All categories

3 years ago

Y is inversely proportional to x.

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

Given that y is inversely proportional to x then the equation relating them is

y = $\frac{k}{x}$ ← k is the constant of proportionality

To find k use the condition that y = 7, x = 9

k = yx = 7 × 9 = 63, thus

y = $\frac{63}{x}$ ← equation of proportion

When x = 21, then

y = $\frac{63}{21}$ = 3

You might be interested in

Select whether each statement shows an example of the

xz_007 [3.2K]

1.no should b 8x + 20
2.no should be 21x + 14
3.yes
3.yes

4 0

3 years ago

Read 2 more answers

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$

The speed at which distance is increasing between the two boats is given as:

$\dfrac{47.17}{2.5} \approx 18.87\ km/hr$

4 0

3 years ago

The Johnson family went to the Olive Garden. The total was $73.28. If they leave a 20% tip, how much

zlopas [31]

Answer:

14.6

Explanation:

It's pretty simple if you use a calculator, have a nice day and good luck with your work! <3

3 0

3 years ago

When you put yourself into someone else's shoes, you are showing:

hjlf

i would say perspective

4 0

3 years ago

Read 2 more answers

Pls somone tell<br> Me the answer plzzzz

Minchanka [31]

Answer:

POSITIVE

Step-by-step explanation:

Because the product of 2 negative numbers is a positive number

8 0

3 years ago

Read 2 more answers