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andriy [413]
2 years ago
12

The first floor of a house consists of a kitchen, playroom, and dining room. The areas of the kitchen, playroom, and dining room

are in the ratio 4 : 3 : 2. The combined area of these three rooms is 189 square feet. What is the area of each room? (Ex. Kitchen Area=______, Playroom Area=______, Dining Room=_____) *
Mathematics
1 answer:
lozanna [386]2 years ago
5 0

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the areas of the kitchen, playroom, and dining room are in the ratio 4 : 3 : 2 and that the combined area of these three rooms is 189 square feet.

Therefore, Kitchen area = 4/(4+3+2) × 189 = 4/9 × 189 = 84 square feet

Playroom area = 3/(4+3+2) × 189 = 3/9 × 189 = 63 square feet

Dining room area = 2/(4+3+2) × 189 = 2/9 × 189 = 42 square feet

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Let one no. be x.
then another no. = (19-x).
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another no. = 19 - 37 = -18

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3 years ago
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.2 × 105
Oliga [24]

The hours it would take to type 3.2 x 10^5 words is 1.33 x 10^2  hours.

<h3>How many hours would it take to type 3.2 x 10^5 words?</h3>

Standard form is used in expressing large numbers in smaller numbers. It is used to transform large numbers into smaller number.

In order to write a number in standard form, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example: 1 x 10² is equivalent to 100

The first step is to determine how many words he can type in 1 hour : 40 x 60 = 2400 words = 2.4 x 10³

The second step is to divide 3.2 x 10^5 words by 2.4 x 10³

3.2 x 10^5 ÷ 2.4 x 10³ = 1.33 x 10^(5 - 3)

1.33 x 10^2  hours

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3 0
1 year ago
Best explained and correct answer gets brainliest.
Ahat [919]
The answer is C
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3 years ago
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There are 3 red marbles, 5 green marbles, and 2 blue marbles in a jar. Event A is defined as drawing a red marble from the jar o
Anastaziya [24]

P(B/A) is \frac{5}{9} in the simplest form

Step-by-step explanation:

Let us explain how to solve the problem

  • P(B|A) is called the "Conditional Probability" of B given A
  • Conditional probability is the probability of one event occurring with some relationship to one or more other events that means event A has already happened, now what is the chance of event B
  • The formula for conditional probability is P(B|A) = P(A and B)/P(A), where P(A and B) is P(A) . P(B given A occurred)

∵ There are 3 red marbles, 5 green marbles, and 2 blue

   marbles in the jar

∴ The total number of the marbles in the jar = 3 + 5 + 2 = 10

∵ Two marbles are drawn from the bag, one after the other without

   replacement

- That means red is already occurred when green is happened,

  so it is a "Conditional Probability" of green given red

  P(B/A) = P(A and B)/P(A)

∵ Event A is defined as drawing a red marble from the jar on

   the first draw

∴ P(A) = P(red)

∵ P(red) = \frac{3}{10}

∴ P(A) = \frac{3}{10}

∵ Event B is defined as drawing a green marble on the second draw

∴ P(B) = P(green)

- The number of marbles after the red is chosen is 9

∵ P(green) = \frac{5}{9}

∴ P(B) = \frac{5}{9}

- Find P( A and B)

∴ P(A and B) = ( \frac{3}{10} ) . ( \frac{5}{9} )

∴ P(A and B) = \frac{15}{90}

- Simplify the fraction by divide up and down by 15

∴ P(A and B) = \frac{1}{6}

∵ P(B|A) = P(A and B)/P(A)

- Substitute the values of P(A and B) and P(A) in the rule above

∴ P(B/A) = \frac{\frac{1}{6}}{\frac{3}{10}}

- Simplify the fraction

∵ \frac{1}{6} ÷ \frac{3}{10} = \frac{1}{6} × \frac{10}{3} = \frac{10}{18}

- Divide up and down by 2

∴ P(B/A) = \frac{5}{9}

P(B/A) is \frac{5}{9} in the simplest form

Learn more:

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