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Anna [14]
3 years ago
8

A few students conducted a study on how many peanuts it would take to completely fill a jar. They had the following data to help

them with the study: In a container with a volume of 108 they could fit 65 peanuts. In a container with a volume of 150 they could fit 90 peanuts. The height of the jar for the peanuts is 16 cm and the radius is 3.5 cm. What number would be a good estimate for the number of peanuts in a jar this size?
Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0

Answer:

370 peanuts

Step-by-step explanation:

65/108 = 0.60185

90/150 = 0.6000

In each case, the number of peanuts is either exactly or very close to 60% of the volume.

A cylinder with radius 3.5 cm and height 16 cm has volume:

V = (pi)r^2h

V = (3.14159)(3.5 cm)^2(16 cm)

V = 615.752 cm^3

We take 60% of the volume to estimate the number of peanuts.

60% * 615.752 cm^3 = 369.451

Answer: 370 peanuts

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Mary drove at a constant speed of 60 miles per hour. How far would she travel if she drove for 4 hours?
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4x60=240 Answer is 240

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240

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Don,Eric, and Finn line up in random order for the cafeteria line. What is the probability that they will line up from front to
Vanyuwa [196]

Answer:

  1/6

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
The area of a field shaped like a right triangle is 750yd^2.One leg of the field is fenced with wood costing $5/yd. the remainde
Elenna [48]
Assume that
 a and b = the two legs of the right triangle. 
 c =  the hypotenuse.

The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500               (1)

The perimeter is 150yd, therefore
a + b + c = 150         (2)

Let the side fenced with wood be a, at $5/yd.  Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
 5a + 10b + 10c = 1200            
or
a + 2b + 2c = 240         (3)

From (2), obtain 
c = 150 - a - b              (4)

Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60

From (1), obtain
60b = 1500
b = 25

From (4), obtain
c = 150 - 60 - 25 = 65

Answer:
A. The length of the leg fenced with wood is 60 yd.
B.  The length of the leg fenced with steel is 25 yd.


5 0
3 years ago
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