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Gnom [1K]
2 years ago
12

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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Find the rate of discount for a pair of pants that cost 65$ and are on sell for 39
lutik1710 [3]

Answer: 65 - $39 = $26 >> amount you save

26 / 65 = 0.4 = 40% >> discount rate

Step-by-step explanation:

6 0
3 years ago
Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
PSYCHO15rus [73]

Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

8 0
2 years ago
A street that is 360 feet long is covered in snow city workers are using a snow plow to clear the street a tire on the snow plow
belka [17]

Answer:

Radius of tire=0.58 meter

Step-by-step explanation:

as we know that the

Circumference of the tire=2*3.14*r

and it needs to rotate 30 times to cover the street distance of 360 feet

So, the below equation would be used to find the radius of tire in the meters

360/3.28084=30*2*3.14*r

r=0.5824203822 meters

Hence

Radius=0.58 meter

3 0
2 years ago
Can you help me please ​
Volgvan
$5000 I think should be right
8 0
2 years ago
Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.
valentinak56 [21]

Answer:

1,225 miles = 77616000 inches

Step-by-step explanation:

It is asked to find the number of inches in 1,225 miles

Given

1 inch ≈ 1.578 × 10^-5 miles

Therefore, 1 mile  = 63360 inches

Therefore, 1,225 miles = 1225 x 63360 inches

                 1,225 miles = 77616000 inches

or               1,225 miles = 7.7 x 10^{7} inches

Therefore the final answer is

1,225 miles = 77616000 inches

or               1,225 miles = 7.7 x 10^{7} inches

3 0
3 years ago
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