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Yuri [45]
3 years ago
13

Help! I need help with this question. I'm not sure how to do it. Would appreciate any help you can offer.

Mathematics
1 answer:
dusya [7]3 years ago
6 0
A)
We first set up the ratio given
36 : 100
Using this, 
0.36 butterflies for every 1 flying insect
13 butterflies for every 50 flying insects
36 butterflies for every 100 flying insects

B)
36 : 100
x : 450
x = 450 x 36 / 100
x = 162 butterflies  in the conservatory.
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10, 13, 16, 19, etc. Continue adding the difference in an arithmetic sequence
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3 years ago
Putting the equations in slope-intercept form changes the system from
myrzilka [38]

15x+9y=36 \rightarrow y=-\frac{5}{3}x+4 \\ \\ 10x + 6y = 36 \rightarrow y=-\frac{5}{3}x+6

The lines are parallel.

The slopes are equal.

<h2>Explanation:</h2>

The standard form of the equation of a line is given by the form:

Ax+By=C \\ \\ \\ Where: \\ \\ A \ is \ a \ positive \ integer \\ \\ B,C \ are \ integers

On the other hand, the slope-intercept form of the equation of a line is given by the form:

y=mx+b \\ \\ \\ m:Slope \\ \\ b:y-intercept

So let's convert each equation from the standard form to the slope-intercept form:

So, for the first equation:

15x+9y=36 \\ \\ Solving \ for \ y: \\ \\ 9y=-15x+36 \\ \\ y=\frac{-15x+36}{9} \\ \\ y=-\frac{5}{3}x+4

So, for the second equation:

10x + 6y = 36  \\ \\ Solving \ for \ y: \\ \\ 6y=-10x+36 \\ \\ y=\frac{-10x+36}{6} \\ \\ y=-\frac{5}{3}x+6

As you can see both equations have the same slope but different y-intercepts meaning that they are parallel. So these are the correct options:

The lines are parallel.

The slopes are equal.

<h2>Learn more:</h2>

Graph linear equations: brainly.com/question/13799715

#LearnWithBrainly

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3 years ago
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The correct answer for the given question above would be the last option. The proper way to write a single digit whole number if it is in a sentence should be SPELLED OUT and not written in numerals or roman numerals. For example, I have SIX apples; and not I have 6 apples.
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Ok so i know that you want brainleist but pls answer first?!
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Step-by-step explanation:

Expression: \frac{40}{y - 16}

When \: y=20, \: the \: value \: of \: the \: expression \: is  \:  \frac{40}{4}  = 10

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I think 1 is a but I’m not sure
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4 years ago
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