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Aleonysh [2.5K]
2 years ago
6

A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the caterer ch

arges a certain amount for each guest. If it costs $300 to serve 25 guests and $420 to serve 40 guests, find the cost per guest. Write a system of equations for the situation and solve using inverse matrices.
Mathematics
1 answer:
Rus_ich [418]2 years ago
5 0
A caterer's total cost for catering a party includes a fixed cost, which is the same for every party. In addition the caterer charges a certain amount for each guest. If it costs $300 to serve 25 guests and $420 to serve 40 guests, find the cost per guest. Write a system of equations for the situation and solve using inverse matrices.
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Which of the following is written as a rational function?
Brrunno [24]

We have to identify the rational function among the given functions.

Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.

1. Consider the first function G(x)= -2x, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

2. Consider the second function P(x)= 3x+4, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

3. Consider the third function Q(x)= x^2-8x+1, since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

4. Consider the fourth function F(x)= \frac{x+2}{5x}, since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.

So, Option D is the correct answer.

6 0
2 years ago
Read 2 more answers
Help please!!!!!!!!!
Triss [41]
The answer is -4, hope this helped
8 0
3 years ago
Colin invests £1500 into a savings account. The bank gives 4% compound interest for the first 3 years and 5% thereafter. How muc
fomenos

1500(1+0.04)^3 = 1687.30

1687.30(1+0.05) = 1771.67 to the nearest pound: 1772

6 0
2 years ago
The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter I
Anarel [89]
So for the perimeter, there will be 2 of each side. 3(2)+6(2)= 18.
The perimeter is 18 feet.
4 0
3 years ago
What is the volume of this sphere?
Darina [25.2K]

Answer:

523.59 or 523.60

Step-by-step explanation:

Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)

(r is radius, V is volume)

V= 4/3 x π x r^3

The diameter is 10, so the radius is 5...

V= 4/3 x π x 5^3

V= 4/3 x π x 125

CALCULATER: 4 ÷ 3 x π x 125

Answer 523.59  (523.60 rounded)

6 0
3 years ago
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