By finding the maximum common factor between the number of spoons, we conclude that he must put 6 teaspoons per bag.
There will be 8 bags in total.
<h3>How many teaspoons of spice should the clerk put in each bag?</h3>
We know that the store clerk has 18 teaspoons of cinnamon and 30 spoons of nutmeg.
Now, we want to put these in bags, such that each bag contains the same number of teaspoons.
Then the number of teaspoons per bag must be a common factor of 30 and 18. (the minimum number of bags is what we get when we select the maximum common factor).
Decomposing these two numbers gives:
30 = 2*3*5
18 = 2*3*3
Then the maximum common factor is 2*3 = 6
This means that we need to put 6 teaspoons per bag.
And the total number of teaspoons is 30 + 18 = 48, dividing that by 6 we get:
48/6 = 8
There will be 8 bags.
If you want to learn more about common factors:
brainly.com/question/219464
#SPJ1
To answer this question we need to find out the nth term
(aka the position-term rule) of this sequence. You'll notice that every term is the previous one multiplied by 2 - it's doubling each time. So we can say that the rule is 2ⁿ, where n is the position of the term in the sequence. Using the laws of exponents, 2ⁿ is equal to 2(2)ⁿ⁻¹. So the answer from the four options is 2(2)ⁿ⁻¹.
Hope this helps!
Answer: No more than 8.8 pounds.
Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.
We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:
Let us solve for x by subtracting 21.2 from both sides of our inequality.
We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.
Answer:
98/99
Step-by-step explanation:
0.98 (both the 9 and 8 repeat)
