Okay. So, what we do first is do the distributive property by multiply each number in the parenthesis by 3. When we do that, we get (6x + 12), because 3 * 2x is 6x and 4 * 3 is 12. Now, the numbers written out in long form is 5 + 6x + 12 + 6. 6x is in simplified form, because there is nothing that we can combine it with, but we do need to combine the whole numbers. 5 + 12 is 17, and 17 + 6 is 23. The expression in simplified form is 6x + 23. The answer is B.

3 0

3 years ago

A standard six-sided die is rolled twice and the top faces are observed. What is the probability that the sum of the numbers on

melisa1 [442]

Answer:

A standard six-sided die is rolled twice and the top faces are observed and the probability that the sum of the numbers on the top faces is 10 is $\frac{1}{12}$

Solution:

The sample space of two dice outcomes is given as follows:

{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3, 1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4, 1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5, 1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6, 1) (6,2) (6,3) (6,4) (6,5) (6,6) }

Total number of events n(s) = 36

Expected Outcomes = {(4, 6), (5, 5), (6, 4)}

Number of favorable outcomes n(E) = 3

Probability (sum of numbers on the top faces is 10) = $\frac{n(E)}{n(s)}$ = $\frac{3}{36}$ = $\frac{1}{12}$

Therefore the probability that the sum of the numbers on the top faces is 10 is $\frac{1}{12}$

3 0

3 years ago

Azul went snorkeling and he noticed That is the ratio of parrotfish to clown fish what is 4:3 He saw a 20 parrot fish how many C

skelet666 [1.2K]

$\frac{4}{3} = \frac{20}{?}$

$\frac{3 \times 20}{4} = 15$

8 0

3 years ago

For which function is f(5) = 2?

Ratling [72]

By evaluating the linear function f(x) = x - 3 at x = 5 and discarding the another function in the table given, we conclude that f(5) = 2 belongs to that linear equation.

<h3>What function contains a given relationship?</h3>

In this problem we must check if the given relationship between the independent variable (x) and the dependent variable (y) exists in any of the two functions: (i) a table, (ii) an expression.

After a quick analysis, we conclude that f(5) = 2 is a point of the linear function f(x) = x - 3. Here is the proof:

f(5) = 5 - 3

f(5) = 2

To learn more on linear equations: brainly.com/question/11897796

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3 0

2 years ago

Billy has swimming lessons on every 3rd day and piano lessons every 12th day when will he have both on the same day​

Billy has swimming lessons on every 3rd day and piano lessons every 12th day when will he have both on the same day