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2 years ago

15

Laura drinks 1/5 a gallon of water each day. How many days does it take her to drink 3 gallons of water? a. 1/15 b. 15 c. 3/5 d.

5/3

1 answer:

Sergeeva-Olga [200]2 years ago

8 0

15 days because if it’s 1/5 a day then in 5 days it’ll be 5/5 times 3 which is 15 days

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Elodia [21]

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Step-by-step explanation:

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3 years ago

What is the mean of the data set?

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3 years ago

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3 years ago

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7. What is the cardinality of each of the following sets?

zysi [14]

Answer:

The cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

Step-by-step explanation: We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

(c) {a, {a}, {a, {a}} }.

We know that

CARDINALITY of a set is the number of elements present in the set.

(a) The given set is A = { }.

The set A is an empty set, so it does not contain any element. Hence, the cardinality of the set A is 0.

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The set is B is singleton set, contains only one element (that is empty set). So, the cardinality of the set B is 1.

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Thus,

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and

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8 0

3 years ago

What is the simplified form of x+2/x^2-3x-10 * x-3/x^2+x-12

Vinvika [58]

I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

$\frac{x + 2}{ {x}^{2} - 3x - 10 } \times \frac{x - 3}{ {x}^{2} + x - 12 }$
$\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 } \times \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }$
$\frac{x + 2}{x(x + 2) - 5(x + 2)} \times \frac{x - 3}{x(x + 4) - 3(x + 4)}$
$\frac{x + 2}{(x + 2) \times (x - 5)} \times \frac{x - 3}{(x + 4) \times (x - 3)}$
$\frac{1}{(x + 4) \times (x + 5)}$
and basically that's the "answer", but you can simplify more.

$\frac{1}{ {x}^{2} + 4x - 5x - 20}$
$\frac{1}{ {x}^{2} - x - 20 }$
Hope that's helpful

3 0

3 years ago