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a. Okay. So we have to make a table for the amount of butterflies to total insects. Let's simplify the ratio. 36:100 simplifies to 9:25. We can use that ratio to make this table. Just multiply 25 by the amount it takes to get to 50 or 100, and multiply by the same amount at the top to find the amount of butterflies. If you do it correctly, your table should be as shown below in the image.
b. On that note, let's solve for the amount of butterflies in the conservatory. There are 450 total of them. Let's divide 450 by 100 to find the amount we will multiply by. 450/100 is 4.5. We will mutliply 36 by that amount to find the total amount of butterflies. 36 * 4.5 is 162. That's it. There are 162 butterflies in the conservatory.
A little bit over 13. There are 1.06 quarts in a liter.
Answer:
The volume of the dilated prism is
.
Step-by-step explanation:
The original prism has base area
and a height of
.
The volume of the original prism is
.
The prism is dilated by a scale factor of
.
To find the volume of the dilated prism, we multiply the volume of the original prism by
.


Answer:
because M is the centroid of the triangle
=> PM = 2AM
<=> AM = PM/2 = 10 /2 = 5
=> AM = 5
Notice, you've got a diameter in inches
and a linear velocity in miles
thus, you'd need to convert first

now, whatever that is, you'll need to divide it by a revolution, recall, a revolution is

thus