Answer:
The number is 12.
Step-by-step explanation:
Given: 
We need to find a number multiply to each term to get rid of fraction.
We will find LCD of denominator.
First we see the numbers at denominator
Denominators are 4,3,2
Now, we will find the LCD of 2,3, and 4
Factor of 2: 2x1
Factor of 3: 3x1
Factor of 4: 2x2x1
LCD = 2x2x3 = 12
If we multiply by 12 to each term to eliminate the fraction.
Simplest equation:
Hence, The number is 12.
Answer as an improper fraction = 16/5
Answer as a mixed number = 3 & 1/5
Answer in decimal form = 3.2
All of those values represent the same thing, but written in a different way.
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Explanation:
I'm assuming HM stands for Harmonic Mean in this case.
If so, then we apply the reciprocal operation to each value to get 1/2 and 1/8 (from 2 and 8 respectively).
Add up those fractions:
1/2 + 1/8 = 4/8 + 1/8 = 5/8
Now we'll divide n = 2 over that result. The n = 2 refers to the number of items in the original set.
n divide over (5/8) = 2*(8/5) = 16/5 which is the answer as an improper fraction
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To convert to a mixed number, we can do the following:
16/5 = (15+1)/5
16/5 = 15/5 + 1/5
16/5 = 3 + 1/5
16/5 = 3 & 1/5
Or if you need the answer in decimal form, then using a calculator would get you 16/5 = 3.2
Answer: 3
Step-by-step explanation:
1. Convert the mixed number to fraction:
- Multiply the denominator of the fraction by the whole number.
- Add the product obtained and the numerator of the fraction.
- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.
Then:
2. Multiply the numerators.
3. Multiply the denominator.
4. Reduce the fraction.
Then:
Answer:
137 + x <= 170
Step-by-step explanation:
The following inequality will describe this scenario.
137 + x <= 170
the variable x in this scenario represents the total number of cars that you will purchase. This number is added to the number of toy cars that you already own which is 137. As long as this sum is less than or equal to 170 then your storage case will hold them.
Answer:
2x²√13
Step-by-step explanation:
√52x⁴ = √4×13×x⁴ = 2x²√13
