2 years ago

Identify the prime factorization for the given number

Mathematics

1 answer:

Westkost [7]2 years ago

5 0

18s primemail factors are 2×3×3

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3y=2x+15<br> Solve the equation for the y variable?<br> Please help me out on this !!!

sukhopar [10]

Step-by-step explanation:

$3y=2x+15 \:$

$y = \frac{2x + 15}{3}$

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2 years ago

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The volume of a cylinder of radius 3r and height 6r is given by TT(3r)2(6r). Simplify the expression.

OLga [1]

Answer: $\pi 36r^{2}$

Step-by-step explanation:

ALRIGHT ARE YOU READY FOR EPIC MATH TIME?

because i know i am. so lets get this bread.

WATCH: we have $\pi (3r)2(6r)$

interesting... that first character is called pi. maybe i should have said, "lets get this pi".

so now lets do some algebra. i am going to work from right to left. lets multiply 6r by 2. that gives us 12r. now we have... $\pi (3r)(12r)$

WE ARE MAKING EPIC PROGRESS, AREN'T WE?

lets multiply 12r by 3r. then we have....

$\pi 36r^{2}$

notice how i multiplied 12 by 3 and also r by r (which gives 36 and $r^{2}$ respectively)

so your simplified expression is: $\pi 36r^{2}$

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2 years ago

A recipe requires 5/6 of a cup of sugar. If mrs.Marina is going to make one half of the recipe, how much sugar does she need

NemiM [27]

Answer:

$Half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

Step-by-step explanation:

As given

$A\ recipe\ requires\ \frac{5}{6}\ of\ a\ cup\ of\ sugar.$

i.e

$\frac{5}{6}\ cup\ of\ sugar = 1\ recipe$

As the mrs.Marina is going to make one half of the recipe .

$Thus\ multiply\ above\ by\ \frac{1}{2}.$

We get

$\frac{5\times 1}{6\times 2}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

solving the above

$\frac{5}{12}\ cup\ of\ sugar = \frac{1}{2}\ recipe$

$Therefore\ half\ of\ the\ recipe\ requires\ \frac{5}{12}\ of\ a\ cup\ of\ sugar.$

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