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jenyasd209 [6]
3 years ago
14

A caterer prepared a large ham that weighed 15 1/8 pounds . After cooking , the chef trimmed the ham and removed the bone , so t

he ham was 1 3/5 pound lighter . How many complete 5/16-pound serving can she provide from this ham?
Mathematics
2 answers:
dedylja [7]3 years ago
5 0

Answer:

<h2>43</h2>

Step-by-step explanation:

Givens

  • Initially, the ham weighed 15 \frac{1}{8}lb, which is equivalent to\frac{121}{8}lb.
  • After cooking and without bone, the ham weighed 1\frac{3}{5} lb less, which is equivalent to \frac{8}{5} lb.

To know the total amount of ham we have to serve, we need to subtract

\frac{121}{8}- \frac{8}{5}=\frac{605-64}{40}=\frac{541}{40}

So, there is 541/40 pounds to serve.

If each serving has 5/16 pounds of the ham, then we need to divide this with the total pounds available, and that would give the total number of servings

\frac{541}{40} \div  \frac{5}{16}=\frac{541}{40} \times \frac{16}{5}=   \frac{8656}{200} \approx 43.28

So, there are 43.28 possible serving. However, we need to round this to the integer because we cannot serve a uncomplete plate.

Therefore, she can provide 43 complete servings with 5/16 pounds of ham.

Harlamova29_29 [7]3 years ago
3 0
Do 15 1/8-1 3/5 so that is 13 21/40, then 13 21/40 divided by 5/16, so the answer is  48, because it is COMPLETE servings 
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EastWind [94]

Answer:

Step-by-step explanation:

1. Area of a parallelogram = base * height

 area = 10 * 4 = 40 in squared

perimeter = 2(a + b)

perimeter = 2 * (5 + 10) = 2 * 15 = 30in

2. Area of triangle = 1/2 * base * height

area = 1/2 * 21 * 8 = 84 cm squared

perimeter = sum of outer perimeters

perimeter= 10cm + 17cm + 21cm = 48cm

3.  area of trapezium = 1/2 * (a+b) * h

 area = 1/2 * (6+12) * 4 = 36ft squared

 perimeter = sum of outer perimeters

 perimeter = 5ft + 6ft + 12ft + 5ft = 28ft

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a box with a square base and open top must have a volume of 70304 c m 3 cm3 . we wish to find the dimensions of the box that min
Dmitriy789 [7]

The box should have base 52 cm by 52 cm and height 26 cm.

What is volume?

A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, other imperial units, or US customary units. Volume definition and length definition are connected.

The Volume of a box with a square base x by x cm and height h cm is

V = x^2h

Since the surface area directly affects the amount of material used, we can reduce the amount of material by reducing the surface area.

The surface area of the box described is  A = x^2 + 4xh

We need A as a function of x alone, so we'll use the fact that

V = x^2h= 70304 cm^3

⇒ h = \frac{70304}{x^2}

So, the area becomes,

A = x^2+4x(\frac{70304}{x^2})\\ A = x^2 + \frac{281216}{x}

We want to minimize A, so

A' = 2x - \frac{281216}{x^2} =0\\\frac{2x^3-281216}{x^2}=0\\ {2x^3-281216} = 0\\x^3 - 140608=0\\x^3 = 140608\\x = 52

The second derivative test verifies that A has a minimum at this critical number:

A'' = 2+\frac{562432}{x^3}  which is positive at x = 52.

Now,

h = \frac{70304}{x^2}= \frac{70304}{(52)^2}=26

Hence, The box should have base 52 cm by 52 cm and height 26 cm.

To know more about volume, click on the link

brainly.com/question/463363

#SPJ4

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