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3 years ago

There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9?

Mathematics

1 answer:

maria [59]3 years ago

3 0

For example, y = k/x; when x = 3 => k = 3y; when y = 9 => k = 27 and x = 27/9 = 3;
The answer is 3!

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Help me answer the question

Nastasia [14]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Revathi's age is 1/3 of her mother's age. If their difference in age is 24 years, find Revathi's age.

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Given,

Mother's age = x
Revathi's age = 1/3 x = ?
Difference in their age = 24 years ⇨ x - 1/3 x = 24.

Now, let's solve this question using the above equation which we just formed.

$\sf \: x - \frac{1}{3}x = 24 \\$

Combine x and $\sf\:-\frac{1}{3}x$ to get $\sf\frac{2}{3}x$ .

$\sf\frac{2}{3}x=24 \\$

Multiply both sides by $\sf\frac{3}{2}$ , the reciprocal of $\sf\frac{2}{3}$ .

$\sf \: x=24\times \left(\frac{3}{2}\right)$

Express $\sf24\times \left(\frac{3}{2}\right)$ as a single fraction.

$\sf \: x=\frac{24\times 3}{2} \\$

Multiply 24 and 3 to get 72.

$\sf \: x=\frac{72}{2} \\$

Divide 72 by 2 to get 36.

$\boxed{ \bf \: x=36 }$

We now have the age of Revathi's mother (x) = 36 years. Now, let's find Revathi's age ⇨ $\sf\:(\frac{1}{3}x)$

$\rightarrow \sf \: \frac{1}{3} x \\ \rightarrow \sf \: \frac{1}{3} \times 36 \\ \rightarrow \sf \: \frac{1}{ \bcancel 3} \times \bcancel{36} \\ \rightarrow \sf \:1 \times 12 \\ = \boxed{\boxed{\bf \: 12}}$

So, Revathi is 12 years old.

6 0

2 years ago

Read 2 more answers

15 POINTS I need help asp

Mashutka [201]

Answer: 90

Step-by-step explanation: if you subtract 35 from 125 you will get 90, which is your answer.

3 0

3 years ago

Can someone help me? - will mark as best brain if you help me out (//^.^//)

wariber [46]

Answer:

1- Circumference: 43.96 Area: 153.86

2- Circumference: 69.08 Area: 379.94

3- Circumference: 40.82 Area: 132.67

4- Circumference: 28.26 Area: 63.59

5- Circumference: 57.78 Area: 265.77

3 0

2 years ago

Read 2 more answers

Tommy waves 45 kg Jamil Woods 53 kg what is the combined weight of the two boys in grams?

Nikolay [14]

Answer:

109,000

Step-by-step explanation:

1kg = 1000g

45 + 63 = 109

109 x 1000 = 109000

5 0

2 years ago

-5(2b + 7) + b < -b - 11

Stells [14]

-5(2b+7) + b < -b - 11
-10b - 35 + b < -b - 11

- 10b + b - 35 < -b - 11

-9b - 35 < -b - 11

- 9b + b < - 11 + 35

-8b < 24

 $\frac{-8b}{-8} \ \textless \ \frac{24}{-8}$

b < -3

Have a nice days.........

8 0

3 years ago