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3 years ago

Using the Multiplication Property of -1

Mathematics

1 answer:

Papessa [141]3 years ago

7 0

A. -(a+5)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(a+5) * -1 = a+5

B. -(-x+31)

Apply the distributive property:

-(-x+31) becomes (- -x +31) which simplifies to (x+31)

multiply that by -1 to get -x+31

C. -(4x+12)

Because the negative sign is outside the parenthesis, multiplying by -1 just removes the negative sign:

-(4x+12) * -1 = 4x+12

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One container is filled with mixture that is 25% acid. A second container is filled with a mixture that is 55% acid. The second

algol13

Answer:

Therefore the third container contains $\frac{735}{17}\%$ = 43.23 % acid.

Step-by-step explanation:

Given that, One container is filled with the mixture that 25% acid. 55% acid is contain by second container.

Let the volume of first container be x cubic unit.

Since the volume of second container is 55% larger than the first.

Then the volume of the second container is

$= (V\times \frac{100+55}{100})$ cubic unit.

$=\frac{155}{100}V$ cubic unit.

The amount of acid in first container is

$=V\times \frac{25}{100}$ cubic unit.

$=\frac{25}{100}V$ cubic unit.

The amount of acid in second container is

$=(\frac{155}{100}V \times \frac{55}{100})$ cubic unit.

$=\frac{8525}{10000}V$ cubic unit.

Total amount of acid $=(\frac{25}{100}V+\frac{8525}{10000}V)$ cubic unit.

$=(\frac{2500+8525}{10000}V)$ cubic unit.

$=(\frac{11025}{10000}V)$ cubic unit.

Total volume of mixture $=(V+\frac{155}{100}V)$ cubic unit.

$=\frac{100+155}{100}V$ cubic unit.

$=\frac{255}{100}V$ cubic unit.

The amount of acid in the mixture is

$=\frac{\textrm{The volume of acid}}{\textrm{The amount of mixture}}\times 100 \%$

$=\frac {\frac{11025}{10000}V}{\frac{255}{100}V}\times 100\%$

$=\frac{735}{17}\%$

Therefore the third container contains $\frac{735}{17}\%$ acid.

5 0

2 years ago

Distance between (-6, -2) and (0,-1)

s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0

2 years ago

15 POINTSSS ANSWER ASAP PLEASE!!!!! What is the equation, in point-slope form, of the line that is

Gnesinka [82]

Answer:

The Answer is : D

Step-by-step explanation:

First find the slope of the line that the equation should be parallel to. In this case it is 2/1 which simplified is 2.

Next insert the X (4) of the point (4,1) and solve to see if you get the Y(1).

y-1 = 2 (4-4)

y-1= 2 (0)

y-1= 0

y= 1

In this case D is correct.

TIP*

If you see the question ask you about a parallel formula, look at the slopes of them to see if they match up. Parallel formulas have the same slope, just a tip because you can see in the answer choices none of the equations have the same slope as the line on the graph except for D.

4 0

2 years ago

Money is borrowed at 12

tiny-mole [99]

Because 1023.68 is 112% of the loan, you can divide by 1.12 to get 914, which is the answer

3 0

2 years ago

Read 2 more answers

PLEASE HELP URGENT MY MOM WILL GROUND ME IF I DONT FINISH THIS LOL

exis [7]

Step-by-step explanation:

Hope it helps you in your learning process.