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Lisa [10]
3 years ago
13

There are fifteen pansies and 18 tulips in a garden. If five more pansies are added, how many tulips should be added to keep the

same ratio of pansies to tulips?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0

Answer:

6 tulips

Step-by-step explanation:

First, we have to simply the ratio. The ratio for pansies to tulips would be 15:18, then simplifying it would make it 5:6 because the common factor is 3. 15 divided by 3 is 5 and 18 divided by 3 is 6. If you add 5 more pansies, it would equal 20 in total. Add 6 tulips because 6 plus 18 is 24. 20 divided by 4 is 5 and 24 divided by 4 is 6. That gives us a ratio of 5:6, which is the same from before. Therefore, you should add 6 tulips if 5 more pansies were added.

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For the case of a line through

(

2

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7

)

and

(

1

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−

4

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we have

slope

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1

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2

=

−

11

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Using the point

(

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)

we can write the equation of the line in point slope form as:

y

−

7

=

m

(

x

−

2

)

where the slope

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.

That is:

y

−

7

=

11

(

x

−

2

)

To get point intercept form, first expand the right hand side so...

y

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7

=

11

x

−

(

11

⋅

2

)

=

11

x

−

22

Then add

7

to both sides to get:

y

=

11

x

−

15

=

11

x

+

(

−

15

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This is point intercept (

y

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b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

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Answer:

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