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2 years ago

Suppose that y varies inversely with x. write an equation for the inverse variation.y = 2 when x = 3

Mathematics

1 answer:

erastova [34]2 years ago

7 0

For inverse variation:
y = k/x
2 = k/3
k = 6

Therefore, required equation is y = 6/x

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antoniya [11.8K]

Answer:

1,3,5

Step-by-step explanation:

81 is a perfect square so it can be written as an integer

11.8 is rational because it can be written as a fraction (107/9)

sqrt(6) isn't a perfect square so it is irrational

3/7 is a fraction so it is rational

8.57 is a terminating decimal so it is rational

7 0

2 years ago

find the volume of the cone. either enter exact answer in terms of pi or use 3.14 for pi and round your final answer to the near

SCORPION-xisa [38]

Answer:

$6\pi u^3 = 18.8u^3$

Step-by-step explanation:

the information we have is:

the radius of the circle in the base: $r=3u$ (u for units)

and the height of the cone: $h=2u$

to find the volume we need the formula for the volume of a cone:

$V=\frac{\pi r^2h}{3}$

where r is the radius and h is the height.

Substituting the known values to find the volume:

$V=\frac{\pi (3u)^2(2u)}{3} \\\\V=\frac{\pi (9u^2)(2u)}{3}\\ \\V=\frac{18\pi u^3}{3}\\ \\V=6\pi u^3$

the volume in terms of $\pi$ is $6\pi u^3$

and if we substitute the value of pi: $\pi=3.14$ we get:

$V=6(3.14)u^3\\V=18.8u^3$

5 0

3 years ago

Read 2 more answers

The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is

Naily [24]

Perimeter = 2L + 2w
in this case, L = 3w - 2 and perimeter = 28.
so, 28 = 2L + 2w. or 14 = L + w. or substitute for L: (3w - 2) +w =14
or 4w - 2 = 14. 4w = 12. 12/4 = 3 = w.
The width = 3 inches; and the length = (3x3 -2) 7 inches.

6 0

2 years ago

A circular garden has a circumference of 88 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7

ankoles [38]

Answer:

It will take 4 hours to dig in the garden

Step-by-step explanation:

First we have to calculate the diameter, for this we will use the formula to calculate the circumference of a circle and we will clear the diameter

d = diameter

π = 3.14

c = circumference

c = π * d

d = c / π

d = 88yd / 3.14

d = 28.025yd

round to the nearest whole number

28.025 = 28

d = 28yd

To know how many hours it takes, we divide the diameter by the speed

t = time

v = velocity

t = d / v

t = (28yd) / (7yd/h)

t = 4h

It will take 4 hours to dig in the garden

4 0

3 years ago

The double number line shows that 444 bottles of water cost 101010 dollars at a music festival. Based on the ratio shown in the

MrRissso [65]

Answer:

Please see the attachment for double number line.

Explanation:

We are given cost of 4 water bottles is $10

We can write ,

Cost of 4 bottles = $10

Cost of 1 bottle = $2.5

Cost of 2 bottles =$5

Cost of 3 bottles = $3\times 2.5$ = $7.5

Cost of n bottles = $2.5n

Now we draw the double number line.

Bottom line(Line 1) will take as number of bottles:

1 2 3 4 5 6

Above line (Line 2) will show the cost of corresponding number of bottles:

2.5 5 7.5 10 12.5 15

4 0

2 years ago

Read 2 more answers