Which is greater 3.95, 3 5/6, 3 4/5

Answer:

Fraction of cloth that turns green =  

Step-by-step explanation:

Let total cloth be of length = 1 unit

Given of it is dipped in blue dye.

Fraction which is not dipped in blue is given as:

⇒

Taking LCD to subtract fractions.

⇒

⇒

She dips in yellow.

Comparing the fraction dipped in yellow which is and fraction which is not dipped in blue i.e.

Taking LCD between 8 and 20 = 40

We have:

Thus, we can say  

Since , so the part dipped in yellow will also cover some part which is blue.

Thus, fraction dipped in yellow and blue which turns green will be given as:

⇒

Subtracting by taking LCD =40.

⇒

⇒

⇒  (Answer)

The mathematical expression is 6 + 8x

The sum of 6 and the product of 8 and x  can be written  mathematically by first  getting the product of  8 and x  which equals 8x

Sum means addition( +)

So the sum of 6 is written as 6 +

We  thus have  the mathematical expression Translated as  6 + 8x

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Final answer:

The mathematical expression for 'the sum of 6 and the product of 8 and x' is 6 + 8x.

Explanation:

A mathematical expression is a combination of numbers, variables, and mathematical operators (e.g., +, -, *, /) that represents a calculation or relationship. Expressions can be simple, like 2x + 3, or complex, serving various purposes in mathematical modeling, calculations, and problem-solving.

To translate the phrase 'the sum of 6 and the product of 8 and x' into a mathematical expression, we can use the symbols and operations of algebra. The sum of 6 and the product of 8 and x can be written as 6 + 8x. Here, 8x represents the product of 8 and x, and the addition symbol, '+', represents the sum of 6 and 8x.

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Final answer:

8.545 kilograms rounded to the nearest hundredth is 8.55 kilograms.

Explanation:

The question is asking for the number 8.545 to be rounded to the nearest hundredth. The digit in the hundredth place is 4 and the number immediately following is 5. When rounding, if the number following the digit you are rounding to is 5 or more, you add one to the digit you're rounding to. Here, since it goes 545, or 45 is greater than or equal to 5, you round up. Therefore, 8.545 rounded to the nearest hundredth is 8.55 kilograms.

To round 8.545 kilograms to the nearest hundredth, we need to look at the digit in the thousandth place, which is 5. Since it is greater than or equal to 5, we round up the hundredth-place digit. Therefore, 8.545 kilograms rounded to the nearest hundredth is 8.55 kilograms.

Learn more about Rounding Numbers here:

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