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Afina-wow [57]
3 years ago
12

Indicate whether x and y show direct variation. 3 + y = 5x

Mathematics
1 answer:
dolphi86 [110]3 years ago
7 0

Answer:

Let's understand the solution in detail.

Explanation:

Given: 5x = 3y

We can rearrange it as y = 5x / 3

Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.

Here k = 5 / 3.

Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.

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HELP I NEED BOTH OF THESE QUESTIONS ANSWERD AND GRAPHED ON A PAPER for 20 POINTS ! Will Mark u brainlist
irakobra [83]

Answer:

1 (-4,5), (-2,1) (2,2) (5,5)

2 (0,1) (-4,3) (-4,1)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
(a) Write 7.97 x 10 ^-6 as an ordinary number.
Vaselesa [24]

Answer:

0.00000797

Step-by-step explanation:

3 0
1 year ago
A cylindrical bucket is being filled with paint at a rate of 4 cm3 per minute. How fast is the level rising when the bucket star
andre [41]

Answer:

Therefore,the level of paint is rising when the bucket starts to overflow at a rate  \frac{1}{100\pi} cm per minute.

Step-by-step explanation:

Given that, at a rate 4 cm³ per minute,a cylinder bucket is being filled with paint

It means the change of volume of paint in the cylinder is 4 cm³ per minutes.

i.e \frac{dV}{dt}= 4 cm³ per minutes.

The radius of the cylinder is 20 cm which is constant with respect to time.

But the level of paint is rising with respect to time.

Let the level of paint be h at a time t.

The volume of the paint at a time t is

V=\pi r^2 h

\Rightarrow V=\pi (20)^2h

\Rightarrow V=400\pi h

Differentiating with respect to t

\frac{dV}{dt}=400\pi \times \frac{dh}{dt}

Now putting the value of \frac{dV}{dt}

\Rightarrow 4=400\pi \frac{dh}{dt}

\Rightarrow \frac{dh}{dt}=\frac{4}{400\pi}

\Rightarrow \frac{dh}{dt}=\frac{1}{100\pi}

To find the rate of the level of paint is rising when the bucket starts to overflow i.e at the instant h= 70 cm.

\left \frac{dh}{dt}\right|_{h=70}=\frac{1}{100\pi}

Therefore, the level of paint is rising when the bucket starts to overflow at a rate \frac{1}{100\pi} cm per minute.

4 0
3 years ago
The amount of water flowing into a tank doubles every minute. The tank if full in an hour. When is the tank half full.
Annette [7]
Since the water in the tank is doubling each minute, that means the minute before the tank was full, it was half full.
If it fills in an hour, which is 60 minutes, than that is double what it was 1 minute ago.

The invert of doubling is halving.
The tank was half full a minute before it was full.
It was full after 60 minutes.
This means it was half full after 59 minutes.

Answer:
The tank was half full after 59 minutes.

Hope this helps!
7 0
4 years ago
Find the perimeter of the rectangle? 3cm 6cm
elena-s [515]

Answer:

2*l+b

Step-by-step explanation:

2*3+6

18

mark me the brainliest

7 0
3 years ago
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