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astraxan [27]
3 years ago
14

2. which equation represents this sentence? one-half the sum of a number and four is three less than the quotient of five and th

e number. question 5 options: 12n 4=3−5n {"version":"1.1","math":"12n4=3-5n";;} 12(n 4)=3−5n {"version":"1.1","math":"12(n4)=3-5n";;} 12n 4=5n−3 {"version":"1.1","math":"12n4=5n-3";;} 12(n 4)=5n−3
Mathematics
1 answer:
Triss [41]3 years ago
8 0
The question is asking to choose among the following choices that states the question that represent the said sentence in your question and base on the fact and further understanding about the said sentence, I would say that the answer would be ((x+4)/2)-3(4/x). I hope you are satisfied with my answer and feel free to ask for more 
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Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work​ together, it takes them 2 hours. How
aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood  = K hrs

So, the per hour rate of Dwight  = (\frac{1}{K})

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood  = (K- 3) hrs

So, the per hour rate of Joe  = (\frac{1}{K-3})

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them  = (\frac{1}{2})

⇒ Per hour rate of ( Dwight  + Joe)  =(\frac{1}{2} )

\implies (\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})

Now, solving for the value of K , we get:

(\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})\\\implies  \frac{(K-3) + K}{K (K-3)}  = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K  + 6=  0\\\implies K^2 - 6K - K  + 6=  0\\\implies K(K-6) -1(K - 6)=  0\\\implies (K-6)(K-1) = 0

Implies either K = 6 Or K = 1

But if K = 1, (K-3)  = 1- 3  = -2 hours would be A CONTRADICTION.

⇒ K  = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0
3 years ago
Please help i will give you points
SpyIntel [72]

Answer:

done

Step-by-step explanation:

I have installed it

6 0
3 years ago
Read 2 more answers
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Gre4nikov [31]

Answer:

$6.75

Step-by-step explanation:

15% of 45 = $6.75

5 0
3 years ago
Grant can swim 4/10 lap per minute. At that rate how many laps can he swim in 1 hour
Amiraneli [1.4K]
24 laps

1 hour = 60 minutes
4/10 x 60 = 24
7 0
3 years ago
Read 2 more answers
ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?
Alex17521 [72]

Answer:

Perimeter of A'B'C'D' = 9 units

Step-by-step explanation:

Given:

Perimeter of ABCD = 27 units

Scale factor = 1 / 3

Find:

Perimeter of A'B'C'D'

Computation:

Perimeter of A'B'C'D' = 1/3[Perimeter of ABCD]

Perimeter of A'B'C'D' = 1/3[27]

Perimeter of A'B'C'D' = 9 units

4 0
3 years ago
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