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Evgen [1.6K]
4 years ago
6

PLEASE HELP ASAP! Several books are placed on the bottom three shelves of a bookcase. When 1 book was taken from the first shelf

, 2 books were taken from the second shelf, 3 books were taken from the third shelf, and all these books were placed on the top fourth shelf, the quantity of books on all the shelves became equal. How many books are in the bookcase?
Mathematics
1 answer:
sergeinik [125]4 years ago
6 0

Answer:

24 books

Step-by-step explanation:

Initially the top shelf has no books placed on

Then books added to this:

  • 1+2+3= 6

And now all 4 shelves have same amount of books. So total number is:

  • 4*6= 24 books

There are 24 books in the bookcase

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Answer:

Total distance is 8 meters.

Step-by-step explanation:

First, let's take the equation and analyse it:

v(t) = 6 + t²

The delta t = 2

To find the acceleration, we need to differentiate v with respect to t like this:

dv/dt = d/dt (6 + t²)

         = 2t

At t = 2, the change in velocity (dv/dt) = 2×2 = 4 m/s². This is the acceleration,a

The final velocity is given by v = 6 + (2)²

                                                   = 10 m/s

The distance is given by the formula:

s = ut + 1/2at²

initial velocity, u = 0

Therefore, the equation becomes s = 1/2at²

                                                            = 1/2× 4×4

                                                             =<u> 8 m Ans</u>

4 0
3 years ago
What shape is this cross-section?<br> A. Circle<br> B. Pyramid<br> C. Rectangle<br> D. Triangle
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That is a rectangle.

Step-by-step explanation:

We cannot say a circle because it is the shape that is being cross sectioned.

3 0
3 years ago
Suppose 9x+14 ice cream cones were sold on Saturday and 6x-12 were sold on Sunday what is the total number of ice cream cones so
hjlf

Answer: 15x+2 ice cream cones

Step-by-step explanation: Separate out all of the parts of the polynomials. Add 9x and 6x (9x+6x=15x). Add 14 and -12 (14+-12=14-12=2). Add both of these back together to get 15x+2.

8 0
3 years ago
Solve for x in the triangle
kykrilka [37]

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8 0
3 years ago
Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be
makkiz [27]

Answer:

Mary is filling 36 cups per minute, which is faster than Jorge.

Step-by-step explanation:

Lets get Jorge's time :

As the rate is constant, we can find the slope to know the number of cups he is filling per minute.

Slope is found using: \frac{y2-y1}{x2-x1}

= \frac{53-25}{5-3}

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Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.

7 0
4 years ago
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