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3 years ago

There is 1/3 of a carrot in every container of salad.

Mathematics

1 answer:

snow_tiger [21]3 years ago

6 0

Answer:

1/6

Step-by-step explanation:

should be the answer if I'm not mistaken

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Prove De Morgan's law by showing that each side is a subset of the other side by considering x ∈ A⎯⎯⎯ A ¯ ∩ B⎯⎯⎯ B ¯ .

adelina 88 [10]

Solution :

We have to prove that $\overline{A \cup B} = \overline{A} \cap \overline{B}$ (De-Morgan's law)

Let $x \in \bar{A} \cap \bar{B},$ then $x \in \bar{A}$ and $x \in \bar{B}$

and so $x \notin \bar{A}$ and $x \notin \bar{B}$ .

Thus, $x \notin A \cup B$ and so $x \in \overline{A \cup B}$

Hence, $\bar{A} \cap \bar{B} \subset \overline{A \cup B}$ .........(1)

Now we will show that $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$

Let $x \in \overline{A \cup B}$ ⇒ $x \notin A \cup B$

Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.

$x \in \overline{A}$ and $x \in \overline{B}$

Therefore, $x \in \overline{A} \cap \overline{B}$ and we have $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$ .............(2)

From (1) and (2),

$\overline{A \cup B} = \overline{A} \cap \overline{B}$

Hence proved.

3 0

3 years ago

A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.

Fittoniya [83]

The wrestler gained 5.20 kilograms per month.

Step-by-step explanation:

Let,

x be the weight gained every month.

y be the original weight before weight gain.

According to given statement;

0.5x+y=80.6 Eqn 1

2x+y=88.4 Eqn 2

3.5x+y=96.2 Eqn 3

Subtracting Eqn 1 from Eqn 2

$(2x+y)-(0.5x+y)=88.4-80.6\\2x+y-0.5x-y=7.8\\1.5x=7.8$

Dividing both sides by 1.5

$\frac{1.5x}{1.5}=\frac{7.8}{1.5}\\x=5.20$

The wrestler gained 5.20 kilograms per month.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers

6+[11-{10+2-(8 of 2+1-3×4) }]

Vesna [10]

Answer:

Step-by-step explanation:

Step-by-step explanation:

6+[11-{10+2-(8×2+1-3×4)}]

6+[11-{10+2-(8×2+1-3×4)}]6+[11-{10+2-(12)}

6+[11-{10+2-(8×2+1-3×4)}]6+[11-{10+2-(12)} ]6+[11-[10+2-12}]

6+[11-{10+2-(8×2+1-3×4)}]6+[11-{10+2-(12)} ]6+[11-{10+2-12}]6+[11-{0}]

6+[11-0]

6+[11]

6+11

17 Ans.

7 0

3 years ago

Mrs. Johnson is renting a car for vacation and plans to drive a total of 800 Miles. A rental car company charges $153 for the we

ch4aika [34]

No, she cannot afford the car.
The total would be $176, and she only has $160.

Hope this helps!!
~Kiwi

6 0

3 years ago

Read 2 more answers

Can sombody please help me with this math problem?

Molodets [167]

y=2/3y-3

1. y = 2/3 (9)-3 multiply 9 and 2 =18/3

y=18/3-3 divide 18 and 3 =6

y=6-3 subt. 3

y=3

2. -11=2/3x - 3

-11+3 = 2/3 x add 3 to both sides to cancel -3

-8=2/3 x

(3/2)-8 = (2/3)3/2 x multiply both sides by reciprical of 2/3

-24/2 = x divide

-12=x

4 0

3 years ago