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3 years ago

X plus three and one sixth equals one and five sixths

1 answer:

4 0

X + 3 1/6 = 1 5/6

*subtract 3 1/6 from both sides

x = 1 5/6 - 3 1/6

x = 11/6 - 19/6

x = -8/6

x = -1 2/6

x = -1 1/3

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I am totally stuck on this problem please help

Nonamiya [84]

V solid = π * $5^{2}$ * 13 / 3 + π * $5^{2}$ * 2 = 3.14 * 25 *13 / 3 + 3.14 * 50 = 340.16 + 157 = 497.16 ≈ 497.20 cubic centimeters;

3 0

3 years ago

What is the porosity of the gravel sample?(The sediment volume for each sample is 400ml. ) a. 23. 75% b. 28. 75% c. 55. 75% d. 8

Anna [14]

The porosity of the gravel sample is 28.75%

We have to determine.

What is the porosity of the gravel sample?

<h3>The porosity of the gravel sample;</h3>

Porosity is the term which is defined as the volume of voids present in the soil to the total volume of the soil.

The formula used to calculate the Porosity is;

$\rm Porosity =\dfrac{Volume \ of \ voids \ present \ in soil}{Volume \ of \ soil}$

A sponge is a case of a permeable fabric because it incorporates a huge number of purge spaces compared to its volume.

Porosity is the property of a question that communicates the entire volume of purge or pore space within the material.

Hence, the porosity of the gravel sample is 28.75%

Learn more about "porosity" :

brainly.com/question/2593663

4 0

2 years ago

A paper company needs to ship paper to a large printing business. The paper will be

Kryger [21]

Answer:

x = 8

y = 11

Step-by-step explanation:

Total small box weight = 50x [x being the number of small boxes]

Total large box weight = 80y [y being the number of large boxes]

Total boxes = x+y = 19

Total weight = 1280

Determine x and y.

You know 2 equations. One for weight and another for number of boxes each.

1280 = 50x +80y
x+y = 19

Rewrite second equation:

x+y=19

y=19-x

You have to plug in one into another.

1280 = 50x + 80(19-x)

Solve for x

1280 = 50x + 1520 - 80x

-240 = -30x

x = 8

Solve for y by plugging in x into one of the equations:

8+y = 19

y = 11

5 0

2 years ago

1) Find the mean of the following numbers: 5, 11, 8, 8, 7, 4, 10, 9, 7, 7, 6

SashulF [63]

Mean = 5+11+8+8+7+4+10+9+7+7+6 divided by the number of observations which is 10

Therefore, mean = 73/10
Mean = 7.3

4 0

3 years ago

Find dx/dt when y=2 and dy/dt=1, given that x^4=8y^5-240 dx/dt=

katrin2010 [14]

Answer:

The value of $\frac{dx}{dt}$ is $\frac{160}{x^3}$ .

Step-by-step explanation:

The given equation is

$x^4=8y^5-240$

We need to find the value of $\frac{dx}{dt}$ .

Differentiate with respect to t.

$4x^3\frac{dx}{dt}=8(5y^4)\frac{dy}{dt}-0$ $[\because \frac{d}{dx}x^n=nx^{n-1},\frac{d}{dx}C=0]$

$4x^3\frac{dx}{dt}=40y^4\frac{dy}{dt}$

It is given that y=2 and dy/dt=1, substitute these values in the above equation.

$4x^3\frac{dx}{dt}=40(2)^4(1)$

$4x^3\frac{dx}{dt}=40(16)(1)$

$4x^3\frac{dx}{dt}=640$

Divide both sides by 4x³.

$\frac{dx}{dt}=\frac{640}{4x^3}$

$\frac{dx}{dt}=\frac{160}{x^3}$

Therefore the value of $\frac{dx}{dt}$ is $\frac{160}{x^3}$ .

4 0

3 years ago