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dedylja [7]
2 years ago
10

2. Writing a set in Roster Method means you list the elements of sets inside the braces separated by commas; while writing the s

et using Set Builder Notation means writing the wet in words or description inside the braces. Examples are shown below: Given: Set A is a set of vowels The elements are a, e, i, o, u Roster Method A= {a, e, i, o, u Set Builder Notation A = {x / x is a vowels So, write the following sets in Roster Method and Set Builder Notation. a. Bis a set of days in the week that starts with letter S Roster Method Set Builder Notation: b. Cis a set of letters in the word PHILIPPINES Roster Method​
Mathematics
1 answer:
ra1l [238]2 years ago
6 0

The sets can either be presented in set builder form or roaster form. The

given sets presented in the required form are;

a. The set B is the set of days in the week that starts with letter S

Therefore;

The elements of B are; Saturday, Sunday

In roster method, we have; B = {<u>Saturday, Sunday</u>}

In set builder notation, we have; B = {<u>x | x is a days in the week that starts with letter S</u>}

b. C is the set of letters in PHILIPPINES

In roster form, we have; <u>C = {P, H, I, L, I, P, P, I, N, E, S}</u>

In set builder notation, we have; <u>C = {Letters in the word PHILLIPINES}</u>

Learn more here:

brainly.com/question/13642904

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Linear system please help 60 points * please please please help will give brainlist
bearhunter [10]

Answer:

1. a. b = - 8

b. x = 8

c. x = 11

d. x = 5

2. 12 soccer balls and 8 basketballs can be purchased.

Step by step explanation

a. - 14 + 6b + 7 - 2b = 1 + 5b

Calculate the sum

- 7 + 6b - 2b = 1 + 5b

Collect like terms

7 + 4b = 1 + 5b

Move variable to L.H.S and change it's sign

Similarly, Move constant to R.H.S and change its sign

4b - 5b = 1 + 7

Collect like terms

- b = 8

Change the signs on both sides of the equation

b =  - 8

-----------------------------------------------------------------

b. \frac{5x   + 10}{ - 6}  =  - 5

Apply cross product property

5x + 10 =  - 5 \times  ( - 6)

Multiply the numbers

5x + 10 = 30

Move constant to R.H.S and change its sign

5x = 30 - 10

Calculate the difference

5x = 20

Divide both sides of the equation by 5

\frac{5x}{5}   = \frac{20}{5}

Calculate

x = 4

----------------------------------------------------------------

c. - 15 =  \frac{ - 8x - 17}{7}

Apply cross product property

- 15 \times 7 =  - 8x - 17

Multiply the numbers

- 105 =  - 8x - 17

Swap the sides of the equation

- 8x - 17 =  - 105

Move constant to R.H.S and change its sign

- 8x =  - 105 + 17

Calculate

- 8x =  - 88

Change the signs on both sides of the equation

8x = 88

Divide both sides of the equation by 8

\frac{8x}{8}  =  \frac{88}{8}

Calculate

x = 11

------------------------------------------------------------------

D. 5 = 6x + 5(x - 10)

Distribute 5 through the parentheses

5 = 6x + 5x - 50

Collect like terms

5 = 11x - 50

Swap both sides of the equation

11x - 50 = 5

Move constant to R.H.S and change its sign

11x = 5 + 50

Calculate the sum

11x = 55

Divide both sides of the equation by 11

\frac{11x}{11}  =  \frac{55}{11}

Calculate

x = 5

------------------------------------------------------------------

2.

Solution,

No.of students in soccer = x

No.of students in basketball = y

Total no.of students = 20

i.e x + y = 20 → equation ( i )

Cost of soccer ball = $ 7

Cost of basketball = $ 10

Total budget = $ 164

i.e 7x + 10 y = 165 → equation ( ii )

In equation ( i ),

x + y = 20

Move 'y' to R.H.S and change its sign

x = 20 - y

Put the value of x in equation ( i )

7(20 - y) + 10y = 164

140 - 7y + 10y = 164

3y = 164 - 140

3y = 24

y =  \frac{24}{3}

y = 8

Now, put the value of y in equation ( i ) ,

x + y = 20

x + 8 = 20

x = 20 - 8

x = 12

Hence, 12 soccer balls and 8 basketballs can be purchased.

Hope this helps...

Best regards!!

6 0
3 years ago
Read 2 more answers
unit rate in real life can someone plz give a full thing with out saying what dose it mean if your going to say that say it in t
makkiz [27]

Answer:

if you mean like an example, cooking instructions, if they ask for a certain amount of time for this many of the item, but not the amount you want, you can use another example of time to find unit rate then figure out how long you need to cook it for with your desired number of items

Step-by-step explanation:

3 0
3 years ago
Any1 wanna ta.lk? I'm bo.red...
irinina [24]

Answer:

yup heyy hru

Step-by-step explanation:

6 0
3 years ago
In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million peopl
babunello [35]

Answer: Option A

P = 5.3 + 0.09125t

Step-by-step explanation:

Note that for the initial year, 1990, the population was 5.3 billion.

The exchange rate is 0.09125 billion per year. In other words, each year there are 0.09125 billion more people.

In year 2 there will be 0.09125 * 2 billion people

In year 3 there will be 0.09125 * 3 billion people

In year 4 there will be 0.09125 * 4 billion people

In year t there will be 0.09125 * t billion of people

So the equation that models the number of people that there will be as a function of time is:

P = P_0 + rt

Where P_0 is the initial population

P_0 = 5.3 billion

r is the rate of increase

r = 0.09125 billion per year

finally the equation is:

P = 5.3 + 0.09125t

The correct answer is option A.

6 0
3 years ago
Read 2 more answers
A large community college has professors and lecturers. The total number of faculty members is 228. The school reported that it
NARA [144]

Answer:

60 professors and 168 lecturers

Step-by-step explanation:

What you have is a 2 equations system with 2 unknown variables.

Let X be the number of professors and Y be the number of lecturers. As the total of both is 228:

X + Y = 228

Then, as there are 5 professors for every 14 lecturers:

5 X = 14 Y or X = (14/5) Y

Replacing this last value of X on the first equation:

(14/5) Y + Y = 228

(14/5) Y + (5/5) Y = 228

(19/5) Y = 228

Y = 228 * (5/19)

Y = (228*5)/19

Y = 1140 / 19

Y = 60

Then we can find X:

X = (14/5) Y = (14/5) * 60 = 168

X = 168

:)

6 0
3 years ago
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