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omg thank you so much now i can get a god grad

it is 42

We have 

(-10 + 24)  + (-8 + 22)  + (-6 + 20)  .........(6 + 8)

9 pairs of numbers where each pair sums to 14    =  9(14)   = 126

I think the error occurs in this step and in the next step.

Here, you said  +  when it should be minus. It should be

\(\frac{10x}{10x-30}-\frac{3x-9}{10x-30}\,=\,\frac{5}{10x-30}\)

And then, after multiplying through by  10x - 30 ,  we get

10x - (3x - 9)  =  5       ( Somehow in your next step, you did get the minus on the 3x . )

10x - 3x + 9  =  5

10x - 3x  =  5 - 9

7x  =  -4

x  =  -4/7

Actually, that function exists on the calculator already.

Let's say you need to know the value of \(|-7|\), just type in abs(-7) on the command line. You will see that |-7| = 7

If Sara splits it between 1 kid, that kid gets 2 candy bars.

If Sara splits it between 5 kids, they each get \(2\over5\) candy bars.

If Sara splits it between 999999999999999999999999999 kids, they still each get \(2\over999999999999999999999999999\) candy bars each.

Final answer? A lot.

The vertex  on the dilated image of ABCD  farthest from the origin is  (18, -18)

I believe this is the correct picture :

Think about this one...

If a team has 28 students, and there is only 1 team,

how many students are there?  28 .

Now imagine there are  2  teams, each with 28 students.

How many students are there? There are two batches of 28, that is  28 + 28 , or  2 * 28 .

What if there are  3  teams of 28 students? There will be  28 + 28 + 28  =  3 * 28

If there are  37  teams, each with 28 students, there are  37  batches of 28 students.

How many students are there?

If you are still confused, please don't hesitate to ask for more help.  

37 teams * 28 students per team = 1036 students. 

volume of cone  =  (1/3)(pi)(radius)²(height)

The height of the cone will be the same as the height of the triangle.

height  =  12 sin 60°  =  12 √3 / 2   =  6√3

The radius of the cone will be half of the base of the triangle.

radius  =  12 / 2  =  6

So..   volume of cone  =  (1/3)(pi)(6)²(6√3)   =   (1/3)(pi)(36)(6√3)  =  72 pi √3  cubic centimeters

Solve the following system:  where F = First term,  D=Common difference
{5 D + F = 8 | (equation 1)
9 D + F = 13 | (equation 2)

Subtract equation 1 from equation 2:
{F + 5 D = 8 | (equation 1)
0 F+4 D = 5 | (equation 2)

Divide equation 2 by 4:
{F + 5 D = 8 | (equation 1)
0 F+D = 5/4 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{F+0 D = 7/4 | (equation 1)
0 F+D = 5/4 | (equation 2)

F = 7/4 First term       and        D = 5/4 Common difference

The Sequence is: 7/4 + 12/4 + 17/4 + 22/4 =58/4 =14.50

Even though ISG didn't need any help on this problem, it might be an interesting one to look at.

Area of ABC  can be expressed as

(1/2)xy sin (70)  =  30    

xy  =  60 / sin(70)

So....the area of PQR  =

(1/2)xy sin (110)        subbing for xy, we have

(1/2)[ 60 / sin (70)] * sin(110)  ⇒    note that sin(70)  =  sin(110)  .....so....

Area of  PQR  =  (1/2) 60  =  30

Never mind, issue was fixed. admin might want to look into that though.

We're all getting frustrated, so let's start with what we know:

The C's are mirrored on either side, so we know that the solution has to be even.

That's all I can think of.

Can you please post your question?

2 1/3 = 7/3

1 1/5 = 6/5

7/3 divided by 6/5 = 7/3 times 5/6

7/3 times 5/6 = 35/18, or 1 17/18

It rounds them to infinity, which it shouldn't be doing ... unless you are dividing one number by a number extremely small in multiplicative comparison. Either way, all calculators have limits, and some will say "math error" if there is a number too big for it to handle, such as \(\pm googol^{\pm 1}\)on some scientific calculators. You are still right - infinity is not the correct answer for anything, as long as it is not 1/0.

Arithmetic Sequence: t(n) = m*n + b (Linear)

t(6) = 8

t(10) = 13

t difference = 4

output difference = 5

m = 1.25

6*1.25=7.5

8-7.5 = 0.5

t(n)=1.25n + 0.5

Sequences start at one. I am taking a shortcut on this by using a formula I know to quickly take the sum of any numbers in sequence:

0.5*4 = 2

(4² + 4)/2 * 1.25 = 12.5

12.5 + 2 = 14.5

Answer is g

What you said wasn't stupid at all - as a matter of fact, it sounds like you thought a lot about it.

I'm pretty sure the mods like it, too.

nm it didn't need it

There are no mods online 

Never mind what I posted here is no longer relevant.