NinjaDevo

First, you have to turn both of these into improper fractions.

1 2/3 = 3/3 + 2/3 = 5/3

1 3/4 = 4/4 + 3/4 = 7/4

Now we have 5/3 divided by 7/4, and remeber if you want to divide to fractions you multiply by the reciprocal.

So we flip the second fraction.

$$\frac{5}{3} \times \frac{4}{7}$$

Then multiply the tops and bottoms together.

$$\frac{5 \times 4}{3 \times 7} = \mathbf{\frac{20}{21}}$$

The square root of 95 cannot be simplified any further, but you can get a decimal aproximation. 

That'd be about 

$${{\mathtt{95}}}^{\left({\frac{{\mathtt{1}}}{{\mathtt{2}}}}\right)} = {\mathtt{9.746\: \!794\: \!344\: \!808\: \!963\: \!9}}$$

It'd probably be best to use the slope intercept form here. 

That is:

y = mx + b

where m = slope

and b = the y intercept

So basically all you have to do is put in the slope and the y intercept (which is 0, because it goes through the origin) and your done

So you'll end up with

y = (7)x + (0)

or just y = 7x.

That wouldn't quite work, because if you were to multiply 5(5a + 1) out, you would end up with 25a +5, when you would want that to be 10a +6.

So you have to think of two numbers that would divide out of 10 and 6 equally. 6 and 3 wouldn't work, but 2 would.

We place a 2 on the outside then, and divide two from the two numbers.

10a + 6

2(5a + 3)

Yes, so if you know what b equals, you can put that number in for b around parenthesis.

We have 4b+8, and know that b = 8, so that means

4(8)+8 is our answer.

The parenthesis mean to multiply, so we multiply 4 times 8, and then add 8 to that.

4 x 8 = 32

add 8 to that

32+8 = 40

40 is the answer.

I believe (2+x)/(6+7x) should be your final answer, because you can't pull anything out of those numbers on both the top or bottom to be able to cancel them out.

$${\mathtt{12.5}}{\mathtt{\,\times\,}}{\mathtt{8}} = {\mathtt{100}}$$

What we need to do to simpify these is to "break down" theses square roots into smaller square roots so that we can simplify one of them.

So, here's how we'd go about doing this:

$$\sqrt{8}$$

$$\sqrt{4}\times\sqrt{2}\\$$

Now we can simplify the square root of 4 to 2, because 2 times 2 is 4.

$$2\times\sqrt{2}$$

And then just write the answer like so:

$$2\sqrt{2}$$

I'll do another one too and then let you do the rest.

$$\sqrt{45}$$

$$\sqrt{9}\times\sqrt{5}$$

$$3\times \sqrt{5}$$

$$3\sqrt{5}$$

And there you have it!

An absolute value is a sign that looks something like this: |

When you have numbers in absolute values, you always make the number inside them positive.

Say you have something like this:

|3-5|

You first do the operations inside the absolute values, then you make it positive.

|-2|

and now you make it positive, so you get 

2

Also, if the number inside the absolute values is positive, you still leave it positive.