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.
The solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a
Rewrite the compound inequality properly as follows
1.25a + 3 >0.5a - 6 and 2.5a - 1 >= 9 - 1.5a
Collect the like terms in the above compound inequality
1.25a - 0.5a > -3- 6 and 2.5a + 1.5a >= 9 + 1
Evaluate the like terms in the above compound inequality
0.75a > -9 and 4a>= 10
Divide both sides by the coefficient of the variable term in the above compound inequality
a > -12 and a>= 2.5
Hence, the solution to the compound inequality given as: 1.25a+3>0.5a-6 and 2.5a-1>=9-1.5a is a > -12 and a>= 2.5
Read more about inequality at:
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999946
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10,000,000
Answer:
40mm.
there are 10 mm. in a cm, so if there are 4 cm, then there are 40 mm.
Hope this helps :)
Answer:
3√2 or 4.2426
Explanation:
18 can be written as 9*2
This means that:
√18 can be written as √9 * √2
Now, √9 is equal to 3
So, the simplified form of √18 is 3√2 which is equal to 4.2426 in decimal form.
Hope this helps :)
