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goldfiish [28.3K]
2 years ago
12

The fraction mode below shows the steps a student performed to find a quotient. Which statement best interprets the quotient

Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer: i belive its C

Step-by-step explanation: May i have brainiest

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What is <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{5} " alt=" \frac{3}
Ilia_Sergeevich [38]

Answer:

9

Step-by-step explanation:

3/5 * 15

Rewriting as

3 * 15/5

3 * 3

9

3 0
3 years ago
Read 2 more answers
The sequence$$1,2,1,2,2,1,2,2,2,1,2,2,2,2,1,2,2,2,2,2,1,2,\dots$$consists of $1$'s separated by blocks of $2$'s with $n$ $2$'s i
kicyunya [14]

Consider the lengths of consecutive 1-2 blocks.

block 1 - 1, 2 - length 2

block 2 - 1, 2, 2 - length 3

block 3 - 1, 2, 2, 2 - length 4

block 4 - 1, 2, 2, 2, 2 - length 5

and so on.


Recall the formula for the sum of consecutive positive integers,

\displaystyle \sum_{i=1}^j i = 1 + 2 + 3 + \cdots + j = \frac{j(j+1)}2 \implies \sum_{i=2}^j = \frac{j(j+1) - 2}2

Now,

1234 = \dfrac{j(j+1)-2}2 \implies 2470 = j(j+1) \implies j\approx49.2016

which means that the 1234th term in the sequence occurs somewhere about 1/5 of the way through the 49th 1-2 block.

In the first 48 blocks, the sequence contains 48 copies of 1 and 1 + 2 + 3 + ... + 47 copies of 2, hence they make up a total of

\displaystyle \sum_{i=1}^48 1 + \sum_{i=1}^{48} i = 48+\frac{48(48+1)}2 = 1224

numbers, and their sum is

\displaystyle \sum_{i=1}^{48} 1 + \sum_{i=1}^{48} 2i = 48 + 48(48+1) = 48\times50 = 2400

This leaves us with the contribution of the first 10 terms in the 49th block, which consist of one 1 and nine 2s with a sum of 1+9\times2=19.

So, the sum of the first 1234 terms in the sequence is 2419.

8 0
2 years ago
Manuel pays $ 500 per year fees to his homeowner's association. Next year, the association is increasing its fee by 5%
tigry1 [53]

Answer:

525

5 percent of 500 is 25

25 + 500=525

5 0
3 years ago
The distance from the center of a carousel to the
anzhelika [568]

Answer:

\fbox{\begin{minipage}{3.5em}338 (ft)\end{minipage}}

Step-by-step explanation:

The problem could be simplified as following:

Given:

The radius of a circle O is 26 feet.

Solve for:

The length of arc on circle O that measures 13 radians

Solution:

Step 1: Let's find out the correct formula to apply:

The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:

L = r*x

Step 2: Let's put the data into formula to work out the length L of arc:

L = 26*13 = 338 (ft)

=>  The distance that a horse does on the outer edge travel  when the carousel rotates through 13 radians: L = 338 (ft)

Hope this helps!

:)

7 0
3 years ago
Abi and Ali shared £35 in the ratio 1 : 6.<br> Work out how much Ali received.
baherus [9]

Answer:

£30

Step-by-step explanation:

To tackle these 'sharing' ratios problems, first find the total amount parts in the ratio.

1 : 6 = 1 + 6 = 7 parts

Now divide the total amount of parts by the total amount of money shared

35 / 7 = 5

Now multiply the answer by the value that is appropriate.

In this case, they want you to work out how much Ali recieved.

Ali's value is 6

6 × 5 = £30

hope this helps :)

4 0
3 years ago
Read 2 more answers
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