Answer:The first option has a higher cost per liter and the required cost is $1.40 per liter.
Step-by-step explanation:
Step-by-step explanation: Given that a 2 liter bottle of juice cost $2.80. A box containing six 12 liter bottle sells for $3.90.
We are to select the option that has a higher cost per liter.
We will be using the UNITARY method to solve the given problem.
Option (1) :
The cost of 2 liter bottle of juice = $2.80.
So, the cost of 1 liter bottle of juice will be
Option (2) :
The cost of six 12 liters bottle of juice = $3.90.
So, the cost of 1 liter bottle of juice will be
Since 0.05>1.40, so the option of 2 liter bottle costing $2.80 has a higher cost per liter.
And, the required cost is $1.40 per liter.
Answer:
The expressions that represent the distance between a and b on a number line is:
A. |a-b|
B. |b-a|
Step-by-step explanation:
We know that a absolute value of a number is the magnitude of a number without regarding the sign.
We know that the distance between two numbers a and b is calculated as the absolute difference between the two numbers.
Hence, the answer is:
Option: A and Option: B
Answer:
Step-by-step explanation:
So we have the indefinite integral:
This is the same thing as:
So, let's do integration by parts.
Let u be (ln(x))². And let dv be (1)dx. Therefore:
Simplify:
And:
Therefore:
The x cancel:
Move the 2 to the front:
(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)
Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:
Let u be ln(x) and let dv be (1)dx. Thus:
And:
So:
Simplify the integral:
Evaluate:
Now, we just have to simplify :)
Distribute the -2:
And if preferred, we can factor out a x:
And, of course, don't forget about the constant of integration!
And we are done :)
Answer: Choice B
Two and four tenths multiplied by the difference of six and two tenths and a number is more than negative four and five tenths.
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Explanation:
2.4 = 2 + 0.4
2.4 = 2 and 4/10
2.4 = 2 and 4 tenths
2.4 = two and four tenths
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Through similar reasoning,
6.2 = six and two tenths
And also,
-4.5 = negative four and five tenths
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Notice how 6.2 - x translates into "difference of six and two tenths and a number"
We then multiply that by 2.4, aka two and four tenths.
So that's how we get the phrasing "Two and four tenths multiplied by the difference of six and two tenths and a number"
All of this is greater than -4.5 aka negative four and five tenths.
This points us to Choice B as the final answer.