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3 years ago

What is the reason for each strip on the solution of the equation?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

$2x = -4(x-3)$

Applying Distributive property a(b+c)=ab+ac

$2x=-4x+12$

Now, Applying addition property of equality:

Adding +4x on both sides

$2x+4x=-4x+12+4x\\6x=12$

Now, Applying Division property of Equality:

Divide both sides by 6:

$\frac{6x}{6}=\frac{12}{6}\\x=2$

So, Answer will be:

Step 1: Given

Step 2: Distributive Property

Step 3: Addition Property of Equality

Step 4: Division Property of Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

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Evaluate the expression 15x + 4 for x = -1 1/2

olga_2 [115]

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

5 0

3 years ago

Show that in any group of people, two of them have the same number of friends in the group. (Some important assumptions here: no

julsineya [31]

Answer:

Step-by-step explanation:

Let us assume there are n people in the group. If possible let each have different number of friends.

Number of friends can vary from 0 to n-1 only since no one is a friend of him- or herself, and friendship is symmetrical—if x is a friend of y then y is a friend of x.)

Now n people have friends as 0,1,2...n-1 such that each has distinct number of friends.

But say if A has 0 friends, it means A has no friend,

but there is one B who has n-1 friends i.e. all the others in the party are friends to him including A

This is a contradiction. So it follows in any group of people, two of them have the same number of friends in the group.

6 0

3 years ago

Multiply: (2x2 − 5x)(4x2 − 12x + 10)

Leya [2.2K]

The answer is 60x^2 - 138x + 72

Hope this helps!

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3 years ago

Read 2 more answers

125% of a number is 425, what is 65% of the number

jenyasd209 [6]

125/100 = 425/x. first find x. so multiply both sides by 100
so 125=42500/x. now multiply both sides by x
so 125x=42500. divide both sides by 125
so x=340. now, find 65% of 340. to find this, we set up the proportion (like the previous one) 65/100=x/340
we multiply both sides by 100
so 65=100x/340
multiply both sides by 340
so 22100=100x
divide both sides by 100
so x = 221
which is 65% of the number

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3 years ago

Paint is to be mixed so that the ratio of red paint to white paint is 3 to 2. If Ben wants to make 30 cans of the mixture and al

andreyandreev [35.5K]

Answer:

3 parts red to 2 parts white......3:2...added = 5

red : 3/5(30) =18 cans red paint

white : 2/5(30) = 12 cans white paint

6 0

3 years ago