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Ipatiy [6.2K]
3 years ago
10

There are 1,845 seats in auditorium. The auditorium has 15 sections with the same number of seats in each section. How many seat

s are in each section? Explain how you could estimate the answer before solving.
Mathematics
1 answer:
Arlecino [84]3 years ago
4 0
1,845 seats in the auditorium divided by the 15 sections will give you 123

There are 123 seats in each section
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john has a goal to ride his bike at least 100 miles this summer, john has ridden 12 miles thus far. there are 40 days left in th
denis-greek [22]

Answer: 12 + 40d\geq 100

Step-by-step explanation:

Since, the miles john have cover = 12 miles.

And, the remaining days he has = 40

If d is the average miles he cover in these 40 days.

Then, the total miles he cover in 40 days= 40 d

Thus, the total miles he cover in this summer = 12 + 40 d

According to the question,

He has a goal of covering at least 100 miles in this summer.

That is,  the total miles he cover in this summer ≥ 100

⇒ 12 + 40 d ≥ 100

Which is the required inequality.


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4 years ago
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alexandr1967 [171]

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2 years ago
Factor the expression completely.<br> 100x4 – 30x2
Nikitich [7]

Answer:

10x^2 (10x^2 -3)

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3 0
3 years ago
A party is thrown where 25 tables are used. Each table either sits 4 people or 6 people. A total of 116 people can be sat at the
Soloha48 [4]

Answer:

(a) 4 y + 6 s  = 116 represents the given situation.

(b)There are 8  six- person tables at the party.

Step-by-step explanation:

Here, the total number of tables = 25

Let y  :  Represent the number of four person tables.

     s   :  Represents the number of six person tables.

Total people seated at all tables  = 116

Now, the number of people seated at table of 4  =  y x 4  = 4 y

         the number of people seated at table of 6  =  s x 6  = 6 s

(a)  Total People Seated = People seated at  { 4- table +  6  table}

      ⇒ 116  = 4 y + 6 s

       Hence, 4 y + 6 s  = 116 represents the given situation.

(b) Total tables are 25.      ⇒ s + y = 25

    Hence, the givens system of equations are:

    4 y + 6 s  = 116  ........  (1)

    s + y = 25   ............  (2)

Solving the above system, we get, substitute y = 25 - s    in (1)

4 y + 6 s  = 116   ⇒ 4(25-s)  + 6s = 116

or, 100 - 4s + 6s  = 116

or. 2s = 16

or, s = 16 / 2  = 8   ⇒ s = 8

Hence, there are 8  six- person tables at the party.

3 0
3 years ago
Divide 406 by −14. A) −29 B) −34 C) 34 D) 44
bija089 [108]
It would be 
A. -29 

Hope this helps ! 

7 0
3 years ago
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