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kobusy [5.1K]
3 years ago
13

During a four-week period, you worked the following hours: Week 1- 36 3/8 hr; Week 2- 41 1/4 hr; Week 3- 40 1/2 hr; Week 4- 38 3

/8 hr What is the average number of hours you worked in one week?
Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
(36 3/8 + 41 1/4 + 40 1/2 + 38 3/8) / 4 = 

36 + 41 + 40 + 38 = 155
3/8 + 1/4 + 1/2 + 3/8 = 3/8 + 2/8 + 4/8 + 3/8 = 12/8 = 1 1/2
155 + 1 1/2 = 156 1/2

(156 1/2) / 4 = 
313/2 * 1/4 = 313/8 = 39 1/8 <===average is 39 1/8 per week

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Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month. His uncle has 145
Usimov [2.4K]

Answer:

After 5.6 weeks they will have the same number of comic books.

Number of books = 61

Step-by-step explanation:

Tom currently has 5 comic books in his collection and has subscribed to receive 5 new comic books each month.

Again, his uncle has 145 comic books but sends five to each of his 3 nieces each month.

As Tom is one of his nieces so, in every week the collection of tom gets increases by (5 + 5) = 10

Therefore, after w weeks tom's collection will have C₁ = 5 + 10w ......... (1)

And Tom's uncle will have after w weeks C₂ = 145 - 15w ............ (2) comic books in his collection.

If C₁ = C₂ , then  

5 + 10w = 145 - 15w

⇒ 25w = 140

⇒ w = 5.6 weeks.  

Therefore, after 5.6 weeks they will have the same number of comic books. (Answer)

And the number of books it will be  

C = 5 + 10 × 5.6 = 61. (Answer)

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Ludmilka [50]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

We get that √48 = 2⋅2√3. Lastly, step three says to simplify, so we go ahead and multiply the 2⋅2 outside of the square root to get 4√3. That's it! We get that √48 = 4√3.

Step-by-step explanation:

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Step-by-step explanation:

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