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PSYCHO15rus [73]
3 years ago
6

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.

Mathematics
2 answers:
Reil [10]3 years ago
8 0

Answer:

112 meat balls are required for a party of 25 adults and 6 children.

Step-by-step explanation:

As per the statement:

Frank has devised a formula for his catering business that calculates the number of meatballs he needs to prepare.

The formula is given by:

m = 4a+2c

where;

c= number of children;

m= number of meatballs;

a= number of adults.

We have to find  how many meat balls are required for a party of 25 adults and 6 children.

⇒a = 25  and c = 6

then;

m = 4(25)+2(6) = 100+12 = 112

Therefore, 112 meat balls are required for a party of 25 adults and 6 children.

dexar [7]3 years ago
6 0
As it is required for <span>25 adults and 6 children.
</span>Putting the value of a with 25 and c with 5, then solve for m. 

<span>m = 4(25) + 2(5) </span>
<span>m = 100 + 10 </span>
m = 110 meatballs are required.
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517 37/50 + 312 3/100
german

Answer:

Exact form: 32977/100

Decimal form: 829.77

Mixed number form: 829 77/100

Step-by-step explanation:

4 0
3 years ago
A chef uses 12 pounds of butter each day. About how many grams of butter does the chef use each day? Use the conversion factors
Westkost [7]

Answer:

The chef uses 5452.8 grams of butter each day.

Step-by-step explanation:

Given:

Chef use 12 pounds of butter each day.

To find the amount of butter in grams used by chef each day.

Conversion units:

1 pound = 16 ounces

1 ounce = 28.4 grams

Solution:

We need to convert 12 pounds of butter in grams of butter.

We will apply unitary method to carry out the conversion.

If 1 pound  =  16 ounces

Then, 12 pounds = 12\ pounds\times\frac{16\ ounces}{1\ pound}= 192\ ounces

If 1 ounce = 28.4 grams

Then, 192 ounces = 192\ ounces \times \frac{28.4\ grams}{1\ ounce} = 5452.8\ grams

Thus, the chef uses 5452.8 grams of butter each day.

3 0
3 years ago
Help please will mark brainliest!
Nat2105 [25]

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

5 0
3 years ago
Choose the expression that completes the equation. 33 ÷ 3 + 10 =______
otez555 [7]
33 divided by 3 is 11 plus 10 is 21 so your answer is 21:)
5 0
3 years ago
Steve built a square dog pen that has a perimeter of 240 inches. What is the length of one side of Steve's dog pen?
Vesnalui [34]
Perimeter of a square=4 x side
Data:
Perimeter=240 in

Then:
240 in=4* side
side=240 in/4
side=60 in.

answer: The lenght of one side of Steve´s dog pen is 60 in.
6 0
3 years ago
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