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Gala2k [10]
1 year ago
13

five people arrived at the check _ out counter of a hotel at the same time, in how many different ways can the people line up?​

Mathematics
1 answer:
Fantom [35]1 year ago
6 0

There are 120 different ways the people can line up

<h3>How to determine the number of ways?</h3>

The number of people that arrived is:

n = 5

Take the factorial to calculate the number of ways they can line up

n! = 5!

Expand

n! = 5* 4 * 3 * 2 * 1

Evaluate

n! = 120

Hence, there are 120 different ways the people can line up

Read more about permutation at:

brainly.com/question/11732255

#SPJ1

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Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =
Nadusha1986 [10]

Answer:

The value of a is 10.

Step-by-step explanation:

We are given with the following pair of the linear system of equations below;

y = -x+9  and   y = 0.5x-6.

Also, the solution is given as (a, -1).

To find the value of 'a', we have to substitute the solution in the equation because it is stated that (a, -1) is the solution of the given two equations.

So, the x coordinate value of the solution is a and the y coordinate value of the solution is (-1).

First, taking the equation;

y = -x+9

Put the value of x = a and y = -1;

(-1) = -(a) + 9

a = 9 + 1 = 10

Now, taking the second equation;

y = 0.5x-6

Put the value of x = a and y = -1;

(-1) = 0.5(a)-6

0.5a = 6 - 1

0.5a = 5

a=\frac{5}{0.5}

a = 10

Since we get the value of a = 10 from the equations, so the value of a is 10.

8 0
2 years ago
2(g+5)=-7-4g+g include instructions plz!
Elza [17]
First distribute the 2, then add 7 to that side, so you have 2g+17=-4g+g , subtract 2g and it should be easy to find from there lol
4 0
3 years ago
Daniel Potter bought a new car for $20,000.00. Two years later, he wanted to sell it. He was offered $14,650.00 for it. If he so
olga_2 [115]
Answer: 13.375% per year

Explanation:

1) Depreciation is the loss of value: $ 20,000.00 - $ 14,650.00 = $ 5,350

2) The percent of depreciation is amount of the depreciation divided by the value of the car when purchased, times 100.

That is (5,350 / $ 20,000) * 100 = 26.75 %

2) The rate is percent of depreciation per year:

depreciation rate = % of depreciation / number of years = 26.75%  / 2 = 13.375% per year.
5 0
2 years ago
Read 2 more answers
A proportional relationship between the number of pounds of potatoes (x) and the price in dollars (y) is graphed, and the ordere
olga55 [171]

Answer:

Part A: The price of 1 pound of potatoes is 1 dollar and 25 cents (1.25) because 5 / 4 is 1.25 and that's 1 pound

Part B: The ordered pair (10, 8) represents that 10 punds of potatoes cost 8 dollars

4 0
2 years ago
When you multiply a function by -1 what is the effect on its graph?
vlada-n [284]

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

5 0
3 years ago
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