PLEASE HELP!! EARN 50 POINTS!! WILL MARK BRAINLIEST!!!!

Mathematics

1 answer:

STALIN [3.7K]3 years ago

3 0

Answer:

Use demos it is reaaly helpful with this

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Please Help- K + ⅓ = 5 ⅛ | K = ? Show Your Reasoning.

blondinia [14]

Answer:

$4\frac{19}{24}$

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

$K + \frac{1}{3} = 5\frac{1}{8}$

Next thing to to is subtract 1/3 from both sides to get:

$K = 5\frac{1}{8} - \frac{1}{3}$

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

$K = 5\frac{3}{24}$ $-\frac{8}{24}$

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = $\frac{123}{24}$ $-\frac{8}{24}$

Finally, you subtract 123 over 24 by 8 over 24.

K = $\frac{123}{24} - \frac{8}{24} = \frac{115}{24}$

Then just simplfy the 115/24 to get

$4\frac{19}{24}$

8 0

3 years ago

A village fete has a children’s running race each year, run in heats of up to ten children. For each heat the first three contes

bekas [8.4K]

Answer: 1) 1/3,654 2) 3/406 3) 72,684,900,288,000 4) 120

Step-by-step explanation:

1) First and Second and Third

$\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}$