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inn [45]
3 years ago
8

A high school sewing club has 11 members. In how many different ways can they choose a president and vice president?

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
6 0
Since the order matters  Person A and B can be chosen as AB (A pres B vice pres) or BA (B president  A Vice president)

When the order matters we are talking about permutations. How many permutations of 11 taken 2 at a time are there.
It can be written like this 11nPr 2
It means start at 11 and multiply by the next lower number 
11 x 10 = 110 ways they can choose.
Extension of the concept:
If there had been three positions President, Vice President, and Treasurer
then it would be 11nPr3  or 11 x 10 x 9
Once again the answer to your problem is 110.
ahrayia [7]3 years ago
3 0

Answer: 110


Step-by-step explanation: Apex


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Pls help asap I will mark brainlist
Luba_88 [7]

<u>Answer</u>:

A. y = \frac{-2}{3}x + 3

<u>Explanation</u>:

slope: \frac{y2-y1}{x2-x1}

         : \frac{1-3}{3-0}

         : \frac{-2}{3}

equation: y - y1 = m( x - x1 )

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

                y = \frac{-2}{3}x + 3

6 0
2 years ago
Tourists covered 640 km for a 4 hour ride by car and a 7 hour ride by train. What is the speed of the train, if it is 5 km/h gre
gavmur [86]

Answer:

60 km/h

Step-by-step explanation:

Let us use the x to represent the speed of the car since it is the smaller value.

Then, the distance covered by the car is 4x since was going 4 kph.

The distance covered by the train is (x+5) times 7 or 7x+35.

We know that the total distance covered is 640 km.

Using this information, we can set up the equation 4x+7x+35=640.

By subtracting both sides by 35 and combining the x's, we get a new equation of 11x=605.

After this, we divide both sides by 11 and get x=55.

Lastly, we add 5 to 55 since the train is 5 km faster than the car and that x stood for the car.

Train=60 km/h

5 0
3 years ago
Use the distributive property to factor the expression. 12xy + 28xz
soldier1979 [14.2K]

Answer:

The factored equation would be 4x(3y + 7z)

Step-by-step explanation:

In order to find this, look for the greatest common factor and pull it out. Since both have factors of 4 and both have an x, we pull those out. We then divide each term by 4x to get what is left over.

6 0
3 years ago
Read 2 more answers
Find x, y, and z<br><br> x = 39<br> x = 29<br> y = 61<br> y = 29<br> z = 61<br> z = 29
nikdorinn [45]

answer:

x = 29

y = 29

z = 61

step-by-step explanation:

all angles in a triangle must equal 180 degrees.

we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.

the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.

so to figure out y,

we must add 61+90 and then subtract the sum of that from 180.

so, 61+90 = 150 and 180-151 = 29

therefore,

we can conclude that y = 29

now, to determine the degrees of x and z we do the same thing.

we already know one angle equals 90 degrees.

180-90 = 90

that concludes that x and z must have a sum of 90.

if we use our choices,

39+61 = 100 (no)

39+29 = 68 (no)

29+61 = 90 (CORRECT)

29+29 = 28 (no)

<em>therefore, x = 29 and z = 61</em>

<em></em>

<em>so, in total :</em>

<em>x = 29</em>

<em>y = 29</em>

<em>z = 61</em>

<em></em>

<em>hope this helps :)   </em>

<em>-audrey <3 </em>

5 0
3 years ago
Katie has $20 in a savings account that earns 10% interest, compounded annually.
Monica [59]

Answer:

In 3 years she will make $6.44.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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