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2 years ago

A contractor is adding 243 CY backfill. If each truck can hold 162 CF, how many truck loads are needed

Mathematics

1 answer:

nexus9112 [7]2 years ago

4 0

The number of trucks needed is an illustration of rates

The number of trucks needed is 42

<h3>How to determine the number of trucks</h3>

The size of the backfill is given as: 243 CY

A truck can load up to 162 CF

So, the number of trucks needed is calculated as:

$n = \frac{243 CY}{162 CF}$

Convert CY to CF

$n = \frac{243 * 27CF}{162 CF}$

Solve

$n = 40.5$

Approximate

$n = 41$

Hence, 41 trucks are needed

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Show all work to identify the asymptotes and state the end behavior of the function f(x)=3x/x-9

lorasvet [3.4K]

Using the asymptote concept, we have that:

The vertical asymptote is x = 9.

The horizontal asymptote is y = 3.

The end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$f(x) = \frac{3x}{x - 9}$

For the vertical asymptote, we have that:

x - 9 = 0 -> x = 9.

For the horizontal asymptote:

$y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{3x}{x - 9} = \lim_{x \rightarrow \infty} \frac{3x}{x} = \lim_{x \rightarrow \infty} 3 = 3$

Hence, the end behavior is that as $x \rightarrow \infty, y \rightarrow 3$ .

More can be learned about asymptotes at brainly.com/question/16948935

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2 years ago

I need the answer and the work (it’s geometry)

Kisachek [45]

Answer:

Step-by-step explanation:

The starting point is B and the ray extends towards A.

So the asnwer is D.

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4 years ago

I don't understand how to find the area of a circle

Liula [17]

You have to find out the radius of the circle so u have to find it in the middle of the circle

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3 years ago

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Alla [95]

Answers: choice C and choice E

Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.

If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.

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3 years ago

What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an

fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.
Use V = Bh to find the volume of the prism.
Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

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2 years ago