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Ipatiy [6.2K]
3 years ago
10

Kwan bought three rolls of regular wrapping paper with 6.7 square meters of paper each.He also bought a roll of fancy wrapping p

aper containing 4.18 square meters.How much paper did he have altogether?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer: He had 24.28 m².


Step-by-step explanation:

1. He bought 3 rolls of regular wrapping paper with 6.7 m². Then the total of this paper is:

(3)(6.7m^{2})=20.1m^{2}

2. He also bought a roll of fancy wrapping with 4.18 m². Therefore, to calculate the amount of paper he had together (which you can call x), you must add 20.1 m² and 4.18 m², as you can see below:

x=20.1m^{2}+4.18m^{2}\\x=24.28m^{2}



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From a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. In how many dif
Romashka [77]

Answer:

11,880 different ways.

Step-by-step explanation:

We have been given that from a pool of 12 candidates, the offices of president, vice-president, secretary, and treasurer will be filled. We are asked to find the number of ways in which the offices can be filled.

We will use permutations for solve our given problem.

^nP_r=\frac{n!}{(n-r)!}, where,

n = Number of total items,  

r = Items being chosen at a time.        

For our given scenario n=12 and r=4.

^{12}P_4=\frac{12!}{(12-4)!}

^{12}P_4=\frac{12!}{8!}

^{12}P_4=\frac{12*11*10*9*8!}{8!}

^{12}P_4=12*11*10*9

^{12}P_4=11,880

Therefore, offices can be filled in 11,880 different ways.

     

   

3 0
4 years ago
See Attached picture.
agasfer [191]
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F = mgsinα in terms of SI units and in terms of english units we have F = m(g/g₀)(sin α) where g₀ is the proportionality factor, 32.174 ft lb-m / lb-f s²

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5 0
3 years ago
Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 EACH day the total cost was $123
Tom [10]

Answer:

14 days approximately or 14.47 to be exact

Step-by-step explanation:

Let the number of days be x

Val paid $123 for x days for renting a bicycle where as $8.50 was rent of bicycle per day so dividing $123/8.50 gives us number of days

which are 14.47 days.

$55 amount is ambiguous that whether it was flat ( as in apartment) rental fee or what?

3 0
3 years ago
Compute the conditional probabilities from the two-way frequency table.
Natali5045456 [20]

Answer:

The table is show clearly in the figure attached.

P(boy if favourite activity is swimming) = 8/17 = 0.47

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P(boy if favourite activity is sport) = 20/27 = 0.74

P(favourite activity is swimming if a girl) = 9/20 = 0.45

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P(favourite activity is swimming if a boy) = 8/30 = 0.27

P(favourite activity is reading if a girl) = 4/20 = 0.2

6 0
3 years ago
Which congruence theorem can be used to prove △ABC ≅ △DEF?<br><br> AAS<br> ASA<br> HL<br> SAS
Delicious77 [7]

Answer:

HL

Step-by-step explanation:

Use the HL Congruence Theorem to prove that the triangles are congruent.

8 0
3 years ago
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