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MAVERICK [17]
3 years ago
7

What mixed number is equivalent to 16/3

Mathematics
2 answers:
Agata [3.3K]3 years ago
8 0
Mixed number equal to 16/3 you divide 3 into 16 which is 51/3
DerKrebs [107]3 years ago
3 0
Alright then!

First off, is your picture REALLY necessary? Whatever haha

A mixed number is just a simplified fraction really.

16/3 = 5 1/3

Hope it helps!
Can you give me brainliest as well please? Thanks ~Samuel
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6, 1, -4, -9,...
kykrilka [37]
Texaschic nailed it when saying that it's arithmetic

The recursive way to write this is to say

a_1 = 6
a_n = a_{n-1} - 5

which tells us "start at 6 and each time subtract off 5"

The a_n portion is the nth term while a_{n-1} is the term just before the nth term
3 0
3 years ago
The intercepts of the equation x^2 + 4y^2 = 16 are ___<br> PLEASE HELP
Eva8 [605]
Yintercepts are where x=0
set to zero to solve

0^2+4y^2=16
4y^2=16
divide 4
y^2=4
sqrt both sides
y=+/-2

xintercept is where y=0

x^2+4(0)^2=16
x^2+0=16
x^2=16
sdqrtboth sides
x=+/-4

yintercepts are (0,2) and (0,-2)
xintercepts are (4,0) and (-4,0)
3 0
3 years ago
Divide 1/2 and 3/4 and it can not be a mixed number.
mamaluj [8]

Answer:

Many options - 4/6 or 2/3 or 0.66

Step-by-step explanation:

When dividing fractions, we use KCF (keep, change, flip) so our new equation is 1/2 x 4/3. Just multiply! Your answer should be 4/6, and if it needs to be simplified, the answer is 2/3. The answer as a decimal is 0.66 !

4 0
2 years ago
Read 2 more answers
Does anyone know how to simplify this expression? I know it has to do with properties of summation and special summation rules b
dusya [7]
<h3>Answer:     -n/(n+1)</h3>

============================================================

Explanation:

Let's expand this out up to say n = 6 terms

I'll write the summation in such a way that each (1/(k+1) - 1/k) grouping will get its own row. Each row has the same value of k.

If we plug in k = 1 through k = 6, but not evaluate just yet, we will have this:

1/(1+1) - 1/1

1/(2+1) - 1/2

1/(3+1) - 1/3

1/(4+1) - 1/4

1/(5+1) - 1/5

1/(6+1) - 1/6

All I've done so far is replace k with 1 through 6. Again, each row represents a different k value. Each row has the general format 1/(k+1)-1/k.

Let's simplify everything in the first column.

So the (1+1) turns into 2, the (2+1) turns into 3, and so on.

Doing that leads to...

1/2 - 1/1

1/3 - 1/2

1/4 - 1/3

1/5 - 1/4

1/6 - 1/5

1/7 - 1/6

Then note how we have the cancellations shown in the diagram below. The color coding shows how the terms pair up to cancel out. By "cancel out", I mean specifically that the fractions add up to 0. Eg: 1/2 + (-1/2) = 0.

Nearly everything cancels out. The only things left after the dust settles is the -1/1 in the first row and the 1/7 in the bottom row. This evaluates to 1/7-1/1 = 1/7 - 7/7 = (1-7)/1 = -6/7

If you were to try this with n = 7, then you should find that again nearly everything cancels but the fractions -1/1 and 1/8. Then 1/8 - 1/1 = -7/8.

For n = 8, you should end up with 1/9 - 1/1 = -8/9.

You can probably see the pattern.

A conjecture is that the answer is -n/(n+1). The general proof of this isn't too tricky. Simply follow the same ideas as mentioned above. Expand out a few terms and see how things cancel out. You'll find that everything cancels except for the -1/1 in the first row and the 1/(n+1) just one term before the very end. Then we can say:

1/(n+1) - 1/1

1/(n+1) - (n+1)/(n+1)

(1-(n+1))/(n+1)

(1-n-1)/(n+1)

-n/(n+1)

If we tried n = 6, then we find,

-n/(n+1) = -6/(6+1) = -6/7

which was the result we found earlier when we added the first n = 6 terms of this series. Trying out n = 7 should lead to -n/(n+1) = -7/8, and so on.

3 0
2 years ago
it is given that ln(y+1) - ln(y) = 1+3ln(x) . express y in terms of x in a form not involving logarithms
Rina8888 [55]

ln( \frac{y + 1}{y} )  =  ln( {x}^{3} e)  \\  \frac{y + 1}{y}  =  {x}^{3} e
4 0
3 years ago
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