Answer:
The butterfly travels 660 ft in 1.25 min.
Step-by-step explanation:
If the distance, d, a butterfly flies varies directly as the time,t in the air, then we can write the mathematical statement.

If we introduce the constant of proportionality, we obtain;

According to the question, when
,
.
We substitute these values to obtain;



The direct variation equation now becomes

When 


Therefore the butterfly will travel 660 ft in 1.25 min.
The solution is given below:
<h3>What is price index?</h3>
An index number expressing the level of a group of commodity prices relative to the level of the prices of the same commodities during an arbitrarily chosen base period and used to indicate changes in the level of prices from one period to another.
Given:
Comm. p0 q0 p1 q1 p0q0 p1q0 p1q1 p0q1
A 25 750 30 960 18750 750 28800 24000
B 30 450 25 550 13500 750 13750 16500
C 5 250 6 360 1250 30 2160 1800
D 6 90 7 210 540 42 1470 1260
E 10 140 10 190 1400 100 1900 1900
F 4 48 5 65 192 240 365 260
Now,
p0q0 = 35632
p1q0 = 1912
p1q1 = 48445
p0q1= 45720
1) P01(L) =
p1q0/
p0q0 * 100
= 5.36
2) P01(L) =
p1q1/
p0q1 * 100
= 105.96
Dorbish- Bowley
= 5.36+ 105.96/2
=55.66
Marshall- Edgeworth
= 1912+ 48445/35632 + 45720
= 50357/ 81352
= 0.619 *100= 61.9
Fisher's price index
=( 5.36 * 105.96 )^ 0.5
=23.831
Learn more about price index here:
brainly.com/question/14184515
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Answer:

Step-by-step explanation:
The given product is:

We expand using the distributive property to get;

Simplify:


Answer:
27
Step-by-step explanation:
36*(3/4)
I just put that in a calculator so
Remember your prefixes! They help a lot, because there is a formula for this particular problem. Nonagon refers to a shape with 9 sides.
The number of triangles a polygon has is represented by the formula:
(n-2)
Where "n" is the number of sides. If you ever forget what you subtract "n" by think of a triangle. It has 3 sides, so it is only logical that you should only have 1 triangle (subtract by 2). So, what is the sum of the interior angles of a triangle, 180°. So the formula looks like this:
Sum of Interior Angles = 180°(n-2)
180°(9-2)
180°(7) = 1260° is the sum of interior angles for a nonagon!