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A man age is three times his sons age. ten years ago was five times his sons age. find their current age.

kow [346]

Answer:

The son is 20

The man is 60

Step-by-step explanation:

We can set up this equation with what we know. Let m stand for the Man's current age, and let s stand for his son's current age.

We know the Man's current age is three times that of his son, so this equation can be written as: m = 3s

Ten years ago means the man's current age minus 10 years. So it is m-10. So ten years ago he was 5 times his son's age 10 years ago, 5(s-10)

This can be written as: m-10=5(s-10)

Solve with either substitution or elimination, the choice is yours, it doesn't really matter which method you use. I'll be using substitution.

m-10=5(s-10)

3s-10= 5s-50

40=2s

20 = s

The son is 20 years old.

We know the man is currently 3 times his son's age, because m=3s, so just solve for m since you now know the value of s.

m=3s

m=3(20)

m=60

The man is 60 years old

4 0

3 years ago

4 ounce bottle of medicine contains 20 doses how many doses are in a 13 ounce of all of the same medicine

NNADVOKAT [17]

$\bf \begin{array}{ccllll}
ounces&doses\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
4&20\\
13&x
\end{array}\implies \cfrac{4}{13}=\cfrac{20}{x}$

solve for "x"

3 0

3 years ago

Read 2 more answers

1. The probability of telesales representative making a sale on a customer call is 0.15.

Mumz [18]

Answer:

1c

$n = 33$

1d

$n = 19$

Step-by-step explanation:

From the question we are told that

The probability of telesales representative making a sale on a customer call is $p = 0.15$

The mean is $\mu = 5$

Generally the distribution of sales call made by a telesales representative follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the mean is mathematically represented as

$\mu = n* p$

=> $5= n * 0.15$

=> $n = 33$

Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as

$P( X \ge 1) = 1 - P( X < 1 ) > 0.95$

=> $P( X \ge 1) = 1 - P( X =0 ) > 0.95$

=> $P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95$

=> $1 - [1 * 1* (0.85)^{n}] > 0.95$

=> $[(0.85)^{n}] > 0.05$

taking natural log of both sides

$n = \frac{ln(0.05)}{ln(0.85)}$

=> $n = 19$

3 0

3 years ago

During a drought, the water level in a reservoir dropped 3 in. each week for 5 straight weeks. Express the overall change in wat

aliina [53]

Answer:

v = -3w

Step-by-step explanation:

water level/volume = -3 x weeks

v = -3w

6 0

2 years ago

Round off 0.043 to one significant figure

aniked [119]

Hey there :)

0.043
The first 0 before the decimal point is not significant since it is used for cosmetic purpose
The 0 after the decimal is not significant as the 0 is used to locate the decimal point
The 4 is the first nonzero integer and it counts as a significant figure

Therefore, 0.04 will be your answer rounded to 1 s.f

4 0

3 years ago

Read 2 more answers