Answer:

Step-by-step explanation:

Convert the mixed fractions to improper fractions:

Find the common denominator and write equivalent fractions:


Add:

Reduce to mixed fraction:

BR
RB
RR
BB
The sample space is any space that gives a positive outcome to all samples. They have to have an equal outcome
To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.
1/6 mile / 1/10 hours = x miles / 1 hour
Now we use cross-products or the multiplication of the numerator of one fraction times the denominator of the other fraction, setting these two numbers equal. The resulting equation is:
1/6 = 1/10x
Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.
x = 5/3 or 1 2/3
Therefore, Wayne walks 1 2/3 miles per hour.
Answer:
8
Step-by-step explanation:
Which of the following is a geometric sequence? 3, 6, 12, 24, … 4, 8, 12, 16, … 2, 4, 16, 256, …
Svetlanka [38]
Answer:
The geometric sequence would be 3, 6, 12, 24 . . .
Step-by-step explanation:
A <u>geometric sequence</u> is when the you find the next term in the sequence by multiplying by a <em>common ratio</em>. (A common ratio is the constant value that you <em>multiply</em> by each time in a geometric sequence.) In order to solve your problem, you would find the relationship between each term in the sequence. For the first sequence, 3, 6, 12, 24, etc., you can see that the ratio between one term and the next would be two: 3×2 = 6, 6×2 = 12, 12×2 = 24, and so on. This makes it a geometric sequence, but you still need to check the other sequences to make sure. For the sequence 4, 8, 12, 16, . . . , you need to add four each time. This means that the sequence has a <em>common difference</em>, or the constant value you <em>add or subtract</em> by in an <u>arithmetic sequence</u>. So, we know that the second sequence is not the answer. Finally, we check the last sequence, and if you look at it you can see that the you square the previous term to get the current one. This is different from a geometric sequence, and has a different name. However, it is not a geometric sequence because you are not multiplying by the <em>same</em> value each time (it doesn't have a common ratio). So, the first sequence, 3, 6, 12, 24, . . . , is a geometric sequence.