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Gwar [14]
2 years ago
11

41. If n(G) = 20, n(H) = 30, n(G ⋂ H) = 5, find n(G ⋃ H) 42. If n(G) = 5, n(H) = 8, n(G ⋂ H) = 4, find n(G ⋃ H)

Mathematics
1 answer:
Sever21 [200]2 years ago
8 0

Answer:

hope it will help

plz mark brainliest✌️✌️

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Suppose that y varies directly with x<br> and y = 10 when x = 20. What is y<br> when x = 15?
tresset_1 [31]

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

5 0
3 years ago
Hamburger buns come in packages of 8. Hamburger patties come in packages of 10.
Vadim26 [7]

Answers/Step-by-step explanation:

A. LCM

B. Greatest Common Factor(GCF) shows the largest whole number, in this case patties and buns, would be a part of the whole that matches both numbers. Neil is unable to buy parts of packages because that not how most stores do business. Least common multiple(LCM) is the number that is both closest in value to the original number while being equal for all numbers. in that case, Neil is buying whole packages so it would work.

C. Neil would buy 4 packages of hamburger patties and 5 packages of hamburger buns. He could make 20 burgers.

3 0
3 years ago
If x is a positive number greater than 10, what is always true about the solution to the problem to -3 + x ?​
alexandr402 [8]

Answer:

The equation answer will always be positive

Step-by-step explanation:

3 0
2 years ago
NOTE -- THIS QUESTION HAS BEEN ANSWERED ALREADY!!!
DanielleElmas [232]

Answer:

The cubic polynomial is: x³ - x² - 6x.

Step-by-step explanation:

Given the degree and the roots of the polynomial we can find it.

An n - degree polynomial has n roots.

Here, given that the degree of the polynomial is 3 and three roots are given. Also, if (x - a) is a factor of a polynomial then x = a is a root of the polynomial. The converse is also true.

Since, the roots of the polynomial are given to -2, 0, 3 then it should have had the following factors.

(x + 2)(x - 0)(x - 3) = 0

Multiplying them we get:

⇒ $ (x^2 + 2x)(x - 3) $

$ = x^3 - 3x^2 + 2x^2 - 6x $

$ = x^3 - x^2 - 6x $ which is the required cubic polynomial.

Hence, the answer.

4 0
3 years ago
A fish cost 5.50. Apply the following percentage to see how much it will cost to buy a fish? Markup: 70%. Discount:10% Tax: 6.25
Leto [7]

Answer:

Step-by-step explanation:

I don’t know sorry

5 0
3 years ago
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