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iVinArrow [24]
3 years ago
12

In a set of five consecutive integers, the smallest integer is more than $\frac23$ the largest. What is the smallest possible va

lue of the sum of the five integers?
Mathematics
2 answers:
Goryan [66]3 years ago
4 0

Answer:

 55

Step-by-step explanation:

Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...

  (x-2)/(x+2) > 2/3

  3x -6 > 2x +4 . . . . cross multiply

  x > 10 . . . . . . . . . . .add 6-2x

The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.

The smallest sum is 55.

miv72 [106K]3 years ago
4 0

Answer:

55

Step-by-step explanation:

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abruzzese [7]

Answer: 19.63

Step-by-step explanation:

A = pir^2 , pi*2.5^2 = 19.63

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3 years ago
How do you do this question?
romanna [79]

Answer: B) Demand will most likely be elastic

Place yourself in the shoes of the employer. To them, demand is them needing/wanting workers. Specifically we call this "labor demand". The supply is the potential or current worker providing the service and/or making the product.

If the price goes up, then this means the worker earns higher wages. This in turn causes labor demand to fall. So the employer will be less likely to hire more workers if the wages increase. It's similar to how if the price of an item goes up in a store, then less people are probably going to buy it.

Demand is elastic because a small change in price causes a large change in demand. The company is going to be sensitive to wage changes. The company sees that it is approaching the diminishing returns, so it is likely to scale back on labor to save costs. It's all about trying to minimize costs and maximize revenue. Often, revenues can't be changed very much since customers are themselves sensitive to price changes (assuming there are substitutes in the market), so the company will turn to trying to reduce costs as much as possible leading to maximum profit.

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3 years ago
The height in feet of a projectile with an initial
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Step-by-step explanation:

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Jack was 13 years older than Priscilla. together their ages totaled 163 years . What were their ages?
djverab [1.8K]

Answer:

Jack is 88, Priscilla is 75.

Step-by-step explanation:

Let J represent Jack's age and let P represent Priscilla's age.

Their age totaled 163, so:

J+P=163

And we know that Jack was 13 years older than Priscilla. In other words:

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Solve for J and P. To do so, substitute the second equation into the first:

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Combine like terms:

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So, Priscilla is 75 years old right now.

Jack is 13 years older meaning that Jack is 88 years right now.

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3 years ago
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