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3 years ago

14

A woman is 10 times as old as her daughter. In 8 years she will be 4 times as old as her daughter. How old is the mother now?

2 answers:

mars1129 [50]3 years ago

4 0

Answer:

80 years

Step-by-step explanation:

Let daughter's age be x years.

Therefore, women's age = 10x years

8 years after:

Daughter's age = (x + 8) years

Women's age = 4(x + 8) years

$4(x + 8) = (x + 8) \\ 4x + 32 = x + 8 \\ 4x - x8 - 32 \\ 3x = - 24 \\ x = \frac{ - 24}{3} \\ x = - 8 \\ \because \: age \: of \: a \: person \: can \: not \: be \: negative \\ \therefore \: x = 8 \\ \therefore \: 10x = 10 \times 8 \\ \huge \red{ \boxed{\therefore \: 10x = 80 \: years}}$

jeka57 [31]3 years ago

3 0

Answer:

Mom is 40 and her daughter is 4; in eight years, mom will be 48 and her daughter will be 12.

Step-by-step explanation:

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There are two boxes containing red and blue balls. For box A, there are 3red balls and 7blue balls. For box B, there are 6red ba

Brums [2.3K]

Answer:

0.3333 = 33.33% probability that this red ball is from box A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Red ball

Event B: From box A.

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3/10 = 0.3 of 1/2 = 0.5(box A)

6/10 = 0.6 of 1/2 = 0.5(box B). So

$P(A) = 0.3*0.5 + 0.6*0.5 = 0.45$

Probability of a red ball from box A:

0.3 of 0.5, so:

$P(A \cap B) = 0.3*0.5 = 0.15$

What is the probability that this red ball is from box A?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.45} = 0.3333$

0.3333 = 33.33% probability that this red ball is from box A.

8 0

3 years ago

12 stars / 30 balloons = x / 120 balloons

OlgaM077 [116]

Answer: 48 stard

Step-by-step explanation:

12 stars = 30 balloons

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Solve

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7 0

3 years ago

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CaHeK987 [17]

Factor 25a2−30a+9

25a2−30a+9

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Answer:

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4 years ago

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dexar [7]

Answer:

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Step-by-step explanation:

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√x^2 = x.

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2 years ago

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Shkiper50 [21]

Answer:

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Step-by-step explanation:

If a map has a scale of 1: 500000, then 1 cm on the map is 500000 cm

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3 years ago

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