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Whoa there, ND...your first answer...... 72/7....... is correct

But this isn't equal to 7 + 2/7  which = 51/7

72/7 is actually   =  10 + 2/7

Be careful, here......

I'm going to fill in the blank, here. I'm assuming you want to know how many pennies you have.

The remaining coins =  215 - 89  = 126

And 2/3 of 126 = 84 pennies.

If this isn't what you wanted.....accept my apologies......

NinjaDevo's method is correct  !!!

Three letters are selected at random from the word "distance" find the probability of three vowels P(3 vowels).

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I see this one a little differently......we are counting all the sets that are possible when choosing any three things from eight =  C(8,3) = 56

Only one of these sets contain all three vowels in the word "distance."

So we have......... 1/56

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Can someone look at my answer and tell me if I'm correct, or not??

We want the wheel to come up "yellow" 7 out of 10 times....so we have  C(10,7)

And the number of possible outcomes is just  3^10

So we have  C(10,7) / 3^10  ≈ .002   ≈ 2/1000   ≈ 1/500

64.206...4.1 x 5.8 x 2.7

A dice is rolled three times what is the probability of getting three 5's?  P(three 5's) 1/216 (1/6*1/6*1/6)

p(all men) = 7/12*6/11*5/10*4/9 = 7/99

 P(all women) = 5/12*4/11*3/10*2/9 = 1/99

From the four aces, we want to choose any one of them = C(4,1)

Then, we want to choose any card from the other 12 ranks   = 12*C(4,1)

And the total number of possible "hands" is just C(52,2)

So we have

C(4,1) * 12C(4,1) / C(52,2)  ≈  .217  ≈ 21.7%

That's not a question.

Divide both sides by 78 giving

x=0.385

I believe you would solve it with the second option you said: 4*3²

So you would do 3*3 first, then multiply the product by 4.

This might also depend on how 4x² is used, but I'm pretty sure that most of the time you would do it as I explained.

I belive it is spelt diabetes :)

This could mean a couple different things.

This could mean

Simplify: (9*8y*3)1/2                --- * means times

...or

Simplify: ((9x)*(8y)*(3))1/2

I'm thinking you meant the first one: (9*8y*3)1/2

(9*8y*3)1/2           

(72y*3)1/2

(216y)1/2

108y

So 108y would be the simplified version.

This seems like a compound interest formula! :D

Anyway, just follow the equation through with the order of operations.

5000(1 + 0.06/2)^(2*5)

5000(1+.03)^10

5000(1.03)^10

5000(1.3439163793441219)

6719.5815

round down

6719.58

9 Is really the same as 9/1, so our new equation is 

9/1 ÷ 7/8

9/1 * 8/7           ---To divide fractions, multiply by the recprical. In other words, flip-flop the second fraction.

72/7

or

7 and 2/7

^Really is 10 and 2/7, not 7 and 2/7

$${\frac{{\mathtt{1}}}{{\mathtt{3}}}} = {\mathtt{0.333\: \!33}}$$

Actually, the decimal wil just keep going to forever with 3's.

Thus, you could write the decimal as .333 with  a line over the 3's, meaning it well just keep going on and on and on.

$${\frac{{\mathtt{1}}}{{\mathtt{3}}}} = {\mathtt{0.333\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

The 3's go on forever.

I think the question is: What is 1000lb in tons?  This is followed by a list of possible answers.

In fact 1000lb = 1/2 ton (1/2 is one of the possible values appearing in the list).

8b + 9 =< 25

8b =< 16

b =< 2

Our compounded-interest formula is

A = P(1+r/n)^nt 

Where:

A = amount of money accumulated after n years, including interest.

P = principal amount (the initial amount you borrow or deposit)

r  = annual rate of interest (as a decimal)

n  =  number of times the interest is compounded per year 

t  = number of years the amount is deposited or borrowed for.

Let's put these numbers into our formula to find how much money we'll have after 10 years!

A = P(1+r/n)^nt 

A = 1000(1+(.06)/(4))^(4)(10)      ----The interest is compounded quarterly, so 4 times a year (n=4)

A =  1000(1+.015)⁴⁰

A = 1000(1.015)⁴⁰

A = 1000(1.8140184086689515)

A = 1814.0184086689515

Round up

A = 1814.02

After 10 years, you will have $1814.02!

Diabeetus?

DIABEETUS!!!!!!

-10x-7 < 13 

      +7      +7        ---Add 7 to both sides

-10x < 20

-(-10x < 20)          --Times everything by a minus. This switches the < sign to a > sign though.

10x > -20

÷10   ÷10               ---Divide both sides by 10.

x > -2

This is saying that x could equal anything above -2.

Let's test it by putting in a number that is larger than -2 for x. I'll use 6.

-10(6)-7<13

-60-7 < 10

-67 < 10  ✔

At first glance, -67 might look bigger than 10, but we have to remember the negative sign before the 67.  

So -67 is smaller than 10, and it works.

x>−2 

Maybe....DIABEETUS..but no you need more then that.