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3 years ago

Which expression is

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

3 0

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A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand for

ira [324]

Answer:

1256 cubic yards of sand.

Step-by-step explanation:

In this question we have to find the volume of cone formed by sand.

Height of the cone is = 36 feet

Radius of the cone = 60/2 =30 feet.

Now we know the formula of volume of cone v = π r² (h/3)

By putting the values of r and h we can get the volume of sand to spread.

Volume = π×(30)²×(36/3) = 3.14×900×12 feet³

= 33912 feet³

Now we will convert feet³ to cubic yards

Since 1 cubic feet = .037037 cubic yards

therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.

So the answer is 1256 cubic yards of sand has the department received.

5 0

3 years ago

The width,w, of a rectangular garden is X -2 the area of the garden is X^3-2X-4 what is an expression for the length of the gard

slamgirl [31]

$A=lw \Rightarrow l=\frac{A}{w}$
A - area, l - length, w - width

$w=x-2 \\
A=x^3-2x-4 \\ \\
l=\frac{x^3-2x-4}{x-2}=\frac{x^3-2x^2+2x^2-4x+2x-4}{x-2}=\frac{x^2(x-2)+2x(x-2)+2(x-2)}{x-2}= \\
=\frac{(x^2+2x+2)(x-2)}{x-2}=x^2+2x+2$

The answer is D. x²+2x+2.

3 0

3 years ago

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Find the value of the expression if x=12.<br> 1. 3x

Marizza181 [45]

Answer:

Step-by-step explanation:

X equals 12, substitute X for 12

3(12)=36

3 0

3 years ago

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John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba

Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices : 0 1 2 3 4 5

Probability : 5/18 1/4 1/9 1/18 2/9 1/12

The expected probability is

Expected probability = $\sum_{i=0}^5 x_{i}p(x_i)$

Expected probability = $0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)$

Expected probability = $0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}$

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = $\frac{35}{18}\times 12000=23333.3333333\approx 23333.33$

Therefore, the correct option is B.

3 0

3 years ago

Joan has red and pink hibiscus in groups of 9. She has x groups of red hibiscus and y groups of pink hibiscus. Which expression

svetlana [45]

Well it is where the potatoes farmers is at........sorry i just need point i will help you with a real answer

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3 years ago

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