To eliminate all of the fractions in an equation, we can multiply the equation by the least common denominator of all of the fractions in the equation. To find the LCD, we need to find a number that has at least all of the factors of each of the denominators.
To find the LCD of the fractions in this equation, let's look at our denominators, 3 and 6. We can say 3 = 3 and 6 = 2 * 3. By examining this, we can see that our LCD <em>has to have </em>a 3 and 2, since those numbers are found in at least one of the fractions. Thus, our LCD is 3 * 2 = 6.
Now we know to multiply our entire equation by 6. This is solved as shown:
Our answer is 4x + 42 = 5.
Answer: B: 70, 80, 30
Step-by-step explanation:
An acute triangle has all 3 angles at less than 90 degrees, therefore the answer is B because its the only one that has all three at <90
Option D : 54 is the range of the distribution
Explanation:
The given distribution is 21, 32, 49, 67, 75
The range of the distribution is the difference between the highest value and the lowest value in the distribution.
From the given data, we can see that,
Highest value = 75
Lowest value = 21
The range can be determined by subtracting by the highest value and the lowest value.
Thus, we have,
Range = Highest value - Lowest value
Range = 75 - 21
Range = 54
Thus, the range of the given distribution is 54.
Hence, Option D is the correct answer.
The two events are independent, because the selection of the first color (red) does not modifiy the probabilities of the second color (orange). Then the combined probability is the product of the two independent events:
1/7 * 1/7 = 1 / 49
Answer: option C. 1/49
The answer is True
<span>r=8 meters </span>
<span>2*pi*r </span>
<span>2*3.1415*8 = 50,24 </span>
