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iVinArrow [24]
3 years ago
9

Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same number of novels an

d autobiographies. If Carlos must place all of the books on shelves, what are the possible numbers of shelves Carlos will use?
The possible numbers of shelves Carlos will use are
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
Carlos will use 8 shelves with 3 novels and 2 autobiographies on each.
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the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70
viva [34]
------------------------------------------------------------------------------------
Ratio
------------------------------------------------------------------------------------
Width : Length
    2    :   5 

Let x be the scale factor

Width : Length
    2x    :   5x

------------------------------------------------------------------------------------
Form equation and solve x
------------------------------------------------------------------------------------
Perimeter = 2(Length + Width)
70 = 2(5x + 2x)
70 = 2(7x)
70 = 14x
14x = 70
x = 5

------------------------------------------------------------------------------------
Find Length and Width
------------------------------------------------------------------------------------
Length = 5x 
Length = 5(5) 
Length = 25

Width = 2x
Width = 2(5)
Width = 10

------------------------------------------------------------------------------------
Answer: Length = 25 cm, Width = 10 cm
------------------------------------------------------------------------------------
4 0
3 years ago
Help me with number 15 and 16
loris [4]

Answer:

Problem 15)

$40.91

Problem 16)

12.446 cm^2

Step-by-step explanation:

Problem 15)

Gala.

12.8 * 1.35 = 17.28

Honeycrisp.

9 * 1.68 = 15.12

Fuji

7.4 * 1.15 = 8.51

17.28 + 15.12 + 8.51 = 40.91

Problem 16)

(area1) + (area2) + (area3) = (total area)

(1.25*4.38) + (1.36*2.15) + (1.14*3.55) = x

5.475 + 2.924 + 4.047 = x

12.446 = x

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3 years ago
I NEED HELP ASAP IT'S DUE IN 10 MINUTES!!! I'LL GIVE BRAINLIEST!!!
ycow [4]
You answer is 12 :)...
3 0
3 years ago
​ y=3x+3 y=−2x+3 ​ how many solutions does the system have
allochka39001 [22]

Answer: One solution

Step-by-step explanation:

y = 3x + 3

y = -2x + 3

-----------------------------------------------------------------------------------------------------------

To solve this, you need to understand a few things:

a) If two lines have the same slope but different y-intercepts, they are parallel when graphed and thus do not have any solutions

b) If two lines have the same slope and same y-intercepts, they are the same line when graphed and thus do not have infinitely many solutions

c) If two lines have different slopes (and/or y-intercepts), they have one solution

-----------------------------------------------------------------------------------------------------------

These two lines have different slopes but the same y-intercept (condition c)

So they have one solution

5 0
3 years ago
Rigid motion transformations produce images that:
igomit [66]

C. Moved to a different location but congruent in size and shape.

Rigid motion transformations are when a shape is moved, rotated, reflected, or any other type of transformation but the size and shape stay the same.

Non-rigid is when an object is moved but the size and shape can change.

Hope this helps :))

5 0
3 years ago
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