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kow [346]
2 years ago
15

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

el in 24 hours if it continues to fly at the same speed? (look at the image below)
The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.

Mathematics
2 answers:
ivann1987 [24]2 years ago
8 0

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20

Therefore, the equation is y=20x, which shows a direct proportion between variables.

Now, in 24 hours, it would travel

y=20(24)=480

It would travel 480 miles.

Therefore, the right answer is the second choice.

vova2212 [387]2 years ago
6 0
40/2 = 20
so 
y = 20x

y = distance (miles) and x = time (hours)
so if x = 24 then y = 20x = 20(24) = 480

answer
<span>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles. </span>
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Find the angle x in this triangle
Romashka-Z-Leto [24]

Answer:

x = 36

Step-by-step explanation:

<em>A triangle has 180°</em>.

That <em>third angle is 360 - 8x</em>.

So the equation is: <em>180 = 2x + x + 360 - 8x</em>.

Simplify: 180 = -5x + 360

Add/Subtract: 5x = 180

Divide: x = 36.

7 0
3 years ago
The total number of cats and dogs at the shelteris 125. there are 5 more cats than dogs
juin [17]
If you're looking for the number of dogs (I'm assuming, you didn't specify), all you'd have to do is divide the number by two, then round down to find the number of dogs, then check your answer by adding that number and that number plus 5.

For example, yours would look like 125/6=62.5, and rounding down to 60.

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There are 60 dogs inside the kennel.
5 0
3 years ago
Which system of equations can be used to find the roots of the equation 12 x 3-5x=2 x 2+x+6
kirill [66]

Answer:

Option (a) is correct.

The system of equation becomes

y=12x^3-5x\\\\ y=2x^2+x+6

Step-by-step explanation:

Given : Equation  12x^3-5x=2x^2+x+6

We have to construct a  system of equations that  can be used to find the roots of the equation 12x^3-5x=2x^2+x+6

Consider the given equation 12x^3-5x=2x^2+x+6

To construct a system of equation put both sides of the given equation equal to a same variable.

Let the variable be "y", Then the equation 12x^3-5x=2x^2+x+6

becomes,

12x^3-5x=y=2x^2+x+6

Thus, The system of equation becomes

y=12x^3-5x\\\\ y=2x^2+x+6

Option (a) is correct.

   

8 0
3 years ago
Read 2 more answers
A bike shop has 11 1111 red bikes, 3 33 blue bikes, 4 44 orange bikes, and 12 1212 silver bikes. For every 1 11 orange bike, the
zubka84 [21]

Answer:

C. Silver bikes

Step-by-step explanation:

Given that:

Number of red bikes at the bike shop = 11

Number of blue bikes at the bike shop = 3

Number of orange bikes at the bike shop = 4

Number of silver bikes at the bike shop = 12

Let us find the ratio of each bike with orange bikes to find the answer.

Orange bikes: Red bikes = 4 : 11

i.e. for every 4 orange bikes, there are 11 red bikes.

Orange bikes: Blue bikes = 4 : 3

i.e. for every 4 orange bikes, there are 3 blue bikes.

Orange bikes: Silver bikes = 4 : 12 = 1 : 3

<em>i.e. for every 1 orange bike, there are 3 silver bikes.</em>

<em></em>

Therefore, the answer is:

<em>C Silver bikes</em>

5 0
3 years ago
In problems 16-20, calculate the expected price in the year 2008 if you assume that there was a consistent 5% inflation rate and
Lena [83]
16. 72236.03 
17. <span>2.87 
</span>18. 2.36
19. 9.29
20. 1.65
The exponential growth formula is as follows
y=a(1+r)^{x}:
a is initial value
(<span>$27,225 17. gallon of gas, $1.08 18. dozen eggs, $0.89 19. movie admission, $3.50 20. mcdonalds hamburger, $0.62)
r is rate of increase (0.05)
x is time (2008-1988 = 20 years)
to solve plug in values for each one.
</span>y=27225(1+0.05)^{20} = 72236.03

1.08(1+0.05)^{20} = 2.87

.89(1+0.05)^{20} = 2.36

3.50(1+0.05)^{20} = 9.29

.62(1+0.05)^{20} = 1.65



<span>

</span>
5 0
3 years ago
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