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3 years ago

Factor the expression. 15n−18

2 answers:

8 0

Factor 15n−18
15n−18
=3(5n−6)

3(5n−6)

5n-18 factored is 3(5n−6)

seraphim [82]3 years ago

6 0

For this case we have the following expression:

$15n-18$

We look for the factors of each coefficient.

We have then:

$15 = 1,3,5,15\\18 = 1,2,3,6,9,18$

Taking the biggest common factor we have:

$15n-18 = 3 (5n-6)$

Therefore, the factored expression is given by:

$3 (5n-6)$

Answer:

the factored expression is given by:

$3 (5n-6)$

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Sally is 10 years old. Her mother is five times older. How old Sally's mom?

Marat540 [252]

Sally is 10 years old. Her mother is five times older. If this is put into an equation: x = (age of sally)(5)
x = (10)(5)
x = 50 years
Sally's mom is 50 years old.

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3 years ago

A standard deck of cards contains 52 cards. One card is selected from the deck.

Anastaziya [24]

Answer:

1) Probability of randomly selecting a diamond or club = $\frac{1}{2}$

2)Probability of randomly selecting a diamond or club or heart = $\frac{3}{4}$

3) P(selecting a five or club) = $\frac{4}{13}$

Step-by-step explanation:

Total cards in the deck = 52

Noe Let E : favorable Event

So, $P(E) = \frac{\textrm{Number of Favorable outcomes}}{\textrm{Total outcomes}}$

1 ) Probability of randomly selecting a diamond or club

Here the favorable event is picking a club or diamond

hence, favorable outcomes = Number of club and diamond

= 13 + 13 = 26

⇒P(selecting a diamond or club) = $\frac{26}{52} = \frac{1}{2}$

2) Probability of randomly selecting a diamond or club or heart

Here the favorable event is picking a diamond and club and heart.

hence, favorable outcomes = Number of clubs + diamond + heart

= 13 + 13 + 13 = 39

⇒P(selecting a diamond or club or heart) = $\frac{39}{52} = \frac{3}{4}$

3 )Probability of randomly selecting a five or club.

Here the favorable event is selecting a five or club.

hence, favorable outcomes = Number of 5 in a deck + Number of clubs

= 3 + 13 = 16

⇒P(selecting a five or club) = $\frac{16}{52} = \frac{4}{13}$

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3 years ago

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Answer:

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Explain the converse of the Pythagorean theorem.

The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is less than the square of its hypotenuse.

B. 

The converse of the Pythagorean theorem states that if the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. 

The converse of the Pythagorean theorem states that if a triangle is a right triangle, then the sum of the squares of its legs is greater than the square of its hypotenuse.

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Step-by-step explanation:

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3 years ago