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3 years ago

Solve for x. 4(2-x)+13=2x+3

Mathematics

1 answer:

gregori [183]3 years ago

4 0

Answer:

x = 3

Step-by-step explanation:

4(2-x)+13=2x+3

distribute the 4.

8 - 4x + 13 = 2x + 3

combine like terms.

21 - 4x = 2x + 3

18 = 6x

divide by 6.

x = 3

check.

4(2 - 3) + 13 = 2(3) + 3

4(-1) + 13 = 6 + 3

-4 + 13 = 9

9 = 9

correct!

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You randomly draw a marble from a bag of marbles that contains 3 blie marbles, 4 green marbles, and 5 red marbles. What is P?

Licemer1 [7]

The question is incomplete! Complete question along with answer and explanation is provided below.

Question:

You randomly draw a marble from a bag of marbles that contains 3 blue marbles, 4 green marbles, and 5 red marbles. What is P?

a) selecting a blue marble

b) selecting a green marble

c) selecting a red marble

Answer:

a) P(blue marble) = 1/4

b) P(green marble) = 1/3

c) P(red marble) = 5/12

Step-by-step explanation:

a) The probability of selecting a blue marble is given by,

P(blue marble) = no. of blue marbles/total no. of marbles

Where number of blue marbles = 3

Total number of marbles = 3 + 4 + 5 = 12

P(blue marble) = 3/12

P(blue marble) = 1/4

b) The probability of selecting a green marble is given by,

P(green marble) = no. of green marbles/total no. of marbles

Number of green marbles = 4

Total number of marbles = 12

P(green marble) = 4/12

P(green marble) = 1/3

c) The probability of selecting a red marble is given by,

P(red marble) = no. of red marbles/total no. of marbles

Where number of red marbles = 5

Total number of marbles = 12

P(red marble) = 5/12

So, the probabilities are

P(blue marble) = 1/4

P(green marble) = 1/3

P(red marble) = 5/12

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3 years ago

1) A rectangle has the lengths shown <br> Find the perimeter of the rectangle.

maks197457 [2]

Hi there! :)

$\large\boxed{P = 32cm}$

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.

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