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Hoochie [10]
3 years ago
6

7,210 books in a library are organized into 3 rooms. there are 1,960 more books in the first room than in the second room. the n

umber of books in the second room is three times the number of books in the third room. how many books are in the third room?​
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
7 0

Answer:

750 books

Step-by-step explanation:

Let there be "x" number of books in the 3rd room

Now,

2nd room has 3 times as 3rd room, so we can write:

Second Room = 3x

Also, there are 1960 MORE books in 1st room than 2nd room, so we can write:

First Room = 3x + 1960

In total there are 7210 books in all three rooms, thus we can write:

First Room + Second Room + Third Room = 7210

Now, replacing the first 2 equations in this, we get:

3x + 1960 + 3x + x = 7210

Solving for x:

3x + 1960 + 3x + x = 7210\\7x=7210-1960\\7x=5250\\x=\frac{5250}{7}\\x=750

"x" is indeed what we are looking for. Thus,

There are 750 books in the third room

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2 years ago
F(x) = 2x, find the ordered pair when x = 1. O (1,2) 0 (4,1) (2,1) O (1,4)​
kenny6666 [7]

Answer:

The ordered pair is (1, 2) ⇒ A

Step-by-step explanation:

In the function f(x) = y

  • x is the domain of the function
  • y is the range of the function
  • The domain is all the x-coordinates of the points lie on the graph of the function
  • The range is all the y-coordinates of the points lie on the graph of the function

That means any ordered pair (x, y) satisfy the function f(x) = y, lies on the graph of the function

∵ f(x) = 2x

→ That means y = 2x

∵ x = 1

→ Substitute the value of x in the function above

∴ f(1) = 2(1)

∴ f(1) = 2

→ That means at x = 1, y = 2

∴ The ordered pair is (1, 2)

6 0
3 years ago
Marion Lamar establish a tutoring service at a local mall they tutor college students in math and English they charge $40 per ho
Readme [11.4K]

Answer: $3300 profit

Step-by-step explanation

P = 40(h) - expenses

h = 200

Expenses = 4000,325,375

P = 40(200) - (4000+325+375)

P = 8000 - 4700

P = 3300

4 0
3 years ago
An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. What is the volume of the obl
trasher [3.6K]

Oblique Cone

The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

Step-by-step explanation:

             An oblique cone has a radius of 4 units

             A height of 8.5 units

             A slant length of 11.7 inches

We have to use the slant height to calculate actual base

So in a right angle triangle when two sides are given the third side is calculated by

Root (sqr(11,7) - sqr(8.5)) = 8.03 units

\sqrt{11.7^{2}  - 8.5^{2} }

⇒ 8.03 units

Formula to calculate the volume of oblique cone,......................(1)

V = \frac{1}{3} bh

If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

V = \frac{1}{3} \pi r^{2} h

Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

Here r = 8.03 - 4 = 4.03 units

Volume = \frac{1}{3}× 3.14 × 4.03 × 4.03 × 8.5

Volume = 144.49 cubic inches

Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

6 0
2 years ago
Read 2 more answers
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