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Mashutka [201]
3 years ago
15

I cant figure out 17 :3 and 68 :12 are equivalent

Mathematics
2 answers:
DerKrebs [107]3 years ago
6 0

First of all, the fractions are equivalent:

\dfrac{17}{3} = \dfrac{17\cdot 4}{3\cdot 4} = \dfrac{68}{12}

As for the second part, we have

\dfrac{3 \text{ slices}}{2\text{ minutes}}=\dfrac{3\cdot 5 \text{ slices}}{2\cdot 5\text{ minutes}} = \dfrac{15 \text{ slices}}{10\text{ minutes}}

sleet_krkn [62]3 years ago
5 0

Answer:

17:3 is 68:12 simplified

15 slices will be eaten in 10 minutes

Step-by-step explanation:

first off 17:3 is 68:12 simplified (both 68 and 12 go into 4 resulting in 17 and 3)

you have to divide 10 by 2 which will give you 5

and then multiply by 3

to get 15

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The question is in the picture.
dangina [55]
<h2><u>Part A:</u></h2>

Let's denote no of seats in first row with r1 , second row with r2.....and so on.

r1=5

Since next row will have 10 additional row each time when we move to next row,

So,

r2=5+10=15

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<u>Using the terms r1,r2 and r3 , we can find explicit formula</u>

r1=5=5+0=5+0×10=5+(1-1)×10

r2=15=5+10=5+(2-1)×10

r3=25=5+20=5+(3-1)×10

<u>So for nth row,</u>

rn=5+(n-1)×10

Since 5=r1 and 10=common difference (d)

rn=r1+(n-1)d

Since 'a' is a convention term for 1st term,

<h3><u>⇒</u><u>rn=a+(n-1)d</u></h3>

which is an explicit formula to find no of seats in any given row.

<h2><u>Part B:</u></h2>

Using above explicit formula, we can calculate no of seats in 7th row,

r7=5+(7-1)×10

r7=5+(7-1)×10 =5+6×10

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which is the no of seats in 7th row.

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If two numbers round to the same number it doesnt always mean they are equal, for example: 11 and 9 both round to ten but they are not the same number
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