
, is a quadratic function, which would graph as a parabola.
Because the leading coefficient is negative, the function has a maximum, corresponding to the vertex of the parabola, where the parabola crosses its axis of symmetry.
We need to find the axis of symmetry, which will give us the x-coordinate for the maximum.
The equation for axis of symmetry/x-coordinate of the maximum is
-->
The number of trees for maximum total yield in the same acreage is .
SHADOW PROBLEM
<--- This sketch illustrates the situation.
Consider two similar right triangles. The legs of the smaller right triangle are the height of the person (p) and the length of the person’s shadow. The legs of the larger right triangle are the height of the street light (sl) , and the distance from its base to the end of the person’s shadow. The hypotenuse of the larger triangle is the light beam coming from the light bulb, grazing the person's head, and touching the ground just at the end of the person's shadow.
Let x be the length of the person’s shadow. Because those right triangles are similar, there is a proportion for the ratio of horizontal leg to vertical leg:
--> --> --> --> --> -->
The length of the shadow is feet.

Question 571055:
Answer by jim_thompson5910(21667)   (Show Source):
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missing problem

Question 571083: Can you teach me algebra from A-Z?
Answer by Edwin McCravy(6932)   (Show Source):
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Go here:
http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/

Question 571047: Tickets for the school play sell. For $3 for a student and $5 for an adult. One night 595 people bought tickets. The school took in $1951. How many adult tickets and how many student tickets were sold?
Answer by nyc_function(2626)   (Show Source):
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Let s = students
Let A = adults

3s + 5A = 1951
s + A = 595
Solving by substitution, I got s = 512 tickets and A = 83 tickets.

Question 570995: Karen is going to deposits $5000 into an account that pays 6% interest compounded continuously. How much will she have after 5 years?
Answer by rfer(10417)   (Show Source):
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A=5000(2.7183)^0.06*5
A=5000(2.7183)^0.3
A=5000(1.34986)
A=$6749.30

Question 570989: 1.) Suppose that x and y are real numbers with x + 3y =20.
a.)Find the smallest value of x^2 + y^2.
b)Find the greatest value of xy.
c.) Find the smallest value of (x-y)^2.
d.)The greatest value of y^2 - x^2.

2,) Sally worked 50 hrs last week and made $495 for the week. For every hour worked over 40 hours, her job pays time and a half. What is sally's hourly pay rate.
Answer by htmentor(580)   (Show Source):
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1.) Suppose that x and y are real numbers with x + 3y =20.
a.)Find the smallest value of x^2 + y^2.
b)Find the greatest value of xy.
c.) Find the smallest value of (x-y)^2.
d.)The greatest value of y^2 - x^2.

2,) Sally worked 50 hrs last week and made $495 for the week. For every hour worked over 40 hours, her job pays time and a half. What is sally's hourly pay rate.
===========================
a) Express y in terms of x:
y = (1/3)(20-x)
So x^2 + y^2 = x^2 + [(1/3)(20-x)]^2 = x^2 + (1/9)(400-40x+x^2)
Collecting terms gives (10/9)x^2 -(40/9)x + 400/9
This expression is minimized when the derivative equals 0:
(20/9)x - 40/9 = 0
This gives x = 2
So y = (1/3)(20-2) = 6
So the smallest value is 2^2 + 6^2 = 40
b) xy = (x/3)*(20-x) = (20/3)x - (1/3)x^2
The expression will be a maximum when the derivative=0:
0 = 20/3 - (2/3)x
This gives x = 10
Therefore y = 10/3
The maximum value is 10*10/3 = 100/3
...I'll leave the other two for you to do...
2) Let x = Sally's hourly pay
Her total pay will be the hourly pay times 40 hrs plus 10 hrs working at time and a half:
495 = 40x + 10*3x/2 = 40x + 15x = 55x
This gives x = 9
Her hourly salary is $9

Question 571003: find triangle
A= pi/3
b= 2 m
c=4m
Answer by Alan3354(21555)   (Show Source):
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find triangle
A= pi/3
b= 2 m
c=4m
------------
Assuming side a is opposite angle A, etc.

meters
----------
Use the sine law to find another angle
sin(A)/a = sin(B)/b
sin(B) = b*sin(A)/a
B = pi/6
----
C = pi - (A + B)
C = pi/2

Question 570949: A rectangle has a length of 25 cm and a width of 14 cm. What is the perimeter of the rectangle?
A.
28 cm

B.
39 cm

C.
50 cm

D.
78 cm
Answer by Alan3354(21555)   (Show Source):
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A rectangle has a length of 25 cm and a width of 14 cm. What is the perimeter of the rectangle?
----------
P = 2W + 2L

Question 570913: test-test=
Answer by JBarnum(1826)   (Show Source):
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no test

Question 570874: [26-(12-3)/4] does pemdas apply on this equation with brackets?
Answer by Alan3354(21555)   (Show Source):
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[26-(12-3)/4] does pemdas apply on this equation with brackets?
-------------
You can use pemdas on that.
But it's not an equation, there's no equal sign.

Question 570673: I need the answers to each problem
Answer by richard1234(4789)   (Show Source):
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Why don't you post the actual problems instead. Also, you won't learn much from the answers unless you know the solution to them.

Question 570733: 7x+5y=-6
4x+3y=-4
Answer by mananth(10541)   (Show Source):
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7 x + 5 y = -6 .............1
4 x + 3 y = -4 .............2
Eliminate y
multiply (1)by -3
Multiply (2) by 5
-21 x -15 y = 18
20 x 15 y = -20
Add the two equations
-1 x = -2
/ -1
x = 2
plug value of x in (1)
7 x + 5 y = -6
14 + 5 y = -6
5 y = -6 -14
5 y = -20
y = -4

Question 570792: Perpendicular to y= 1/3x + 2; (3,3)
Answer by mananth(10541)   (Show Source):
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1 y = 1/3 x + 2
Divide by 1
y = 1/ 3 x + 2
Compare this equation with y=mx+b
slope m = 1/ 3

The slope of a line perpendicular to the above line will be the negative reciprocal -3
m1*m2=-1

m= -3 ,point ( 3 , 3 )
Find b by plugging the values of m & the point in
y=mx+b
3 = -9 + b
b= 12
m= -3
The required equation isy =-3x + 12
m.ananth@hotmail.ca

Question 570709: The points on a scatterplot lie very close to the line:
y = 6x - 1
The correlation between x and y is closest to which of the following values?

1. 6
2. 0
3. -6
4. 1
5. -1

Answer by richard1234(4789)   (Show Source):
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Correlation is defined to be between -1 and 1, so 6 and -6 are impossible. The correlation is 1 if the (x,y) points all lie on a line of positive slope (-1 for negative slope). Since y = 6x - 1 has positive slope, the correlation is roughly 1.

Question 570508:
Answer by themathtutor127(34)   (Show Source):
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Question 570730:
Answer by themathtutor127(34)   (Show Source):
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Question 570731:
Answer by themathtutor127(34)   (Show Source):
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Question 570675: Find circumference to nearest whole number. 17 1/2 times 22/7
Answer by rfer(10417)   (Show Source):
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35/2*22/7=770/14=55

Question 570588: How do you solve system of linear equations algebraically that have different coefficients for example
2a+6z=4
3a+7z=6
Answer by ankor@dixie-net.com(12684)   (Show Source):
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2a + 6z = 4
3a + 7z = 6
:
remember you can multiply both sides of the equation without changing equality
Multiply one or both equations so that adding or subtracting eliminates one of the unknowns
:
Multiply the 1st equation by 3, multiply the 2nd equation by -2, results:
+6a + 18z = 12
-6a - 14z =-12
---------------adding eliminates a, find z
0a + 4z = 0
z = 0
:
Find a using the 1st original equation
2a + 6z = 4
Replace z with 0
2a + 0 = 4
a = 4/2
a = 2
:
The solution: a=2; z=0
;
:
YOu can confirm this in the 2nd original equation
3a + 7z = 6
Replace a with 2, replace z with 0
3(2) + 7(0) = 6
6 + 0 = 6

Question 570107: Cristina found out that the total electrical resistance of R of two resistors connected in parallel is given by 1/R=1/R1+1/R2. The total resistance is 12.3 ohms. Let 2x-1=R1.
A. Express the second resistance R2 as a function of x.
B. Find R2 if x is : ohms.
Answer by ankor@dixie-net.com(12684)   (Show Source):
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=.
The total resistance is 12.3 ohms. Let 2x-1=R1.
=.
:
A. Express the second resistance R2 as a function of x.
=
Lets simplify things here
Let a = R1 = (2x-1)
Let b = R2
Rewrite the equation to
= + .
Multiply thru by 12.3ab
12.3ab*= 12.3ab* + 12.3ab*
cancel the denominators, results
ab = 12.3b + 12.3a
Get b in terms of a
ab - 12.3b = 12.3a
Factor out b on the left
b(a-12.3) = 12.3a
b =
Replace a with (2x-1), and b with R2
R2 =
:
R2 = ; is R2 in terms of x
:
:
B. Find R2 if x is : ohms. You didn't give any value for x, you can find what that is and substitute it for x in the above, to find R2

Question 570581: Solve system of linear equations in two.variables algebraically
Answer by Alan3354(21555)   (Show Source):
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I can do that.
Post a problem, I'll show you.

Question 570376: a lot has trees covering 33 1/3% of the area. if the trees cover 8166.7 ft.2 what is the total area to the nearest whole square foot.
Answer by stanbon(48516)   (Show Source):
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a lot has trees covering 33 1/3% of the area. if the trees cover 8166.7 ft.2 what is the total area to the nearest whole square foot.
---
Let total area = "x":
33 1/3% * x = 8166.7 ft^2
---
x = 8166.7/(33 1/3%)
----
x = (8166.7*100) / (33 1/3) = 24,500.1 sq. ft.
=========================
cheers,
Stan H.

Question 570233: Write the inequality statement for: -2.5 and -0.75
Answer by jim_thompson5910(21667)   (Show Source):
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-2.5 < -0.75 since -2.5 is larger in absolute value

Question 570212: Please help me find the inverse of functions with an example like this:
f(x)=8(x-13)
Answer by nerdybill(5404)   (Show Source):
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Please help me find the inverse of functions with an example like this:
f(x)=8(x-13)
replace f(x) with y:
y=8(x-13)
switch x and y and solve for y:
x=8(y-13)
x/8 = y-13
x/8 + 13 = y
.
Therefore, the inverse is:
x/8 + 13

Question 569486: (yes-yes+yes+yes)(yes)=?
Answer by JBarnum(1826)   (Show Source):
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2y^2e^2s^2

Question 569674: Stastics Plus probability minus Stastics equals?
Answer by JBarnum(1826)   (Show Source):
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probability

Question 569534: 1x2x3x4x5x6x7x8x9x10x11x12x13x14x15x0x16x17x18x19x111=?
Answer by JBarnum(1826)   (Show Source):
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zero

Question 569723: 100-50+25+25+50-100-25-25=?

Answer by JBarnum(1826)   (Show Source):
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zero

Question 569732: (1+2+3+4+5+6+7+8+9+12+14+16+18+19)(0)=?
Answer by JBarnum(1826)   (Show Source):
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zero

Question 569618: 0x0+5x0=?
Answer by JBarnum(1826)   (Show Source):
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zero

Question 569796: 1x1=?
Answer by JBarnum(1826)   (Show Source):
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one

Question 569843: 1-1=?
Answer by JBarnum(1826)   (Show Source):
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zero

Question 569857: 1+1=?
Answer by JBarnum(1826)   (Show Source):
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2

Question 570148: DOES THE SUN SHINE EVEN WHEN IT RAINS?
Answer by JBarnum(1826)   (Show Source):
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yes always

Question 570193: does my cat meow
Answer by JBarnum(1826)   (Show Source):
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yes

Question 570196: Solve y=x+3-1
2x+y=-6

Answer by JBarnum(1826)   (Show Source):
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um what help are u looking for?
solve for x?,y?, both?, substitution method? or elimination method?...

Question 570197: Y=4x-1
Y=3x+6
Answer by JBarnum(1826)   (Show Source):
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um what help are u looking for?
solve for x,y, both, substitution method or elimination method...

Question 570198: Y=2x
Y=4x+12
Answer by JBarnum(1826)   (Show Source):
You can put this solution on YOUR website!
um what help are u looking for?
solve for x,y, both, substitution method or elimination method...