8:1 because it's just and 8 to a 1
Example: Oranges are sold in a bag of 5 for $2. The ratio of roanges to cost is 5:2 if i had 20 oranges for ? cost it would look like: 5/2=20/?
Y = 104°
z = 24
Angle y° and (5z - 44)° are linear pairs, meaning that the two measures together will add up to 180°.
To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24
Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
180 - 76 = 104°
Answer: < -4/5, 3/5>
This is equivalent to writing < -0.8, 0.6 >
======================================================
Explanation:
Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.
We have a right triangle with legs of 4 and 3. The hypotenuse is 
through use of the pythagorean theorem.
We have a 3-4-5 right triangle.
Therefore, the vector is 5 units long. This is the magnitude of the vector.
Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.
Therefore, we go from < -4, 3 > to < -4/5, 3/5 >
This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6
Side note: Unit vectors are useful in computer graphics.
In its decimal form, it says ' 64 / 100 '.
In order to change it to its lowest terms, we look to see whether the
numerator and denominator have a common factor greater than ' 1 '.
If they do, then we can divide numerator and denominator by their
common factor, and have the same fraction in lower terms.
The common factors of 64 and 100 are 1, 2, and 4 .
We could divide top and bottom by 2, but that wouldn't finish the job.
It's always best to divide them by their <u>greatest</u> common factor, and
once you do that, you're done.
Dividing the numerator and denominator both by 4,
we get the fraction in its lowest terms:
0.64 = 64/100 = <em>16/25</em>
