Answer:
1/6
Step-by-step explanation:
71% and 29%
percent means ' out of 100 )
= 71%
not produced in this state = 100% - 71% = 29%
I'll do this step-by-step. Note, ratios are basically division signs.
The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.
The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.
There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)
So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.
If you don't want the explanation, there are 33 more cars than vans in the parking lot.
If the pyramid fits perfectly in a cube, this means that its base is a square and its height has the same value as the side of the square. Let x be the measure of the sides of the cube. The volume of the cube (Vc),
Vc = x³ ; 49 ft³ = x³ ; x = 49^(1/3)
The volume of the pyramid is,
Vp = (1/3)(x²)(x) = (1/3)(x³)
Substituting the known values,
Vp = (1/3)((49^(1/3))³ = 16 1/3 ft³
Thus, the volume of the pyramid is approximately 16.33 ft³.
So basically, think of a ratio as a fraction for these problems. You see the 2 numbers and you put the first one as the numerator and the second as your denominator. For example:
5 to 10
We would change this into:

Because the problem says to simplify, we can divide both sides by 5 and simplify it into:

If the problem says 5:10 instead of "5 to 10" it's the same problem just with different wording. If the numbers are labeled, the you can write the labels next to the number it corresponds with.
If you have any questions, feel free to ask down in the comments, I'll be happy to work with you!