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Nostrana [21]
3 years ago
7

The Golden Age Club is trying to book a location for their annual retirement dinner. The Blue Room restaurant quoted a price of

$ 380 for the room and $20 per person for the dinner while the Wagon Wheel restaurant quoted a price of $30 per person. a. Write an equation that models each booking. b. How many people would have to attend so that the Blue Room is the better choice? so that the Wagon Wheel is the better choice?
CAN SOMEBODY HELP IM STUCK
POINTS +BRAINLIST ANSWER
FOR ACCURATE ANSWERS
Mathematics
1 answer:
ivanzaharov [21]3 years ago
8 0

Answer:

For Wagon Wheel to be the better choice, number of people must be less than 38. Else Blue Room is the better choice.

Step-by-step explanation:

The Golden Age Club is trying to book a location for their annual retirement dinner. The Blue Room restaurant quoted a price of $ 380 for the room and $20 per person for the dinner while the Wagon Wheel restaurant quoted a price of $30 per person.

Let n be the number of people attending.

For Blue Room the price = 380 + 20n

For Wagon Wheel the price = 30n

For Wagon Wheel to be the better choice,

30n ≤ 380 + 20n

n ≤ 38

For Wagon Wheel to be the better choice, number of people must be less than 38. Else Blue Room is the better choice.

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If the width and length of a rectangle are both increased by 10%. By what percent does the area of the rectangle increase? By wh
Arlecino [84]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
20 POINTS
saul85 [17]

Answer:

178.5 m^2

Step-by-step explanation:

Here we see a square and a half circle

Equation: A=bh+πr²

Square: 10*10= 100

Half circle: π5²  (it is 5 because the diameter is 10)

A= 25π

A=100+25π

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7 0
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If f(x) varies directly with x and f(x) = 40 when x = 8, find the value of f(x) when x = 2.
Vsevolod [243]

Answer:

f(x) = 10

Step-by-step explanation:

for direct variation

f(x) = kx

substitute in for f(x) and x

40 = k*8

solve for k

40/8 = k*8/8

5 =k

now we have

f(x) = 5*x

let x=2

f(x) = 5*2

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4 0
3 years ago
Read 2 more answers
I need help on two questions!
Inessa05 [86]

1) Answer: \frac{x^{2}}{100} +\frac{y^{2}}{4} = 1

<u>Explanation:</u>

The equation of an ellipse is: \frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}} = 1 ; where (h, k) is the center, "a" is the x-radius, and "b" is the y-radius.

               Center                        Radius

x-axis:   (10 + -10)/2 = 0            10 - 0 = 10

  •       h = 0                             a = 10

y-axis:   (2 + -2)/2  = 0               2 - 0 = 2

  •       k = 0                             b = 2

Now, input the values into the equation:

\frac{(x-0)^{2}}{10^{2}} +\frac{(y-0)^{2}}{2^{2}} = 1

\frac{x^{2}}{100} +\frac{y^{2}}{4} = 1

************************************************************************

2) Answer: \frac{x^{2}}{1} +\frac{(y+2)^{2}}{4} = 1

<u>Explanation:</u>

Vertices are: (0, 1) and (0, -5) ------> x-values are the same, y = 1, -5

Covertices are: (-1, -2) and (1, -2) ----> y-values are the same, x = -1, 1


               Center                        Radius

x-axis:   (-1 + 1)/2 = 0                  1 - 0 = 1

  •       h = 0                             a = 1

y-axis:   (1 + -5)/2  = -2               1 - (-2) = 3

  •       k = -2                             b = 3

Now, input the values into the equation:

\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}} = 1

\frac{(x-0)^{2}}{1^{2}} +\frac{(y-(-2))^{2}}{3^{2}} = 1

\frac{x^{2}}{1} +\frac{(y+2)^{2}}{9} = 1

3 0
4 years ago
Graph the following inequality and then select the correct graph below x + 2 &gt; 1
posledela

Answer:

The graph is attached below.

Step-by-step explanation:

First, we want to isolate the "x" term from the equation. We do this by subtracting "2" from both sides.

This gives us x is greater than -1. So, we can graph:

8 0
3 years ago
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