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3 years ago

Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

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Rick's lumberyard has 360 yd of fencing with which to enclose a rectangular area. If the enclosed area is x yards long, express

cestrela7 [59]

Answer:

180x - x²

Step-by-step explanation:

Since the yard has 360 yd. of fencing, hence the perimeter of Rick's lumberyard has 360 yd.

Given that the yard is x yards long. Let y represent the width of the yard. Hence:

Perimeter of the yard = 2(length + width) = 2(x + y)

Substituting:

360 = 2(x + y)

180 = x + y

y = 180 - x

Therefore the width of the yard is (180 - x) yard.

The area of the yard is the product of the length and the width, hence:

Area (A) = length * width

A = x * (180 - x)

A = 180x - x²

3 0

3 years ago

What is the correct answer for this equation here?<br>3(4x – 7) = 135

S_A_V [24]

Answer:

x=13

Step-by-step explanation:

1. divide both sides by 3

2. simplify: 4x-7=45

3. add 7 to both sides

4. 4x=52

5. divide both sides by 4

6. x=13

7 0

4 years ago

Which phrase describes an unknown or changeable quantity?

deff fn [24]

You haven't put the Phrases. Comment them on this and i will answer you.

3 0

4 years ago

suppose x is a non-negative integer valued random variable which follows a probability distribution such that p x=0 = 06 and for

Andre45 [30]

Not sure if the given probability that $X=0$ is 0.06 or 0.6, or something else altogether. I'll just refer to it by the number $p$ .

$\begin{cases}P(X=0)=p\\P(X=i+1)=\frac15P(X=i)&\text{for }i\ge1\end{cases}$

As is, the probability that $X=1$ is indeterminate, so I think you intended to write

$\begin{cases}P(X=0)=p\\P(X=i+1)=\frac15P(X=i)&\text{for }i\ge\boxed{0}\end{cases}$

Then by this definition,

$i=0\implies P(X=1)=\dfrac15P(X=0)=\dfrac p5$

$i=1\implies P(X=2)=\dfrac15P(X=1)=\dfrac p{5^2}$

and so on.

Then

$\boxed{P(X\le2)=P(X=0)+P(X=1)+P(X=2)=p+\dfrac p5+\dfrac p{5^2}=\dfrac{31p}{25}}$

6 0

4 years ago

What is the best description of a food chain?

lakkis [162]

Answer:

the transfer of energy from one organism to another

Step-by-step explanation:

5 0

3 years ago