All categories

2 years ago

If y varies inversely as x, and y = 23 when x 8, find y when x 4.

Mathematics

1 answer:

Virty [35]2 years ago

7 0

Answer:

y = 46

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

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

To find k use the condition y = 23 when x = 8 , then

23 = $\frac{k}{8}$ ( multiply both sides by 8 )

184 = k

y = $\frac{184}{x}$ ← equation of variation

When x = 4 , then

y = $\frac{184}{4}$ = 46

You might be interested in

Are all horizontal lines parallel

miskamm [114]

By definition, lines are parallel if they have the same gradient (slope). Any horizontal line has a gradient of 0, so it is parallel to any other horizontal line

7 0

3 years ago

Draw a number line and mark all described points. 3x<8

Leya [2.2K]

3x8 is 24 hopefully this is helpful

7 0

3 years ago

Read 2 more answers

2.072539 rounded to the nearest hundredth

zalisa [80]

Answer:

2.07

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If the answer is 5 why isn't 5 an option?

jonny [76]

Answer:

because they made a mistake

8 0

2 years ago

each time kim pour water from a jug into a glass, exactly 10% of the water remaining in the jug is used. What is the minimum num

Gnoma [55]

The correct answer is:

At least 7 times.

Explanation:

Since 10% of the water in the jug is removed each time, this means that 100-10=90% of the water remains.

After two times, we would have 0.9(0.9) = 0.81 = 81% of the water; each time she pours, the number of times 0.9 is multiplied by itself changes. This makes this an exponential inequality (it is not an equation, as we want "less than half of the water"):

$0.5 < 0.9^x$

To solve this, we will use logarithms:

$\log_{0.9}(0.5)$

4 0

3 years ago