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Zarrin [17]
3 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]3 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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Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
Marrrta [24]

9514 1404 393

Answer:

  $4.92

Step-by-step explanation:

The cost is found by multiplying the number of feet by the cost per foot. The number of feet is the perimeter of the dining room, the sum of the lengths of all the sides.

There are two sides of the rectangular room that are 19 feet, and two sides that are 22 feet, so the total length of trim is ...

  P = 2(L +W) = 2(22 ft + 19 ft) = 2(41 ft) = 82 ft

The cost is then ...

  cost = ($0.06/ft)(82 ft) = $4.92

It will cost Luna $4.92 to buy enough trim.

3 0
3 years ago
A store has a 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.
Aloiza [94]

Answer:

21.6

Step-by-step explanation:

i did the math

7 0
2 years ago
Read 2 more answers
Nicole sold 1 cherry pie and 9 pumpkin pies for $60. Lisa sold 11 cheery pies and 4 pumpkin pies for $90. what's the cost each o
zubka84 [21]
X= cost per cherry pie
y= cost per pumpkin pie

NICOLE
1x + 9y= $60

LISA
11x + 4y= $90


STEP 1
multiply Nicole's equation by -11

-11(1x + 9y)= -11($60)
multiply -11 by all terms

(-11 * x) + (-11 * 9y)= (-11 * 60)

-11x - 99y= -660


STEP 2
add Nicole's new equation from step 1 to Lisa's equation to solve for y (using the elimination method)

-11x - 99y= -660
11x + 4y= 90
the x terms "cancel out"

-95y= -570
divide both sides by -95

y= $6 per pumpkin pie


STEP 3
substitute y value into either original equation to solve for x

x + 9y= $60

x + 9(6)= 60

x + 54= 60
subtract 54 from both sides

x= $6 per cherry pie


CHECK
11x + 4y= $90
11(6) + 4(6)= 90
66 + 24= 90
90= 90


ANSWER: Each cherry pie costs $6 and each pumpkin pie costs $6.

Hope this helps! :)
3 0
3 years ago
Cory found a job listed in a classified that pays a yearly salary of $54,013. What is the biweekly
Anon25 [30]

Answer:

2077.42

Step-by-step explanation:

There are 52 weeks in a year, so there are 26 "biweekly" weeks in a year.

Cory receieves $54013 per year, so he gets 54013 / 26 dollars biweekly.

We can compute that number, getting 2077.42 dollars.

5 0
3 years ago
Which was a significant provision of the northwest ordinance?
earnstyle [38]

I think the answer is A.

Hope it helps you!

3 0
3 years ago
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