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3 years ago

Convert the decimal 0.83 to a fraction, and classify it as either rational or irrational

Mathematics

2 answers:

katrin [286]3 years ago

3 0

Answer:

83/100, rational

Step-by-step explanation:

A rational number is a number that ends. Even if it has decimals, the decimals have to end. 0.83 is a rational number because it doesn't continually go on.

To write it into a fraction, the easiest way is to take it out of a hundred, like a percentage.

photoshop1234 [79]3 years ago

3 0

Answer:

83/100

Rational.

Step-by-step explanation:

0.83 can be converted to a fraction.

83/100

The fraction cannot be simplified further.

It is rational because it can be written in the form p/q, where p and q are whole numbers.

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A bag contains 6 red balls, 4 green balls, and 3 blue balls. If we choose a ball, then another ball without putting the first on

jenyasd209 [6]

Answer:

2/13

Step-by-step explanation:

There are 6 + 4 + 3 = 13 balls all together.

If the first one is green, this will happen with a probability of 4/13. Now there are 12 balls left

There are 6 red balls. 6/12 = 1/2

The probability of the way this happens is 1/2 * 4/13 = 2/13

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4 years ago

If AC = 14, what is the measure of AD? Round your answer to the nearest hundredth.

Vitek1552 [10]

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Step-by-step explanation:

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3 years ago

What is the answer to <br> 5(3p+4r)

natta225 [31]

You need the distributive propery so you do 5 times 3p and get 15p and then 5times 4r and get 20r so 15p plus 20r

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3 years ago

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he value of y varies directly with the value of x. When y = 32.5, x = 5. What is the value of y when x = 10? A) 1.5 B) 2.2 C) 37

xz_007 [3.2K]

Answer:

D) 65

Step-by-step explanation:

The formula for direct variation is

y = kx

where k is the constant of variation.

If we know y=32.5 and x=5, we can substitute in to calculate k

32.5 = k * 5

Divide each side by 5

32.5/5 = k

6.5 = k

So the equation is

y = 6.5k

Given x =10

y = 6.5*10

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3 years ago

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

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3 years ago