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3 years ago

For a new neighborhood, 4.64 acres of land will be split into 16 lots. If split equally, how many acres of land will each have?

Mathematics

1 answer:

Greeley [361]3 years ago

7 0

Answer: .29 acres
Explanation: Your equation would be 4.64/16. When you divide the two numbers you get .29 acres.

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Solve for x. x + 3 = 10

ICE Princess25 [194]

Answer:x=7

Step-by-step explanation:

X+3=10

-3 -3

X=7

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3 years ago

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Solve for v -17= 3v - 2 simplify your answer as much as possible

Alika [10]

Answer:

v = -7.5

Step-by-step explanation:

Step 1: Subtract 3v from both sides.

v-17 − 3v = 3v−2 −3v

−2v−17=−2

Step 2: Add 17 to both sides.

−2v−17+17=−2+17

−2v=15

Step 3: Divide both sides by -2.

-2v/2 = 15/2

v = -15/2

v = -7.5

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tangare [24]

Answer:

Step-by-step explanation:

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2 years ago

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Factorise 9w² - 100

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

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2 years ago

Help plsss thank youuuu

MArishka [77]

Answer:

A. (x+5)

Step-by-step explanation:

We are given a quadratic expression $x^2+8x+15$ which we will factorize to see which of the given options is a binomial factor of it.

$x^2+8x+15$

Finding the factors of 15 such that when added, they give a result of 8.

$x^2+3x+5x+15\\\\x(x+3)+5(x+3)\\\\(x+3)(x+5)$

Therefore, we can see that $(x+5)$ is that binomial factor that is present in the given options so option A. (x+5) is the correct answer.

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