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Its ok lol

your math skills will increase as you grow up.

your brain will grow BIGGER.

Can you please un-latex it?

Plug (3, 8) in.

\(-10(3)?6(8)=18\)

\(-30?48=18\)

\(?=+\)

Of course, that's just directly checking guest's answer.

But we plug (3, 8) in to solve, it might take some guessing and checking/

It would be insanely hard to get the answer, didn't want to make it too hard...

Here are the divisors of 135 = (1, 3, 5, 9, 15, 27, 45, 135) >>Total = 8

I don't really know what they mean!!. Try one of the divisors from 9 and up and see what you get.

You certainly could! I just thought that was too obvious !!!!.

I'm supposed to be in 5th grade...

I hope you enjoyed getting schooled by a seventh grader! I'm just kidding. I wish you the best of luck for your MATHCOUNTS entry exam.

Go back to that Venn diagram.

It would have a place for FICTION, a place for NONFICTION, and then an intersection. We have to subtract eight from both because 8 people like both. If they like both, that means they are included in the place where people like fiction, in the place where people like nonfiction, and the intersection. We don't want this to be counted three times. Instead, we subtract 8 from both main quantities and just leave the thing that is common. If you haven't already, you should look at the basics of sets. It kind of gets into this topic once you learn the main idea.

m mod 9 = 6

m = 9 + 6 = 15

n mod 9 = 0

n = 9 

m x n = 15 x 9 = 135

The largest integer that mn is divisible by is: 

9 x 6 = 45

1 - 2 * [3x + 4] + [x +16] = 180 degrees

Solve for x

x =156 / 7 =22 2/7 - degrees.

2 - [3x + 4] + 2*[x + 16] = 180 degrees.

Solve for x

x = 144 / 5 = 28.8 degrees.

2)

1. Semiperimeter of the triangle
The semiperimeter of the triangle is half its perimeter. The semiperimeter frequently appears in formulas for triangles that it is given a separate name. By the triangle inequality, the longest side length of a triangle is less than the semiperimeter.

s = { p }/{ 2 } = { 24 }/{ 2 } = 12
2. The triangle area - from two legs
T = { ab }/{ 2 } = { 6 * 8 }/{ 2 } = 24
3. Inradius
An incircle of a triangle is a circle which is tangent to each side. An incircle center is called incenter and has a radius named inradius. All triangles have an incenter, and it always lies inside the triangle. The incenter is the intersection of the three angle bisectors. The product of the inradius and semiperimeter (half the perimeter) of a triangle is its area.

T = rs; r = { T }/{ s } = { 24 }/{ 12 } = 2

a = 3

b (short base) = 10

c = 4

d (long base) = 15

A = 53.13010

B = 126.86990

C = 143.13010

D = 36.86990

h = 2.40000

area = 30.00000

diagonal AC = 13.41641

diagonal BD = 12.04159

Here are a couple of screenshots....I doubt it is a formula anyone would want to commit to memory ~

Thank you so much!

Very helpful!

But why do you have to subtract 8 from both?

Cant, you just subtract one 8 and leave the rest alone?

The probability that they are both RED = 10/15 x 9/14=90/210 = 3/7.

The probability that they are both WHITE = 5/15 x 4/14 = 20/210 =2/21.

Then, the probability that both are of the same color =3/7  +  2/21 =11/21

A Venn diagram is a good way to visualize these kind of problems, but if you get more familiar with the concept and how you can manipulate the numbers, it will be way easier than drawing out a Venn diagram. Out of all 100 people, 8 people liked both non fiction and fiction. Then, it tells us three times as many people like fiction over nonfiction. Consider nonfiction to be x.

3x like fiction and x and non fiction. We also have to look at the 8 people who like both. They are included in the people who like fiction and non fiction. In order to get an accurate response... you have to do the subtract the 8 out of the total.

FICTION - 8 + NONFICTION - 8 + 8 = TOTAL

3x - 8 + x - 8 + 8 = 100

4x - 8 = 100

4x = 108

x = 27

Since we said x was non-fiction, 27 people reported liking non-fiction.

(33818^2 + 33819^2 + 33820^2 + 33821^2 + 33822^2) mod 17 = 0

If you add up the remainders of each individual term mod 17 = 51

And 51 mod 17 = 0

Ohhhh...

Thank you, CPhill!

OK  ....call  the distance one way,  D

So....the round trip  =  2D

The time one way  is    D /30

The time back  is   D /60

So.....the average   rate   =     Total Distance                 2D

                                              ____________  =   ____________

                                               Total Time                 D/30 + D/60

If  you simplify this.....you should get  40 mph