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3 years ago

Which of the following is the solution to the equation 2 over 3x = 12? (3 points)

1 answer:

4 0

$\dfrac{2}{3x} = 12$

Cross multiply:
$12 \times 3x = 2$

Multiply:
$36x = 2$

Divide both sides by 36:
$x = \dfrac{2}{36}$

Simplify:
$x = \dfrac{1}{18}$

$\boxed {\boxed {\text {Answer : }x = \dfrac{1}{18}}}$

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Hey can someone help me :)

Arada [10]

1.
Convert 22 miles to feet.

1 mile = 5280 feet

22 × 5280 = 116,160 feet

2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....

Since you round the answer would be
2.1 miles per minute

6 0

3 years ago

A recent survey concluded that the proportion of american teenagers who have a cell phone is 0.27. the true population proportio

Jet001 [13]

Answer:

The mean for the sampling distribution of the sample proportion is 0.29

The standard deviation for the sampling distribution of the sample proportion is 0.01435

Step-by-step explanation:

The mean for the sampling distribution of the sample proportion is always equal to the true population proportion, in this case; p = 0.29

The standard deviation for the sampling distribution of the sample proportion is calculated as;

$\sqrt{\frac{p(1-p)}{n} }$

Using the given values;

p = 0.29

1 - p = 0.71

n = 1000

The standard deviation becomes;

$\sqrt{\frac{(0.29)(1-0.29)}{1000} } \\$

The s.d becomes 0.01435

4 0

3 years ago

What is the volume of the following cylinder?

Vika [28.1K]

Volume of a cylinder of radius r and heigth h is
$\pi {r}^{2} h$
Here h is 15 cm and r is 6 cm.

3 0

3 years ago

What is the equation of the circle with center (0, 0) that passes through the point (5, -4)?

Katyanochek1 [597]

The standard form of a circle is $(x-h) ^{2} +(y-k) ^{2} = r^{2}$ where h and k are the center and x and y are the coordinates you're given. We need to solve for the radius to finish this off correctly. Filling in, we have $(5-0) ^{2} +(-4-0) ^{2} = r^{2}$ and $25+16= r^{2}$ , giving us that $r^{2}=41$ . Therefore, our equation is $x^{2} + y^{2} =41$

4 0

3 years ago

Without calculating, which has a bigger volume. A cube that has a length, width, and height of 18 m. Or a sphere with a radius o

Evgesh-ka [11]

Weird. A period appears above this... huh.

Answer:

[Th]e cube has a greater value.

Step-by-step explanation:

What the word problem really wants us to get [is ]the question of 'Which is greater, A=6a^2 when 'a' [is] 18 or A=4 $\pi$ r^2 when r = 9? And here's how to solve that.

Starting with the[ c]ube we have A=6a^2. A bit t[o]o simple, right?

A=6(18)^2 Substitute numbers.

A=6(324) Solve ex[p]onents.

A=1944 Mult[i]ply.

So w[e] know that the cube is 1944 meters cube[d ] in area. But what about the more [f]ormidable sphere? Fo[r] it we need a slightly m[o]re co[m]plicated formula, A=4 $\pi$ r^2. However, instead of using the real pi I will be rounding to 3.14, since we have no calculator so anything more would take way too long and fry your[ bra]in.

A=4(3.14)(9)^2 Subst[i]tute numbers.

A=4(3.14)(81) Solve expone[n]ts.

A=12.56(81) Multip[ly].

A=1017.36 Multiply again[.]

Now, since I'm sure all of us can count, we know that 1944 is greater than 1017.36. Or in other words, the cube is bigger than the sphere.

And PLEASE don't copy this guys. Make your own iteration. Change it up!

3 0

3 years ago