Answer:
D
Step-by-step explanation:
TRY TO ESTIMATE it
just to see
Which of the following arithmetic sequences have a common difference of 2 1/2
Answer: -4,-1.5,1,3.5,6,8.5
Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.
8.5 - 6 = 2.5
-1.5 - (- 4) = 2.5
3.5 - 1 = 2.5
Answer:
Number of white marbles in the bag = 45
Step-by-step explanation:
Total number of marbles in the bag = 135
Ratio of white marble to transparent ones = 3 : 6
Let number of white marbles be
Then number of transparent marble will be
Total number of marbles will be
So we have.
Dividing both sides by 9.
∴
∴ Number of white marbles in the bag =
In a bag of 135 marbles with a white to transparent ratio of 3:6, there are 45 white marbles, as the ratio simplifies to 1:2. With 3 ratio parts total (2 transparent + 1 white), dividing the total marbles (135) by the total parts (3) gives 45 marbles per part, meaning there are 45 white marbles (1 part).
In mathematics, we can solve the problem by understanding the ratio given. A ratio of white to transparent marbles is given as 3:6. This simplifies to 1:2 meaning that for every 1 white marble, there are 2 transparent marbles.
With the total number of marbles being 135, we can divide this number by the total parts in the ratio to find the number per part. The sum of the ratio is 3 parts (1 part white + 2 parts transparent). So, we have 135 marbles ÷ 3 parts = 45 marbles per part.
Given that the ratio of white marbles is 1 part, the number of white marbles in the bag will be 1 part x 45 marbles/part = 45 white marbles.
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