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scoundrel [369]
3 years ago
14

If n(A ∪ B)=49, n(A ∩ B)=24, and n(B)=27, find n(A).

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

Answer:

46

Step-by-step explanation:

n(A U B)= n(A) + n(B) - n(A ∩ B)

n(A)= n(A U B) - n(B) + n(A ∩ B)=49-27+24 =46

Hope, this helps you.

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<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

5 \sqrt{2} or 7.071

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

(4,2)

(-1,-3)

Solving for the Distance:

\sqrt{(4-(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5 \sqrt{2}

<u>Note:</u>

5 \sqrt{2} \approx 7.071

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Round each amount to the nearest hundred to find the estimate of 9635 - 4891
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Someone help me with this one​
frosja888 [35]

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2/3

Step-by-step explanation:

20% = 12

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Determine the measure of the unknown angle in each triangle​
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5 0
3 years ago
Katherine bought snacks for her team's practice. She bought a bag of chips for $2.70 and a 12-pack of juice bottles. The total c
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1. A system of equations to determine the cost of a bottle of juice, is <u>12x + 2.70 = 15.78</u>.

2. From the equation, x = $1.09.

<h3>What is an equation?</h3>

An equation is a mathematical statement that shows that two values are equal.

A system of equations uses numbers and variables.

<h3>Data and Calculations:</h3>

The cost price of a bag of chips = $2.70

The total cost of snacks = $15.78

The total cost of 12-pack of juice bottles = $13.08 ($15.78 - $2.70)

Therefore, a bottle of juice = $1.09 ($13.08/12)

<h3>Equations:</h3>

Let a bottle of juice = x

Total cost of snacks = $15.78

2.70 + 12x = 15.78

or 12x + 2.70 = 15.78

12x = 13.08

x = 1.09 (13.08/12)

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