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ra1l [238]
3 years ago
7

What is the reciprocal of 3 1/5

Mathematics
2 answers:
damaskus [11]3 years ago
8 0

Answer:

5/16

Step-by-step explanation:

To find the reciprocal you have to make the fraction a mixed number by multiplying the denominator by the whole number then adding the numerator, in this case it would give you 16/5. Since the reciprocal is the number that you multiply to get one, if you switch the denominator and the numerator, you get 5/16.

You can check your work by multiplying the numbers together, if it equals one, your reciprocal is correct, if not, then you may have to do it again.

Talja [164]3 years ago
4 0

Answer:

5/16

Step-by-step explanation:

We need to change the mixed number to an improper fraction to find the reciprocal

3 1/5 = (5*3+1)/5 = 16/5

The reciprocal of 16/5 is found by flipping the fraction

5/16

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A bag holds 13 marbles. 6 are blue, 2 are green, and 5 are red. you select a marble from the bag. what is the probability that t
navik [9.2K]

Answer:

\boxed {\boxed {\sf B. \ \frac{8}{13} }}

Step-by-step explanation:

Probability is found by dividing the number of favorable outcomes by the total number of outcomes.

P= \frac{favorable \ outcomes}{total \ outcomes}

For this problem, the favorable outcome is selecting a blue or green marble. There are 8 outcomes for this because there are 6 outcomes for blue and 2 fr green.

The total outcomes are all the marbles. Each marble could be an outcome, so there are 13 outcomes (1 for each marble).

P(blue \ or \ green) = \frac{8}{13}

This fraction cannot be reduced, so the probability of selecting a blue or green marble is <u>8/13.</u>

7 0
3 years ago
46 out of 200 dogs are short haired breeds. What percent of dogs are not short haired breeds
Ivahew [28]

Hi!

46 out of 200 are short haired, which means that 200 - 46 = 154 out of 200 are not short haired. In percentages, that is:

154/200 = 77/100 = 77%

Hope this helps!

8 0
3 years ago
Are these answers correct?
Nikolay [14]

Answer:

You're correct.

Step-by-step explanation:

3 0
2 years ago
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph.
AveGali [126]

Answer: Time taken by him in going = 8 hours

Time taken by him in returning =  9 hours

Step-by-step explanation:

Let the total distance from home to New York is x miles,

\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

⇒ \frac{x}{40}-\frac{x}{45}=\frac{1}{2}

⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

=\frac{360}{40}=9\text{ hours}

3 0
3 years ago
Rewrite this expression using a positive exponent.<br> -7<br> 5
Sergio [31]

Answer:

1/5^7

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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