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STALIN [3.7K]
3 years ago
8

maricela bought 2 1/3 pounds of bananas , 1 5/12 pounds of apples , and 3 5/6 pounds of mangoes. How many pounds of fruit did sh

e buy?
Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

7 7/12 pounds of fruit

Step-by-step explanation:

First, add all of the whole numbers

2 + 1 + 3= 6 (save for later)

then find a common denominator between the fractions which is 12

1/3 = 4/12

5/6 = 10/12

4/12 + 10/12 + 5/12 = 19/12 or 1 7/12

now, add 1 7/12 + 6 to get you 7 7/12

hope this helps

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siniylev [52]

Answer:

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Step-by-step explanation:

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3 years ago
A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

For V = 27 cm³, the value of h that minimizes paper area is ...

  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

_____

The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

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Interestingly, the ratio of h to r is √2.

8 0
3 years ago
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Crazy boy [7]

Answer:

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30. A

31. C

32. B

33. A

Step-by-step explanation:

6 0
3 years ago
Please help.
Archy [21]

Answer:

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Step-by-step explanation:

When a circle's radius is 1—called a unit circle—its circumference is 2π.

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3 years ago
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Find the product of 275 and 938
kykrilka [37]

Product means "multiply"

Multiply the two numbers

275 x 938 = 257950

257,950 is your answer

hope this helps

7 0
3 years ago
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