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Nikitich [7]
3 years ago
5

A local restaurant allows groups to rent out a party room in order to host events. The restaurant charges $600 to rent the room

and an additional $10 per meal. A local school's PTA wants to host an event at the restaurant and needs to determine the average cost per person attending so that they can price their tickets accordingly. Each person will receive one meal. Which equation can be used to determine the average cost per person, y, if x meals are served?
Mathematics
2 answers:
OleMash [197]3 years ago
3 0

Answer:

y = (10x + 600)/x

Step-by-step explanation:

To find the average cost, we must divide the total cost by the number of people.

The number of meals served will equal the number of people, since everybody gets just 1 meal.

Each meal is 10 dollars, plus the 600 rental fee.

The total cost will be the meal prices plus the fee, all divided by the number of people/number of meals, or x.

Zinaida [17]3 years ago
3 0

Answer:

y= \frac{10x+600}{x}

Step-by-step explanation:

Just took the test and got it right :)

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Keiko has seven colors of lanyard. She uses three different colors to make a keychain. How many different combinations can she c
AleksAgata [21]
Combination = doesn't matter what order
Permutation = order matters

There are <u>two</u> methods to work out combinations.

Method 1 List out possibilities
123 124 125 126 127 134 135 136 137 145 146 147 156 157 167
234 235 236 237 245 246 247 256 257 267
345 346 347 356 357 367
456 457 467
567

For a total of 35 combinations.

Method 2 Use a formula.
It's a rather complicated one, so only use it if you have a lot of possibilities.

\frac{n!}{r!(n-r)!} = \frac{7!}{3!(7-3)!} = \frac{7!}{3!*4!} = \frac{7*6*5*4*3*2*1}{3*2*1*4*3*2*1} = \frac{7*6*5}{3*2*1}=\frac{210}6=35

(n is the number of choices, r is the amount you choose, and ! is a function that multiplies together all numbers down to 1)


7 0
4 years ago
Please help ASAP! It’s due tmr
DIA [1.3K]

Answer:

I will tell you.

Step-by-step explanation:

a.-13

b.13

c.-25

d.25

e.20

f.-6

g.-22

h.-72

6 0
3 years ago
Which of the following facts did your answer include?
never [62]

Answer:

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7 0
3 years ago
Given the right triangle shown below.if Cos A =15/17 and tan A=8/15 which of the following represents the length of BC
otez555 [7]

Answer:

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

Step-by-step explanation:

Given:

Consider a right triangle ABC, Such that

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC, Cosine and Tangent identity

\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\

\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}

BUT,

\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15} ....Given

On Comparing,

Adjacent side to angle A = AB = 15

Opposite side to angle A = BC = 8

Hypotenuse = AC =17

Also Pythagoras theorem is Satisfies,

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

(\textrm{Hypotenuse})^{2} = 17^{2}=289

(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

7 0
3 years ago
**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?
Alborosie
We analyze the linear function to find that it has equation y=x.  Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting y=x into the given equation:

x^2+x^2=36

2x^2=36

x^2 = 18

x = \pm 3\sqrt{2}

Hence, x = 3\sqrt{2} or -\sqrt{2}, so there are both positive and negative values for x.
5 0
3 years ago
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