Milk is sold 1/2 pint bottles in 1 pint bottles and 2 pint bottles

Find (a) the number of subsets and (b) the number of proper subsets of the set.

vaieri [72.5K]

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

3 0

3 years ago

Use a number line to add and subtract. +7 + (-3)=

Karolina [17]

Answer:

4

Step-by-step explanation:

You have positive number and it is bigger that negative so your result will be positive too:

7-3=4

4 0

3 years ago

Can someone please help me ?????

ludmilkaskok [199]

Answer: 52

Step-by-step explanation:

is that all there is to it? just simply adding up 12 + 32 + 8, adding up the number of women who took the survey? if so, the answer is 52.

7 0

2 years ago

WILL MARK BRAINLYEST ❤️❤️❤️❤️❤️❤️

Valentin [98]

Answer:

$108.19

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3.6%/100 = 0.036 per year.

Solving our equation:

P = 119.88 / ( 1 + (0.036 × 3)) = 108.19494584838

P = $108.19

The principal investment required to get a total amount, principal plus interest, of $119.88 from simple interest at a rate of 3.6% per year for 3 years is $108.19.

Hope this helps!

6 0

3 years ago

Los nutriólogos recomiendan que una persona debe tomar en promedio 2.5 litros de agua en un día, para que esté bien hidratada. ¿

Goshia [24]

the question in English

Nutritionists recommend that a person should drink an average of 2.5 liters of water in a day, to be well hydrated. How many liters of water should a person drink in a month to comply with a good hydration (Consider a month equal to 30 days) Formulate an algebraic expression to determine the total liters of water that a person should drink a given number of days.

Let

x-------> the number of days

y------> the total liters of water

we know that

$y=2.5x$ ------> algebraic expression to determine the total liters of water that a person should drink a given number of days

For x=30 days (1 month)

substitute in the formula

$y=2.5*30=75\ liters$

therefore

the answer is

$75\ liters$

7 0

3 years ago