CARD #1: Use the number 0 to represent the yellow marbles and 1 through 9 to represent the other marbles.
Since we are only allotting one out of the 10 numbers for the yellow marbles, then we should also find a set of marbles wherein the ratio of the yellow marbles to the total marbles is 1/10. Out of the options, the situation with 30 red marbles, 40 blue marbles, 20 green marbles, and 10 yellow marbles match the ratio.
CARD #2: Use the numbers 0 through 4 to represent the yellow marbles and 5 through 9 to represent the other marbles.
We will follow the same logic as the previous pair. Since we used 5 numbers out of the 10 for yellow marbles, then we should find a situation wherein the ratio of the yellow marbles to the total marbles is 1/2. From the options, the situation with 16 red marbles, 32 blue marbles, 32 green marbles, and 80 yellow marbles satisfy the ratio.
CARD #3: Use the numbers 0 through 2 to represent the yellow marbles and 3 through 9 to represent the other marbles.
For this card, 3 out of the 10 numbers are allotted for the yellow marbles. Thus, the ratio of the yellow marbles to the total marbles should be 3/10. We can see that the only situation that satisfies this is the one with 60 red marbles, 120 blue marbles, 30 green marbles, and 90 yellow marbles.
CARD #4: Use the numbers 0 through 3 to represent the yellow marbles and 4 through 9 to represent the other marbles.
Lastly, we will apply the same logic for this card. The 4 numbers allotted for yellow marbles will tell us that the ratio of the yellow marbles to the total marbles should be 2/5. The only situation that satisfies this would be the one with 20 red marbles, 30 blue marbles, 10 green marbles, and 40 yellow marbles.
1)1, 3, 5, 15, 23, 69, 115, 345
<span>2)1,3,7,9,21,27,63,81,189,567</span>
Answer:
(-4,3)
Step-by-step explanation:
Answer: the first one
Step-by-step explanation:
Answer:
0.0133
Step-by-step explanation:
Set up the long division.
225 | 3
2 Calculate 300 ÷ 225, which is 1 with a remainder of 75.
0 . 01
_____
225 | 3.
2 . 25
__
75
3 Bring down 0, so that 750 is large enough to be divided by 225.
0 . 01
_____
225 | 3.
2 . 25
__
750
4 Calculate 750 ÷ 225, which is 3 with a remainder of 75.
0 . 013
______
225 | 3.
2.25
__
750
675
___
75
5 Bring down 0, so that 750 is large enough to be divided by 225.
0. 0 1 3
_______
225 | 3.
2.25
__
750
675
_____
75
6 Calculate 750 ÷ 225, which is 3 with a remainder of 75.
0 . 0133
_______
225 | 3.
2. 25
__
750
675
___
750
675
___
75
7 Therefore, 3 ÷ 225 ≈ 0.0133.
Answer: 0.0133