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Julli [10]
2 years ago
9

Suppose that 13 inches of wire costs 52 cents. At the same rate, how many inches of wire can be bought for 32 cents?

Mathematics
1 answer:
kirill115 [55]2 years ago
8 0

Answer:

So we have a ratio which you have specified 13:52. So we just need to get the same ratio for 13. 32/52 is how we get 32 from multiplying by 52. So now we just need to multiply it for 13 also'

13*32/52 = 8. Therefore the answer to this is 8

<h2 /><h2><u>8 is answer</u></h2>
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Hardy is packing his book collection into a box. Each book measures 4inches by 6 inches by 1 inch. The box he uses measures 24 i
netineya [11]

Answer:

<u>1. 192 books.  </u>

<u>2. 96 books.  </u>

<u>3. 24 books. </u>

Step-by-step explanation:

1. Let's find the volume of each book and the volume of the box, this way:

Volume of a book = 4 * 6 * 1 = 24 inches ³  

Volume of the box = 24 * 24 * 8 = 4,608 inches ³

2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?

Greatest number of books = Volume of the box/Volume of a book

Greatest number of books = 4,608/24

Greatest number of books = 192

3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.

The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.  

Greatest number of layers = Height of the box/Width of a book  

Greatest number of layers = 8/1 = 8  

Minimum number of layers = Height of the box/Height of a book  

Minimum number of layers = 8/4 = 2  

Upon saying that, we have:  

Number of books per layer = Greatest number of books/Minimum number of layers  

Number of books per layer = 192/2 = 96

4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.

Number of books per layer = Greatest number of books/Number of layers

Number of books per layer = 192/8  

Number of books per layer = 24

Note: Same answer to question 14559894, answered by me today.

5 0
3 years ago
Solve the following compound inequality <br> 12 &lt; 2x-4/3 &lt; 16 <br> step by step
motikmotik

Answer:

x∈(20/3;26/3)

Step-by-step explanation:

12 < 2x-4/3 < 16

first we add 4/3 to each side

12+4/3<2x<16+4/3

we bring to the same denominator

12*3/3+4/3<2x<16*3/3+4/3

(36+4)/3<2x<(48+4/3)

40/3<2x<52/3

now we divide by 2

20/3<x<26/3

x∈(20/3;26/3)

4 0
3 years ago
Simplify the expression . (x^-4)^-6 A. x^-24 B. x^-10 C. x^10 D. x^24
sladkih [1.3K]

Answer:

D. x^2^4

Step-by-step explanation:

(x^-^4)^-^6

=x^2^4

4 0
3 years ago
What is the decimal value of sin S?<br> (Round your answer to the nearest thousandth if necessary.)
NISA [10]

Answer:

0.471

Step-by-step explanation:

The mnemoic SOH CAH TOA reminds you that ...

... Sin = Opposite/Hypotenuse

... sin(S) = 32/68 ≈ 0.471

8 0
3 years ago
Helppppppp Fassstttt
PilotLPTM [1.2K]
The answers are:

1. 35 burgers
2. 196 cheeseburgers
3. 630 burgers
4. $3.20
4 0
3 years ago
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