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Zarrin [17]
2 years ago
9

Five different awards are to be given to three students. Each student will receive at least one award. In how many different way

s can the awards be distributed?
Mathematics
1 answer:
AleksandrR [38]2 years ago
5 0

Answer:

It is 150.

Step-by-step explanation:

This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23

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If Violet were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 7 hours. How many ho
leonid [27]

It will take both of them 2 11/12 hours to complete the room

<h3>Fractions and proportions</h3>

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

Let the time it will take them to complete the job together be "x" such that;

1/x = 1/5 + 1/7

Simplify

1/x = 7+5/35

1/x = 12/35

Cross multiply

12x = 35

x = 35/12

x = 2 11/12 hours

Therefore it will take both of them 2 11/12 hours to complete the room

Learn more on fractions here: brainly.com/question/78672

#SPJ1

8 0
1 year ago
What is the ratio of the two values and what new value do they produce?
QveST [7]

The required ratio is give by $40/m, 4 miles/min, 30 mile/liter. .

Let, just assume a vehicle is given an economy of $280 of 7m.

<h3>
What is the Ratio?</h3>

The ratio can be defined as the comparison of the fraction of one quantity towards others. E.g.- water in milk.

Now,
The ratio can be given as for economy = 280/7
=  $40/m

here for new values,
suppose the vehicle travel for 40miles in 10 mins
ratio
= 40/10= 4 miles/min
and vehicle consumes 2 liter fuel on 60 miles of distance ratio can be given as
ratio = 60/2 = 30 mile/liter.

Thus the required ratios can be given as $40/m, 4 miles/min, 30 mile/liter.

Learn more about Ratio here:
brainly.com/question/13419413

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6 0
2 years ago
Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born
vladimir2022 [97]
Because the three numbers are consecutive, if the first one is x, the second should be x+1, and the third one is x+2
the three numbers add up to be 5982, so
x+(x+1)+(x+2)=5982
3x+3=5982
3x=5979
x=1993
1993,1994,1995
5 0
3 years ago
Read 2 more answers
The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their prefe
BabaBlast [244]

Answer: c

Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.

6 0
2 years ago
Graph the circle which is centered at (-4,1) and which has the point (0,4) on it
Allushta [10]

Answer:

  see the attachment for the graph

Step-by-step explanation:

Since all you want is the graph, it is convenient to use a graphing program to produce it.

__

You will notice that the point on the circle is 4 units over and 3 units up from the center.* This tells you the square of the radius is 4²+3² = 25. You only need to know this if you're using a graphing calculator to plot the equation ...

  (x +4)^2 +(y -1)^2 = 25

If you're graphing this by hand, you can set your compass to the distance between the plotted points, as we have done in our graphing program.

_____

* Hopefully, you recognize these (4 and 3) as the legs of a 3-4-5 right triangle, so you know immediately that the radius is 5. Even if you don't, you can figure it using the Pythagorean theorem, as we have done above.

__

The standard form equation of a circle with center (h, k) and radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

7 0
3 years ago
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