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3 years ago

What is 2/3 times 9/5

Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

7 0

2/3 x 9/5 is 1.2 Hope it helps (:

Varvara68 [4.7K]3 years ago

5 0

The answer would be1.2

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the sum of any n consecutive integers is always equal to 100 less than the sum of the next n consecutive integers. Find n.

Salsk061 [2.6K]

When we have a given number k, the consecutive number to k will be (k + 1), the next consecutive will be (k + 2), and so on.

With this, we can find that the value of n is 100.

So here we have n consecutive numbers, let's assume we start with the number k, then the sum will be:

k + (k + 1) + ... + (k + n - 1)

Now we know that this is 100 less than the sum of the next n consecutive numbers.

For the next n consecutive numbers we need to start at k + 1, then we get:

(k + 1) + (k + 2) + ... + (k + n - 1) + (k + n)

If we take the difference we will get:

((k + 1) + (k + 2) + ... + (k + n - 1) + (k + n)) - (k + (k + 1) + ... + (k + n - 1)) = 100

As you can see, there are a lot of terms that are in both parentheses, then when we do that difference a lot of them cancel out.

So we will et:

((k + 1) + (k + 2) + ... + (k + n - 1) + (k + n)) - (k + (k + 1) + ... + (k + n - 1))

= (k + n) - k = k + n - k = n

And we knew that this difference must be equal to 100, then we have:

n = 100

We just found the value of n.

If you want to learn more, you can read:

brainly.com/question/1767889

3 0

3 years ago

In the Reflecting Ball Game a ball can be launched from points 1, 2, 3, 4, 5 or 6 in the direction shown. When a ball hits a sid

natulia [17]

Answer:

$24\sqrt{2}$

Step-by-step explanation:

We can measure the number of diagonals each path takes:

From point 1, the path travels 6 diagonals, ending up at point D.

From point 2, the path travels 12 diagonals, ending back at point A.*

From point 3, the path travels 3 diagonals, ending at point B.

From point 4, the path travels 9 diagonals, ending at point C.

From point 6, the path travels 10 diagonals, ending at point D.

Since your question mentions each are 2 cm by 2 cm, this is equivalent to $2\sqrt{2}$ .

We can easily conclude that the maximum is 12 diagonals. Thus, Solving our equation gives: 12 * $2\sqrt{2}$ = $24\sqrt{2}$ as our final answer.

*Note: This path will pass through point five, that is, following the diagram you described. If this is true, then there is no need to solve the longest possible path for point 5.

5 0

3 years ago

What is the slope of the line that passes through the points (-9,10) and (21,15)

Nata [24]

15- 10 divided by 21- -9 should give you your slope

5 0

3 years ago

Read 2 more answers

what is the average when you add 122.99%, 108.46% and 102.65%? I don't know how to add percentages.

Luba_88 [7]

Answer:

111.33667

Step-by-step explanation:

You add percentages just like you would any other number.

122.9% + 108.46% + 102.65% = 334.01%

334.01%/3 = 111.33667

8 0

3 years ago

What is the value of m that makes the equation true? 18m- 2+ 7m- 8= -60

sergij07 [2.7K]

Answer:

m = -2

Step-by-step explanation:

First, let's move all variables to one side of the equation. (Don't forget to change the signs when you move the numbers to the other side.)

18m + 7m = -60 + 2 + 8

Now we simplify to get this:

25m = -50

Now we divide -50 by 25 which gets us -2.

Therefore, m = -2

Hope this helps!

3 0

4 years ago