Find A ∩ (B ∪ C ). A = {2, 3, 5, 8} B = {3, 5, 7} C = {2, 4, 8}

Answers

Answer 1
Answer:

The union of B and C will be (B ∪ C) = {2, 3, 4, 5, 7, 8}. Then the intersection of the A and (B ∪ C) will be A ∩ (B ∪ C) = {2, 3, 5, 8}.

What are Sets?

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

The sets are given below.

A = {2, 3, 5, 8}

B = {3, 5, 7}

C = {2, 4, 8}

Then the union B and C will be

(B ∪ C) = {2, 3, 4, 5, 7, 8}

Then the intersection of A and (B ∪ C) will be

A ∩ (B ∪ C) = {2, 3, 5, 8}

More about the sets link is given below.

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Answer 2
Answer: (B ∪ C )={2, 3, 4, 5, 7, 8}
A ∩ (B ∪ C )={2, 3, 5, 8}∩ {2, 3, 4, 5, 7, 8}={2, 3, 5, 8}

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fifteen percent of the workers at nationwide industries earn minimum wage. if 24 workers earn minimum wage, how many total workers are there at nationwide industries?

Answers

if you do 100 divided by 15 times 24 you get 160
Let the total number of workers be x

Since its given in statement, that 15% of workers earn minimum wage and that is equal to 24.
i.e 15 % of x = 24
x*15/100 = 24
x = 24*100/15
x = 160
therefore total number of workers are 160

What is the equation of the horizontal line that passes through the point (-2, -1)​

Answers

Answer:

y= -1

Step-by-step explanation:

A horizontal line would mean that it has no slope, since the line is not decreasing or increasing. The horizontal line drawn through (0, -1) would pass through (-2, -1), since they share the same y coordinate.

The line y= -3 is a reflection of the line y=5. What is the equation for the line of reflection?

Answers

Answer:

y = 1

Step-by-step explanation:

The line of reflection will be a parallel line midway between y = - 3 and y = 5

y = (-3+5)/(2) = (2)/(2) = 1

line of reflection is y = 1

Answer:

y=1

Step-by-step explanation:

the line of reflection will be a parallel line midway between y=-3and y=5

y=-3+5/2

=2/2=1

solve for m (r=3m+3z) solution is m=___, use integers or fractions for any numbers in the expression (simplify answer) please help

Answers

r=3m+3z\n\n3m=3z-r\ \ \ \ /:3\n\nm=z-(r)/(3)

wyatt can husk at least 12 dozen ears of corn per hour and at most 18 dozen ears of corn per hour. Based on this information. what is a possible amount of time, in hours, that it could take wyatt to husk 72 dozen ears of corn?

Answers

If Wyatt can husk at least 12 an hour, then to work out how much 72 takes, we do 72 ÷ 12 to find out the time. The answer is 6.

If Wyatt can husk 18 at most, then we do 72 ÷ 18 = 4 hours.

Wyatt can husk 72 dozen ears in anywhere between 4 and 6 hours, but if you were to average it, you would get 5 hours. ((4 + 6) ÷ 2 = 5).


so a possible amount of time
find the range of highest and lowest
equation is
(number of corns per hour) times (number of hours)=72
so
12 times x=72 would be longest and
18 times y=72 would be shortest

solve
12 times x=72
divid 12
x=6
6 hours at most

18 times x=72
divide 18
x=4

at most 6 hours an at least 4 hours so
6>hours>4
any number of hours from 4 to 6 including 4 and 6

How many grams are in 40 hectograms?

Answers

In this case, 40 hectograms is equal to 4000 grams.

To convert hectograms to grams, we need to know that 1 hectogram (hg) is equal to 100 grams (g).

Now, let's calculate the number of grams in 40 hectograms:

1 hectogram = 100 grams

Therefore, 40 hectograms will be:

40 hectograms = 40 * 100 grams

40 hectograms = 4000 grams

So, there are 4000 grams in 40 hectograms.

In summary, to convert hectograms to grams, we use the conversion factor of 1 hectogram = 100 grams. By multiplying the number of hectograms by 100, we get the equivalent weight in grams. In this case, 40 hectograms is equal to 4000 grams. This conversion is based on the metric system, where prefixes like hecto- and kilo- represent multiples of 100 and 1000, respectively, making it easy to convert between different units of weight.

To know more about hectograms:

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Something i use to convert metric units is: King Henry Died By Drinking Chocolate Milk. This is an acronym for:
K: Kilos
H: Hecto
D: Deka
B: Base (liters or grams etc.)
D: Deci
C: Centi
M: Milli

Now, since you are going from hectograms (hecto) to grams (base) you will move the decimal to the right 2 times (since base is 2 bellow hecto) So that means: There are 4,000 grams in 40 hectograms.