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3 years ago

Four ninths plus nine eighteenths :]

Mathematics

1 answer:

goldenfox [79]3 years ago

8 0

Answer: 17/18

In words, this is seventeen eighteenths

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Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

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Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65

Slav-nsk [51]

The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

<h3>How to Order a Set of Decimal Numbers?</h3>

When considering the order of a set of decimal numbers, the value larger the digit that is close to the decimal point, the larger the decimal number, and vice versa.

Given the following set of decimal numbers, 7.321, 7.3, 7.065, 7.65.

Notice that all decimal numbers start with 7. So, the digit close to the decimal point is what we will consider to determine which decimal number is greater or the least.

The decimal number that has the greater digit that is close to the decimal point is, 7.65, followed by 7.321, then 7.3.

The decimal number with the least digit closer to the decimal point is 7.065.

Therefore, the order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

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2 years ago

When a large marketing company contracts with a payroll service company to process employee checks then they are

DaniilM [7]

Outsourcing is well known as just an exercise which takes occurs when a company, therefore the answer is "Option b" that is "Outsourcing", and the further discussion can be defined as follows:

It gives another business a task to perform or to undertake for them rather than themselves.
It is an agreement between the two companies, usually for a specified period.
It is made to be better efficient and to minimize the costs.
In the large marketing company agreements for worker cheques with such a payroll service provider, they outsource people.

Therefore, the final answer is "Option b".

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3 years ago

how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution

Irina-Kira [14]

Answer:

200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

salt/solute = 100(0.30)/(100 +w) = 0.10

30 = 10 +0.10w . . . . . simplify

20 = 0.10w . . . . . . . . subtract 10

20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

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2 years ago

Find the range of the function.<br><br> f(x) = (x + 5)2 + 8

Marizza181 [45]

Finding the vertex of the parabola
<span>y = (x + 5)^2 + 8 the vertex is at (-5, 8)
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3 years ago

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Vitek1552 [10]

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3 years ago