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1 year ago

Consider the equation showing the distributive property 84+93=3(28+□)

Mathematics

1 answer:

arlik [135]1 year ago

4 0

Distributive property

We have that the distributive property states that the multiplication is done for all the terms inside the parenthesis. Then we have:

Since

3 · 28 = 84

and

3 · □ = 93

Since 3 · 31 = 93, then

□ = 31

<h2>Answer: 31</h2>

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8 more than a number

Anuta_ua [19.1K]

Answer:

$\boxed{ 8 + x}$

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

3 0

3 years ago

Read 2 more answers

2x – 1 = y + 4 3y +1 = 3х – 2

ehidna [41]

Answer:x=4 y=3

Step-by-step explanation:

Let's solve your system by substitution.

2x−1=y+4;3y+1=3x−2

Step: Solve2x−1=y+4for y:

2x−1=y+4

2x−1+−y=y+4+−y(Add -y to both sides)

2x−y−1=4

2x−y−1+−2x=4+−2x(Add -2x to both sides)

−y−1=−2x+4

−y−1+1=−2x+4+1(Add 1 to both sides)

−y=−2x+5

−y

−1

−2x+5

−1

(Divide both sides by -1)

y=2x−5

Step: Substitute2x−5foryin3y+1=3x−2:

3y+1=3x−2

3(2x−5)+1=3x−2

6x−14=3x−2(Simplify both sides of the equation)

6x−14+−3x=3x−2+−3x(Add -3x to both sides)

3x−14=−2

3x−14+14=−2+14(Add 14 to both sides)

3x=12

(Divide both sides by 3)

x=4

Step: Substitute4forxiny=2x−5:

y=2x−5

y=(2)(4)−5

y=3(Simplify both sides of the equation)

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3 years ago

According to the Shannon Diversity Index, which of the five blocks above, with each containing 36 squares, would show the greate

Sladkaya [172]

Answer:

Block 5

Step-by-step explanation:

The Shannon Diversity Index rewards larger numbers of species and more even distribution of species. On the face of it, Block 5, with its uniform distribution among 4 species, should have the highest index. When we do the calculation, we find this is the case. (see attachments)

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The SDI is the negative of the total of the products of relative frequency and the natural log of that relative frequency.