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kaheart [24]
3 years ago
8

If n(A)=26, n(B)=41, and n(A ∩ B)=8, find n(A ∪ B).

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

n (AUB) = 59

Step-by-step explanation:

n(A U B) = n(A) + n(B) -n(A intersection B)

= 26+ 41- 8

= 59

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Show work. step by step instructions. <br> solve for p<br> 4(p+2)=28
Mazyrski [523]

We can use the distributive property for this:

4 (p+2) = 28

4p + 8 = 28.

4p = 28 - 8.

4p = 24.

Divide by 4 on both sides:

p = 6

6 0
3 years ago
Terry practices the same amount of time each day for his soccer tryouts. In 4 days, he has practiced for 360 minutes. Let x repr
n200080 [17]

Answer:

90

Step-by-step explanation:

390 ( 40; 6 )

7 0
2 years ago
Suppose that, on a 3,000-mile New York to Los Angeles flight, United Continental, American, and Southwest flew a total of 270 em
allsm [11]

Answer:

The number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf for the complete question.

The explanation of the answers is now provided as follows:

Let U, A and W represents number of empty seats of United Continental, American, and Southwest respectively. Therefore, we have:

U + A + W = 270 ………………………. (1)

Since United Continental had three times as many empty seats as American, this implies that:

U = 3A ………………………………… (2)

Substituting U = 3A into equation (1), we have:

3A +A + W = 270

4A + W = 270

W = 270 - 4A ………………………….. (3)

For the cost, we have:

3,000[((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100)] = $114,990

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = $114,990 / 3,000

((14.90 / 100) * 3A) + (14.60A / 100) + (12.40W / 100) = 38.33

0.447A + 0.146A + 0124W = 38.33

0.593A + 0.124W = 38.33 ………………… (4)

Substituting W = 270 - 4A from equation (3) into (4) and solve for A, we have:

0.593A + 0.124(270 - 4A) = 38.33

0.593A + 33.48 - 0.496A = 38.33

0.593A - 0.496A = 38.33 - 33.48

0.097A = 4.84

A = 4.84 / 0.097

A = 49.8969072164948

Rounding to a whole number, we have:

A = 50

Substituting A = 50 into each of equations (2) and (3), we have:

U = 3 * 50 = 150

W = 270 - (4 * 50) = 70

Therefore, the number of empty seats each of these three airlines carried on its flight are as follows:

United Continental = 150 empty seats

American = 50 empty seats

Southwest = 70 empty seats

Download pdf
6 0
2 years ago
Please answer fast! (10 points)
SIZIF [17.4K]

Answer:

can u show me a picture of this problem.

Step-by-step explanation:

8 0
3 years ago
When adding the square root of 9 and -7, which type of number is the sum?
joja [24]
I think it would be B but i am not 100% sure.
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3 years ago
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