Answer:
All three.
Step-by-step explanation:
All three of these ratios are equivalent to 15:5. Here's how:
Let's look at the first ratio, 9:3. Did you notice something common? 3 x 3 = 9. 9/3 = 3. 5 x 3 = 15. 15/3 = 5. Both of these numbers are divisible by 3, so these ratios are equivalent.
Second. 6:2. 2 x 3 = 6. 6/3 = 2. 5 x 3 = 15. 15/3 = 5. See the similarity? The same applies to the next problem, number three, although it does slightly differentiate.
Third, 3:1. See, here, since the ratio is smaller than the problem, we can't multiply, since this ratio is smaller than the original number. But, it's still the same thing. A ratio is a number that compares a value to another value. This means that 3:1 is 3 compared to one. Now, let me clarify. 15:5. 3:1. These are the exact same values, except they are just written in a different form, and simplified. Since 5 x 3 = 15, we know that we can divide 15 evenly by 5, which makes it 3, and divide 5 evenly by 5, which equals one. So here we have our answer for the third problem. 5:1.
Ratios are basically division, except simplified. Every single ratio problem works this way. Once you get the hang of it, it's immensely easy. Hope this helped!
Answer:
x = 6
Step-by-step explanation:
9 / 6 = (2x - 6) / 4 (by the side splitter theorem)
6(2x - 6) = 36
12x - 36 = 36
12x= 72
x = 6
Answer:
True
Step-by-step explanation:
To divide fractions, flip one of the fractions then multiply them together.
-1/10 ÷ -3/5 =
-1/10 ÷ -5/3=
-1/10 x -5/3 = 5/30
Because a negative times a negative is a positive the product/quotient is positive.
Answer:
1st term: 1, 2nd term: 3, 3rd term: 5, 4th term: 7 & 10th term: 19
Step-by-step explanation:
1st term: 2(1) - 1
2 - 1 = 1
2nd term: 2(2) - 1
4 - 1 = 3
3rd term: 2(3) - 1
6 - 1 = 5
4th term: 2(4) - 1
8 - 1 = 7
10th term: 2(10) -1
20 - 1 = 19