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2 years ago

Suppose y varies directly as x, and y=2 when x=4. Which of the following statements is true?

Mathematics

2 answers:

jenyasd209 [6]2 years ago

3 0

Answer:

constant of variation = $\frac{1}{2}$

Step-by-step explanation:

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

y = kx ← k is the constant of variation

To find k use the condition y = 2 when x = 4

k = $\frac{y}{x}$ = $\frac{2}{4}$ = $\frac{1}{2}$

Airida [17]2 years ago

3 0

Answer:

The constant of variation is 1/2.

Step-by-step explanation:

y = kx where k is the constant of variation.

So k = y/x = 2/4 = 1/2.

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There are two formulas that can be used to find the volume of a rectangular prism. Find the volume using both formulas.

Rina8888 [55]

Answer:

Volume = $\frac{1}{8}$ cubic units.

Step-by-step explanation:

The volume of a rectangular prism is given by,

$V = (\textrm {Length}) \times (\textrm {Width}) \times (\textrm {Height})$ .......... (1) and

$V = (\textrm {Base Area})\times (\textrm {Height})$ .......... (2)

Now, the length of the given prism is $\frac{1}{2}$ units, width is $\frac{1}{2}$ units and the height is $\frac{1}{2}$ units.

So. from equation (1) the volume, V = $(\frac{1}{2}) \times (\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{8}$ cubic units.

Now, base area = B = $(\frac{1}{2}) \times (\frac{1}{2}) = \frac{1}{4}$ sq. units.

So, from equation (2) we get

$V = (\frac{1}{4}) \times (\frac{1}{2}) = \frac{1}{8}$ cubic units. (Answer)

4 0

2 years ago

Is 43/10 an irrational number or rational number ?

RideAnS [48]

Answer:

Rational

Step-by-step explanation:

The definition of rational is that it can be written as a fraction where the top and bottom are integers (the bottom integer not 0).

43/10 is written in that form since 43 and 10 are both integers.

5 0

3 years ago

According to the given Information, AB II DC and BC II AD . Using a straightedge, extend segment AB and place point P above poin

Novay_Z [31]

Angles ABC and CDA are accurate

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3 years ago

The population of MeadowView is increasing at a rate of

bija089 [108]

Answer:

The population will be 3800 in four years

Step-by-step explanation:

2500 + 325(4)

2500 + 1300

3800

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2 years ago

What is 36.993 to the nearest thousandth

finlep [7]

The next larger thousandth is 36.994 .
The next smaller thousandth is 36.992 .
Neither of those is any nearer to 36.993
than 36.993 already is.

The last '3' at the end of 36.993 is in the thousandths' place.
There is no more piece of another thousandth after it.
So 36.993 is already on a complete thousandth, and
there's no rounding required.

7 0

3 years ago