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joja [24]
2 years ago
10

Michael can pack 10 parcels in 3 minutes. Kate can pack 7 parcels in 2 minutes. If they work together, how many parcels can they

pack in 5 minutes?​
Mathematics
1 answer:
Mariulka [41]2 years ago
8 0

Answer:

<u>37.5 parcels </u>in 5 minutes.  Round down to 37, if required for the purpose of the calculation.

Step-by-step explanation:

Let M and K be the rates Michael and Kate can pack parcels, in parcels/minute, or p/m.

M = (10/3)p/m

K = (7/2)p/m

When they work together for 5 minutes, we can calculate the numbers of parcels each pack.

Michael:  ((10/3)p/m)*(5m) = 20 p

Kate:        ((7/2)p/m)*(5m) =  17.5 p

                             Total  =    37.5 parcels

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3 years ago
Find the area of the figure. Round to the nearest hundredth when necessary.
Delvig [45]

Answer:

215.20 ft^2

Step-by-step explanation:

The figure has 2 semi-circles.

First we find the area of each circle using the formula \pi r^{2} because that is the area formula for a circle.

The semi-circle to the left gives the diameter which is 22 feet. The radius would be half the diameter thus r=11 for semi-circle one.

Then we are to find the diameter of the second semi-circle. Given the entire length to be 30 feet, 30-22 leaves us with 8 feet as its diameter thus r=4.

Left: r=11

Right: r=4

Then, plugging both into the formula for area of a circle, we get

Left: 380.1327

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Right: 25.1327

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3 years ago
to the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008.What might have been the exact
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3 years ago
A cylinder has a radius of 5 feet and a height of 8 feet. Which of the following can be used to calculate the volume of a cone t
Lilit [14]
The answer is 1 over 3(3.14)(5²)(8) 

The volume of the cylinder (V1) is:
V1 = π · r² · h                (r - radius, h - height)

The volume of the cone (V2) is:
V2 = 1/3 π · r² · h         (r - radius, h - height)

It is given:
r = 5 feet
h = 8 feet
π = 3.14

Therefore, the volume of the cone is:
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3 years ago
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