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astra-53 [7]
3 years ago
8

The variables x and y very directly. Use the values to find the constant of proportionality K then write equation that relates t

o x and y. Write any fraction in simplest form. Y equals 20 and X equals 12
Mathematics
1 answer:
lesya [120]3 years ago
4 0

Answer:

k=5/3

Step-by-step explanation:

The variables x and y vary directly. Given that, y = 20 and x = 12

We can write it as :

y=kx

Where k is constant of proportionality

Put the values of x and y

20=12k

k = 20/12

k = 5/3

So, the value of the constant of proportionality is 5/3.

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The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected
Virty [35]

Answer: a 470

Step-by-step explanation:

The exponential growth equation with rate of growth r in time period t is given by :-

y=A(1+r)^t, where A is the initial amount

Given : The rate of growth of population every year : 0.9% =0.009

The initial population = 430

Then , the exponential growth equation in time period t is given by :-

y=430(1+0.009)^t

In 2010 or for t= 10 years

The projected population of the town will be :-

y=430(1.009)^{10}=470.305565305\approx470

Hence, the projected population of the town in 2010 is about 470.

4 0
3 years ago
Solve for x. 2x/3 = 12
OlgaM077 [116]
2x/3=12

First, multiply 3 by both sides

2x=36

Now divide 2 by both sides

x= 18
8 0
3 years ago
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Determine the value of x if the mode is 18
chubhunter [2.5K]
Nobody can solve this without any further information?
8 0
2 years ago
Freyda has a circular rug with a radius of 120 centimeters. The fringe on the outside edge of the rug needs to be replaced. What
Gnom [1K]

Answer:

The Fringe of the rug is 754 cm.

Step-by-step explanation:

Given:

radius = 120 cm

We need to find the fringe of the outside rug.

Solution:

Since the rug is in the circular form.

We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.

Then we will find the Circumference of the circle.

Circumference of the circle is given 2 times 'π' times radius 'r'.

framing in equation form we get;

Circumference of the circle = 2\pi r

Circumference of the circle = 2 \times \pi \times 120 = 753.98 \approx 754\ cm

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8 0
3 years ago
12+b=<br> 26<br> Solve by using substitution
iren [92.7K]

Answer:

14

Step-by-step explanation:

12+b=26

b=26-12

b=14

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3 years ago
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