All categories

2 years ago

If one gallon of water is approximately 75,000 drops of water, how many gallons is 1 million drops of water

Mathematics

2 answers:

andreev551 [17]2 years ago

6 0

1000000/75000 = 13.33333...

Hatshy [7]2 years ago

4 0

Answer:

Step-by-step explanation:

13x75000=975000

Check for reasonableness...

975000/75000=13

So the answer is 13 gallons.

P.S. There will still be 25,000 drops left, which is 1/3 of a gallon.

You might be interested in

Solve 9≥x+15.<br><br> The solution is ___

Lana71 [14]

Answer: 6

Step-by-step explanation:

15 - 9 = 6 to the quadratics x inequalities formula x b to the power of $\int\limits^a_b {x} \, dx$

4 0

2 years ago

Read 2 more answers

6 >2 k + 4 what does k equal

USPshnik [31]

Answer:

k = anything that is less than 2, so 1, 0, -1, -2, -3, -3 1/4, etc.

Hope that helps!

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Sketch the domain D bounded by y = x^2, y = (1/2)x^2, and y=6x. Use a change of variables with the map x = uv, y = u^2 (for u ?

cluponka [151]

Under the given transformation, the Jacobian and its determinant are

$\begin{cases}x=uv\\y=u^2\end{cases}\implies J=\begin{bmatrix}v&u\\2u&0\end{bmatrix}\implies|\det J|=2u^2$

so that

$\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\iint_{D'}\frac{2u^2}{u^2}\,\mathrm du\,\mathrm dv=2\iint_{D'}\mathrm du\,\mathrm dv$

where $D'$ is the region $D$ transformed into the $u$ - $v$ plane. The remaining integral is the twice the area of $D'$ .

Now, the integral over $D$ is

$\displaystyle\iint_D\frac{\mathrm dx\,\mathrm dy}y=\left\{\int_0^6\int_{x^2/2}^{x^2}+\int_6^{12}\int_{x^2/2}^{6x}\right\}\frac{\mathrm dx\,\mathrm dy}y$

but through the given transformation, the boundary of $D'$ is the set of equations,

$\begin{array}{l}y=x^2\implies u^2=u^2v^2\implies v^2=1\implies v=\pm1\\y=\frac{x^2}2\implies u^2=\frac{u^2v^2}2\implies v^2=2\implies v=\pm\sqrt2\\y=6x\implies u^2=6uv\implies u=6v\end{array}$

We require that $u>0$ , and the last equation tells us that we would also need $v>0$ . This means $1\le v\le\sqrt2$ and $0$ , so that the integral over $D'$ is

$\displaystyle2\iint_{D'}\mathrm du\,\mathrm dv=2\int_1^{\sqrt2}\int_0^{6v}\mathrm du\,\mathrm dv=\boxed6$

4 0

2 years ago

Jack has "Lego pieces that are 8 inches each. If he

IRINA_888 [86]

Answer:

4 2/3

Step-by-step explanation:

8×21=168

168÷36(1 yard in inches)=4 with a remainder of 24

24/36 can both be divided by 12 so its now been reduced to 2/3

6 0

2 years ago

Jack was getting dressed in the dark and needed to get his socks. There were 18 pairs of socks in the drawer: 8 black pairs, 5 b

Scilla [17]

We know that there are total 18 socks, and 3 blue pair
P(picking pairs of blue sock)=
3/18 or 1/6
As a result, the probability that he will pick a pair of blue socks is 1/6. Hope it help!

3 0

2 years ago

Read 2 more answers