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3 years ago

What is the reciprocal of 5/6 ? How can you be sure it is the reciprocal?

Mathematics

1 answer:

gregori [183]3 years ago

7 0

Answer:

6/5 is the reciprocal of 5/6

Step-by-step explanation:

The reciprocal of a number is its multiplicative inverse. That is, the product of the number and its reciprocal is 1, the multiplicative identity element.

For a fraction, the reciprocal is the fraction with numerator and denominator interchanged. That is, the reciprocal of 5/6 is 6/5.

You can check that this is the multiplicative inverse by multiplying it by 5/6:

5/6 × 6/5 = (5×6)/(6×5) = 30/30 = 1 . . . . the multiplicative identity element

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Plz help me plzzzzz asap

Varvara68 [4.7K]

Answer:

2 $\frac{2}{9}$

Step-by-step explanation:

First, we will turn 5 2/5 into an improper fraction:

5 * 5 = 25 + 2 = 27/5

So they worked for 27/5 days.

We want to divide the days worked by the distance to get the unit rate of distance per day:

$\frac{12}{\frac{27}{5} } = \frac{12}{1} * \frac{5}{27}=\frac{60}{27}=\frac{20}{9}$

So our answer is 2 $\frac{2}{9}$

Hope this helps, have a great day! :D

6 0

2 years ago

Grover Elementary School is getting ready for the annual Penny Drive. The table below shows the target goals for the drive at th

Sever21 [200]

The slope of the function is $400.

<h3 /><h3>Definition of slope of a function</h3>

The slope of a function is the rate of change of the dependent variable with respect to the independent variable. The equation that represents a function is: y = mx + b

Where:

y = dependent variable
m = independent variable
x = slope
b = constant

Looking at the total money raised, the amount of money increases by 400. This is the slope.

To learn more about slope, please check: brainly.com/question/2491620

7 0

2 years ago

I need help please?!!!!

Marianna [84]

The answer is the last option: The associative property of multiplication

6 0

2 years ago

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute. The probability that

zloy xaker [14]

Answer:

0.0498 = 4.98%

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.

Each minute has 60 seconds.

So a rate of 1 inquire each 4 seconds.

The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately

Mean of 1 inquire each 4 seconds, so for 12 seconds $\mu = \frac{12}{4} = 3$

This probability is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498$

5 0

3 years ago

The length of a rectangle is twice the width. Given that the perimeter of the rectangle is 24 feet, how many square feet are in

just olya [345]

Answer:

Area = 32feet²

Step-by-step explanation:

Perimeter of a rectangule = 2(length+width)

Then:

g = 2w Eq. 1

2(g+w) = 24 Eq. 2

g = length

w = width

From Eq. 2:

(2*g + 2*w) = 24

2g + 2w = 24

2w = 24 - 2g Eq. 3

Matching Eq. 1 and Eq. 3

g = 24 - 2g

g + 2g = 24

3g = 24

g = 24/3

g = 8 feet

From Eq. 1

g = 2w

8 = 2w

8/2 = w

w = 4 feet

Check:

From Eq. 2

2(g+w) = 24

2(8+4) = 24

2*12 = 24

Answer:

Area of a rexctangle = length * width

Then:

Area = 8feet * 4feet

Area = 32feet²

5 0

1 year ago