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3 years ago

What is the reciprocal of 1 and 2/3?

Mathematics

1 answer:

mr_godi [17]3 years ago

7 0

Answer: 3/5

Step-by-step explanation: To find the reciprocal of 1 and 2/3, we first need to convert 1 and 2/3 to an improper fraction.

To write a mixed number as an improper fraction, first multiply the denominator times the whole number, then add the numerator.

So here, we multiply the denominator, 3, times the whole number, 1, then we add the numerator. So we have (3 x 1) + 2 or 3 + 2 which is 5.

Now we put our new number over our old denominator and we get 5/3.

However, we're not done yet. We still need to find the reciprocal.

The reciprocal describes a fraction so when we're asked to find the reciprocal of 5/3, we want to switch the numerator and denominator.

So if we switch 5/3, we get the proper fraction 3/5.

Therefore, the mixed number 1 and 2/3 is equivalent to the improper fraction 5/3, and if we switch the top and bottom numbers, we get 3/5.

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Roslan had a total of $50 in 10-cent coins,20-cent coins and 50-cent coins. The value of his 10-cent coins was 30% of the total

Len [333]

Answer:

$21

Step-by-step explanation:

Provided total value = $50

$50 = 5,000 cents.

We are provided,

10 cent coins value = 30% of total value

= 0.3 $\times$ 5,000 cents = 1,500 cents

Value of 20 cents coin = 28% of total value

= 0.28 $\times$ 5,000 cents = 1,400 cents

Therefore, remaining value of cents = Total value of 50 cents coins

5,000 cents - value of 10-cent coins - value of 20-cent coins = total value of 50 cents coins

5,000 - 1,500 - 1,400 = 2,100 cents = $21

Which means number of 50 cents coin = $\frac{2,100}{50} = 42\ coins$

Alternatively,

To calculate value of 50 cent coins

Total value = 100%

Value in 10-cent coins + 20-cent coins = 30% + 28% = 58%

Value in 50-cent coins = 100 - 58 = 42%

= $50 $\times$ 42% = $21

4 0

3 years ago

there are 8 people fishing at lake connor: 5 have fishing licenses, and 3 do not. an inspector chooses two of the people at rand

lianna [129]

Answer:

3 have a license, 5 do not have a license

the first choice is 5 out of 8, or 5/8

the second choice is 4 out of 7, or 4/7

(5/8)*(4/7)=20/56=10/28=5/14

another way to look at it is...

how many ways can you choose 2 people out of 8 people ?

8!/2!(8-2)!=8!/2!*6!=8*7/2=56/2=28 ways

how many ways can you choose 2 people out of 5 people ?

5!/2!(5-2)!=5!/2!*3!=5*4/2=20/2=10

10/28=5/14 again

call the 5 people who don't have a license A,B,C,D, and E

how can they be paired together ?

AB,AC,AD,AE,BC,BD,BE,CD,CE, and DE for a total of 10

again 10/28=5/14

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3 years ago

Consider the random variables X and Y with joint density function ???? f(x,y)= x+y, 0≤x≤1;0≤y≤1 0, elsewhere. (a) Find the margi

sp2606 [1]

a. The marginal densities

$f_X(x)=\displaystyle\int_0^1(x+y)\,\mathrm dy=x+\frac12$

and

$f_Y(y)=\displaystyle\int_0^1(x+y)\,\mathrm dx=y+\frac12$

b. This can be obtained by integrating the joint density over [0.25, 1] x [0.5, 1]:

$P(X>0.25,Y>0.5)=\displaystyle\int_{1/4}^1\int_{1/2}^1(x+y)\,\mathrm dx\,\mathrm dy=\frac{33}{64}$

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3 years ago

How much taxes do I pay if the taxes are 2.5% and I make 80,000 a year?

Natali [406]

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= 2.5 * 800
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arsen [322]

The answer is twelve.

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