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Svetllana [295]
3 years ago
12

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

Mathematics
1 answer:
timofeeve [1]3 years ago
8 0
Just plug in the numbers into the equation.

m = 4a + 2c

a = adults
c = children
m = meatballs

The information given says there are 25 adults and 5 children. So now:

a = 25
and
c = 5
in the equation m = 4a + 2c


Now plug in the values. 
m = 4(25) + 2(5)
m = 100 + 10
m = 110

This means that 110 meatballs are required for 25 adults and 5 children. 
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LenKa [72]
The answer is c I hope this helps
4 0
3 years ago
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Nicole's Bikes rents bikes for $17 plus $3 per hour. Ndiba paid $41 to rent a bike. For how many hours did he rent the bike?​
NemiM [27]

Answer:

Ndiba rented the bike for 8 hours

Step-by-step explanation:

41 - 17 = 24

24 ÷ 3 = 8

7 0
2 years ago
Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,
Stolb23 [73]

I am going to assume that the equation was supposed to be  9y^{5}-10y^{3}

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so 9y^{5}-10y^{3} will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

8 0
3 years ago
A company has two packaging machines in a unit, each with a different daily capacity. The capacity of machine 1 is defined by th
ollegr [7]

Total capacity = sum of the individual production capacities.

Here,

Total capacity = sum of f(m) = (m + 4)^2 + 100  and g(m) = (m + 12)^2 − 50.

Then f(m) + g(m) =  (m + 4)^2 + 100 + (m + 12)^2 − 50.

We must expand the binomial squares in order to combine like terms:

 m^2 + 8 m + 16 + 100

+m^2 + 24m + 144 - 50

---------------------------------

Then f(m) + g(m) = 2m^2 + 32m + 160 + 50  

      f(m) + g(m)   = 2m^2 + 32m + 210, where m is the number of

                                minutes during which the two machines operate.

6 0
3 years ago
What is the answer to this question? Write an expression in simplest form for the perimeter of a right triangle with leg lengths
blagie [28]

Answer:

Step-by-step explanation:

Since the length of both legs of the right angle triangle are given, we would determine the hypotenuse, h by applying Pythagoras theorem which is expressed as

Hypotenuse² = one leg² + other leg²

Therefore,

h² = (3a)³ + (4a)³

h² = 27a³ + 64a³

h² = 91a³

Taking square root of both sides,

h = √91a³

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

a, b and c are the side length of the triangle. Therefore, the expression for the perimeter of the right angle triangle is

√91a³ + (3a)³ + (4a)³

= √91a³ + 91a³

7 0
2 years ago
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