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Svetllana [295]
3 years ago
9

A club with 19 members is to choose three officers president vice president and security secretary treasurer. If each office is

to be held by one person and no person can hold more than one office in how many ways can those offices be filled
Mathematics
1 answer:
horrorfan [7]3 years ago
4 0
<span>President has 19 options Vice President has 18 options (19 - 1 president) Secretary has 17 options (19 - president and vice president) 19*18*17 = 5,814 different combinations are possible for the office positions</span>
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HHenry is going on a trip to Brazil. He is currently deciding which cities he will visit during his stay. The table below shows
Karo-lina-s [1.5K]
First, sum up the total expenses for the original plan

Duque de Caxias + Campinas + Rio de Janeiro + Guarulhos = 242+185+193+120 = R$740

It is clearly over the intended budget. The average cost per itinerary is around R$200 so we will consider making a swap on either Duque de Caxias and Rio de Janeiro.  Possible answers are (b) or (c)

for (b) Replace Duque de Caxias with Fortaleza, we will have

Fortaleza + Campinas + Rio de Janeiro + Guarulhos =
⇒ 201+185+193+120 = R$699  ⇒ This is exactly the budget intended for the trip

for (C) Replace Rio de Janeiro with Porto Alegre
Duque de Caxias + Campinas + Porto Alegre  + Guarulhos =
⇒ 242 + 185 + 153 +120 = R$ 700 ⇒ This is over R$1

The answer is (b)

5 0
3 years ago
Read 2 more answers
(04.05 MC)
nika2105 [10]

Answer:

D

Step-by-step explanation:

Plug in and see.

Check A: Lets plug in (0,3) into y<2/3 x+2.

3<2/3 (0)+2

3<2 is not true so not A

Check C: Lets plug in (3,5) into y<2/3 x+2.

5<2/3 (3)+2

5<2+2

5<4 is not true so not C

Check B: Lets plug in (-3,1) into y<2/3 x+2.

1<2/3 (-3)+2

1<0 is not true so not B

Check D: Lets plug in (1,2) into y<2/3 x+2.

2<2/3 (1)+2

2<2/3+2 is true so D

6 0
3 years ago
Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions
liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0
3 years ago
Figure JKL is reflected about the y-axis to obtain figure J′K′L′:
Colt1911 [192]

Answer: the answer is a

Step-by-step explanation:

5 0
3 years ago
An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously. How much was deposited
Leya [2.2K]

The intital amount deposited was  $18485.82.

<h3>How to find the compound interest?</h3>

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

a = p(1 + \dfrac{r}{n})^{nt}

An account has $26,000 after 15 years. The account received 2.3 percent interest compounded continuously.

A = 26000

R = 0.02.3

a = p(1 + \dfrac{r}{n})^{nt}

26000 = p(1 + \dfrac{2.3}{100})^{15}\\\\26000 = p \times 1.4064\\\\\P= 18485.82

Therefore, the intital amount deposited was  $18485.82.

Learn more about compound interest here:

brainly.com/question/1329401

#SPJ1

7 0
2 years ago
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