Matthew bought 12 roses for his mother. Exactly 1 of the roses were white. How many of the roses were white?

Mathematics

1 answer:

insens350 [35]2 years ago

8 0

<h3>hello!</h3>

What is $\sf{\displaystyle\frac{1}{4}}$ of 12?

In order to find it, we should divide 12 by 4:-

Now, solve our word problem:-

Matthew bought 12 roses. $\sf{\displaystyle\frac{1}{4} }$ of these roses were white.

And we already know how to solve this problem :)

Hence,

$\bigstar{\boxed{\pmb{3~of~the~roses~were~white}}}$

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

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A wheel spins at 300 revolutions per minute. What is the angular velocity of the wheel, in radians per second? Round the answer

Ostrovityanka [42]

well, this is just a matter of simple unit conversion, so let's recall that one revolution on a circle is just one-go-around, radians wise that'll be 2π, and we also know that 1 minute has 60 seconds, let's use those values for our product.

$\cfrac{300~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{2\pi ~rad}{~~\begin{matrix} r \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{60secs}\implies \cfrac{(300)(2\pi )rad}{60secs}\implies 10\pi ~\frac{rad}{secs}\approx 31.42~\frac{rad}{secs}$