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2 years ago

What is the rational number equivalent to __ 3.24?

Mathematics

1 answer:

guajiro [1.7K]2 years ago

5 0

Answer:

$\frac{324}{100}$

Step-by-step explanation:

Think of a rational number as a fraction. The definition of a rational number is that it is the ratio of integers that, when divided, is either an integer, a decimal that terminates, or a decimal that repeats. 6/3 = 2 (6/3 is a rational number that divides to 2); 1/2 = .5 (1/2 is a rational number that divides to .5 which is a terminating decimal, meaning it ends); 1/3 = .33333333 (1/3 is a rational number that divides to .3333333 which is a repeating decimal). If we want to express 3.24 as a rational number, let's first put it into fraction form. The 4 in .24 is in the hundredths place, so as a fraction, .24 is 24/100. Check this on your calculator. Divide 24 by 100 and you get .24. So now what we have is $3\frac{24}{100}$

Now express that mixed fraction as an improper and you're done. 3 times 100 is 300; 300 + 24 = 324. Put that back over 100 and your rational number is 324/100. Check that on your calculator, as well, just to see that it's true.

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Answer:

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2 years ago

The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprin

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The Lewis family and the Perry family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 15 L per hour. The water output rate for the Perry family's sprinkler was 40 L per hour. The families used their sprinklers for a combined total of 65 hours, resulting in a total water output of 1850 L . How long was each sprinkler used

Answer:

Hours of use of sprinkler by Lewis family is 30 hours.

Hours of use of sprinkler by Perry family is 35 hours.

Step-by-step explanation:

Let W = hours of use by Lewis family

65 - W = hours of use by Perry family

Then;

15W + 40*(65 - W) = 1850

15W + 2600 - 40W = 1850

(15 - 40)W = 1850 - 2600

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W = 750/25 = 30

Therefore;

W = 30

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Hence,

Hours of use by Lewis family is 30 hours.

Hours of use by Perry family is 35 hours.

3 0

3 years ago

A cone-shaped building has a height of 11.4 meters and a base with a diameter of 12 meters. The building will be filled with roa

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We know, Volume of a Cone = πr² h/3
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v = 3.14 * 36 * 3.8
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Now, for 1 m³, it costs = $20
So, for 429.552 m³, it will be: 20 * 429.552 = 8591

In short, Your Answer would be $8591

Hope this helps!

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3 years ago

Read 2 more answers

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