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Serhud [2]
2 years ago
13

Suppose that there are six universities and each will produce five mathematics Ph.D.s this year, and there are five colleges tha

t will be hiring seven, seven, six, six, five math Ph.D.s, respectively. No college will hire more than one Ph.D. from any given university. Will all the Ph.D.s get a job? Explain.
Mathematics
1 answer:
bazaltina [42]2 years ago
7 0

Answer:

No. If a collegue hire 7 math Ph.D.s, at least 2 will be from the same university.

The only way to have a job for all of them is that all colleges hire 6 math Ph.D.s, one from each university.

Step-by-step explanation:

If the condition is that <em>no college will hire more than one Ph.D. from any given university, </em>no college can hire more than 6 math Ph.D.s, as there are only 6 universities to choose from. If they hire seven, they have to repeat some university, violating the condition.

Then, the only way to have a job for all of them is that all colleges hire 6 math Ph.D.s, one from each university.

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Answer:33 left :)

Step-by-step explanation:

8 0
2 years ago
The function below represents the interest Kristina earns on an investment. Identify the term that represents the amount of mone
Elena-2011 [213]

Answer:

The amount of money originally invested which is the principal P = 5,000

Step-by-step explanation:

Using the compound interest formula, the return on investment can be represented on the interest function as;

f(x) = P(1+r)^x

Where

P is the principal which is the initial investment.

r = rate Proportion

x = time (number of years)

Comparing to the given function;

f(x) = 5,000(1 + 0.04)^x

We can see that;

Principal P = 5,000

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The amount of money originally invested which is the principal P = 5,000

4 0
2 years ago
6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?
Nutka1998 [239]
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
6 0
2 years ago
3.5 hours:$10 1/2 hour:$1.25. What is the unit rate in dollars per hour for each company?
Rasek [7]

One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50

7 0
2 years ago
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
algol13
First, we are going to find the sum of their age. To do that we are going to add the age of Eli, the age Freda, and the age of <span>Geoff:
</span>9+13+18=40
The combined age of Eli, Freda, and Geoff is 40, so the denominator of each ratio will be 40.

Next, we are going to multiply the ratio between the age of the person and their combined age by <span>£800:
For Eli: </span>\frac{9}{40} *800=180
For Freda: \frac{13}{40} *800=260
For Geoff: \frac{18}{40} *800=360
<span>
We can conclude that Eli will get </span>£180, Freda will get £260, and Geoff will get <span>£360.</span>
4 0
2 years ago
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