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3 years ago

Musa is 47 years old and Dayo is 22 years old. How many years ago was the product of their ages i.e 836 years.

Mathematics

1 answer:

shtirl [24]3 years ago

8 0

Answer:

3 years ago

Step-by-step explanation:

let m be Musa's age and d be Dayo's age

let x be number of years ago

m = 47

d = 22

(m - x)(d - x) = 836

(47 - x)(22 - x) = 836

1034 - 69x + x² = 836

x² - 69x + 198 = 0

This is in standard from ax² + bx + c = 0

Factor to be (x+q)(x+p)=0

p*q = c = 198

p+q = b = -69

198 = (-3)*(-66)

(-3) + (-66) = -69

Factored form is:

(x - 66)(x - 3) = 0

Set each bracket to 0

x - 66 = 0

x = 66 <= This number is inadmissable because neither Musa nor Dayo reached age 66.

x - 3 = 0

x = 3

The product of their ages was 836 3 years ago.

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9966 [12]

The answer is 9
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3 years ago

9,13,43,55 what is the mean absolute deviate (MAD) of their ages

lisov135 [29]

Answer:

The mean absolute deviation of this data $\{9,13,43,55\}$ is $MAD =19$ .

Step-by-step explanation:

The mean absolute deviation (MAD) of a dataset is the average distance between each data point and the mean. It gives us an idea about the variability in a dataset.

The steps to find the MAD include:

find the mean (average)
find the difference between each data value and the mean
take the absolute value of each difference
find the mean (average) of these differences

To find the mean absolute deviation of this data $\{9,13,43,55\}$ you must

Step 1: Calculate the mean.

$\:mean=\bar{x}= \frac{9+13+43+55}{4} =\frac{120}{4}=30$

Step 2: Calculate the distance between each data point and the mean and take the absolute value of each difference .

$|9-30|=21\\|13-30|=17\\|43-30|=13\\|55-30|=25$

Step 3: Add the distances together.

$21+17+13+25=76$

Step 4: Divide the sum by the number of data points.

$MAD = \frac{76}{4} =19$

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4 years ago

Three-sevenths of a number is 21. Find the number.

miskamm [114]

Answer:

Step-by-step explanation:

The number is 49, First do 21 / 3 to find what 1/7 of the number is. We get 7, so we know 1/7 is 7 so if we do 7 x 7 we will have 7/7 or one whole and 7x7 is 49. Hope this helps

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3 years ago

Read 2 more answers

An equation that defines y as a function of x is given. a. solve for y in terms of x and

Ymorist [56]

Answer:

f(x) = 2x -2/3
f(3) = 5 1/3

Step-by-step explanation:

We solve an equation for a specific variable by using inverse operations to undo what is done to the variable. The resulting function is evaluated by substituting the given value for the variable.

We are given the equation ...

6x -3y = 2

Solving for y, we get ...

6x -2 = 3y . . . . . add 3y-2 to both sides

2x -2/3 = y . . . . . divide by 3

f(x) = 2x -2/3 . . . . write using functional notation

To find f(3), we use x=3 in the function.

f(3) = 2(3) -2/3 = 6 -2/3

f(3) = 5 1/3

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2 years ago

Write -12 in the improper fraction form.

nydimaria [60]

Answer:

$\frac{-12}{1}$

Step-by-step explanation:

An Improper Fraction has a top number larger than (or equal to) the bottom number.

To convert a whole number -12 into an improper fraction we can divide the whole number by one to turn it into a temporary fraction.

$\frac{-12}{1}$

Also we could multiply and divide -12 by another number greater than one, for example:

$\frac{-12*2}{1*2} = \frac{-24}{2}$

There are several ways we can write -12 in the improper fraction form.

6 0

3 years ago

Musa is 47 years old and Dayo is 22 years old. How many years ago was the product of their ages i.e 836 years.​

Musa is 47 years old and Dayo is 22 years old. How many years ago was the product of their ages i.e 836 years.