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Nitella [24]
3 years ago
11

Hi! I know this is not the correct way to ask a question, but may someone explain how to do the Division Property of Equality an

d the Multiplication Property of Equality? ​
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

Step-by-step explanation:

So the division property states that if both sides of an equation are equal and whenever you divide both sides of that equation by the same number they should stay equal. Example

12=12 right? so if I divide both 12 and 12 by 3 I should get 3=3

We use this to solve for variable such as x

So new example lets take

5x=25

Since both sides are equal I can divide by the same number and should get an equal number right? So lets divide by 5 on both sides. 5x divided by 5 equals x and 25 divided by 5 equals 5 so my new equation is

x equals 5 or x=5.

If I plug my x=5 back into the equation they should be equal so lets see...

5(5)=25

25=25

And it checks out :)

You might be interested in
Please help with #12
ExtremeBDS [4]

Answer:

a. 1 1/8 b. 8/9

Step-by-step explanation:

You can set this up as a proportion to solve.  For part a. we know that 2/3 of the road is 3/4 mile long.  2/3 + 1/3 = the whole road, so we need how many miles of the road is 1/3 its length.  Set up the proportion like this:

\frac{\frac{2}{3} }{\frac{3}{4} } =\frac{\frac{1}{3} }{x}

Cross multiplying gives you:

\frac{2}{3}x=\frac{1}{3}*\frac{3}{4}

The 3's on the right cancel out nicely, leaving you with

\frac{2}{3}x=\frac{1}{4}

To solve for x, multiply both sides by 3/2:

\frac{3}{2}*\frac{2}{3}x=\frac{1}{4}*\frac{3}{2} gives you

x=\frac{3}{8}

That means that the road is still missing 3/8 of a mile til it's finished.  The length of the road is found by adding the 3/4 to the 3/8:

\frac{3}{4}+\frac{3}{8}=\frac{6}{8}+\frac{3}{8}=\frac{9}{8}

So the road is a total of 1 1/8 miles long.

For b. we need to find out how much of 1 1/8 is 1 mile:

1 mile = x * 9/8 and

x = 8/9.  When 1 mile of the road is completed, that is 8/9 of the total length of the road completed.

8 0
3 years ago
F(x)=3x+10x and g(x)=2x-4, find (f+g)(x)
djyliett [7]

Answer:

15x - 4

Step-by-step explanation:

Add both of the equations together.

f(x) + g(x)

(3x + 10x) + (2x -4)

Then, combine like terms

3x + 2x + 10x = 15x

15x - 4

8 0
3 years ago
Read 2 more answers
Some help plz Thanks.​
AlexFokin [52]

Answer:

4

Step-by-step explanation: 4/1

5 0
2 years ago
Read 2 more answers
0.2(6x+1)/3.6=0.5x/9
Zinaida [17]

0.2(6x+1)/3.6=0.5x/9

Solution

(1.2x + 0.2)/3.6 = 0.5x/9

Cross multiplying, we get

9(1.2x + 0.2) = 3.6 * 0.5x

10.8x + 1.8 = 1.8x

10.8x - 1,8x = -1.8

9x = -1.8

Dividing both sides by 9, we get

x = - 0.2

That's the answer.

Thank you.

5 0
3 years ago
Which expression is equivalent to the following complex fraction? X+5/x+2-x+1/x^2+2x
ICE Princess25 [194]

Answer:

Final answer will be the choice which matches best with expression

\frac{x^2+4x-1}{x\left(x+2\right)} or

\frac{x^2+4x-1}{x^2+2x}


Step-by-step explanation:

Given expression is:

\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{\left(x^2+2x\right)}

We begin by factoring denominators:

=\frac{\left(x+5\right)}{\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}

Multiply and divide first term by (x) to make denominators equal.

=\frac{x\left(x+5\right)}{x\left(x+2\right)}-\frac{\left(x+1\right)}{x\left(x+2\right)}

Since denominators are equal so we can combine numerators.

=\frac{x\left(x+5\right)-\left(x+1\right)}{x\left(x+2\right)}

Now simplify

=\frac{x^2+5x-x-1}{x\left(x+2\right)}


=\frac{x^2+4x-1}{x\left(x+2\right)}


=\frac{x^2+4x-1}{x^2+2x}

Hence final answer will be the choice which matches best with expression

\frac{x^2+4x-1}{x\left(x+2\right)} or

\frac{x^2+4x-1}{x^2+2x}


7 0
3 years ago
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