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3 years ago

Find the constant of variation for the relationship shown in the following table:

1 answer:

5 0

In order to get the constant of variation, you can either make a linear equation that relates x and y in which the slope is the constant of variation

LINEARIZING

x = 3y

the slope of the equation is 3 and therefore the constant of variation is 3

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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:

1. 192 books.

2. 96 books.

3. 24 books.

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

Which is NOT a common denominator for 2/3 and 1/2 ? A. 18 B. 12 C. 6 D. 3

Iteru [2.4K]

Answer:

d. 3

Step-by-step explanation:

hope this helps!!!!!!!<3

3 0

3 years ago

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What is the solution to the equation 3/5n - 4/5 = 1/5n?

antiseptic1488 [7]

Answer: 2

Step-by-step explanation:

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3 years ago

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THIS IS MULTIPLE CHOICE!

Troyanec [42]

Answer:

there is a cluster from 1-4

there is a gap from 5-7

The spread is from 1-8

Step-by-step explanation:

These are all true if you look... there is a bunch from 1-4, there is none from 5-7, and all of them are within 1-8, but the highest amount isn't at 3.

7 0

3 years ago

Agri-small business limited expenses on petrol for their fleet is r 4 850.00 at the end of september and they have a balance of

kotykmax [81]

The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

Given that the expenses on petrol be R4850.00 at the end of September, balance is R 106360.00, usage on income of salaries be 25%, on electricity,rates and taxes be 11%, 42% of the remaining on insurance and investments.

We are required to find the total income and expenditure in September.

Generally the equation for insurance is mathematically given as :

Insurance=42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Generally the equation for the total after all the other expenditures is mathematically given as:

Total expenditure after all other expenditures=0.64A-0.2688A

Total expenditures after all other expenditures=0.3712A.

Total expenditures after all other expenditures is as 111210 (106360+4850)

Equating both the equation and value:

111210=3712A

A=299596

The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

Learn more about income at brainly.com/question/25745683

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2 years ago

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