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3 years ago

5÷6 is 5/6. what is 1/6 of 5

1 answer:

8 0

$\dfrac{1}{6} \text{ of } 5$

"of" is written as "x" in number statement:
$= \dfrac{1}{6} \times 5$

Write 5 as fraction:
$= \dfrac{1}{6} \times \dfrac{5}{1}$

Multiply:
$= \dfrac{5}{6}$

You might be interested in

Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?

Sonbull [250]

Answer:

$-6 < k < 2$

Step-by-step explanation:

Given

$y = x^2 - 2x$

$y =kx -4$

Required

Possible values of k

The general quadratic equation is:

$ax^2 + bx + c = 0$

Subtract $y = x^2 - 2x$ and $y =kx -4$

$y - y = x^2 - 2x - kx +4$

$0 = x^2 - 2x - kx +4$

Factorize:

$0 = x^2 +x(-2 - k) +4$

Rewrite as:

$x^2 +x(-2 - k) +4=0$

Compare the above equation to: $ax^2 + bx + c = 0$

$a = 1$

$b= -2-k$

$c =4$

For the equation to have two distinct solution, the following must be true:

$b^2 - 4ac > 0$

So, we have:

$(-2-k)^2 -4*1*4>0$

$(-2-k)^2 -16>0$

Expand

$4 +4k+k^2-16>0$

Rewrite as:

$k^2 + 4k - 16 + 4 >0$

$k^2 + 4k - 12 >0$

Expand

$k^2 + 6k-2k - 12 >0$

Factorize

$k(k + 6)-2(k + 6) >0$

Factor out k + 6

$(k -2)(k + 6) >0$

Split:

$k -2 > 0$ or $k + 6> 0$

So:

$k > 2$ or k $> -6$

To make the above inequality true, we set:

$k < 2$ or $k >-6$

So, the set of values of k is:

$-6 < k < 2$

3 0

2 years ago

Find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

laila [671]

$\bf \textit{area of a circle}\\\\
A=\pi r^2\quad 
\begin{cases}
r=radius\\
-----\\
A=452.16
\end{cases}\implies 452.16=\pi r^2\implies \cfrac{452.16}{\pi }=r^2
\\\\\\
\boxed{\sqrt{\cfrac{452.16}{\pi }}=r}\\\\
-------------------------------\\\\
\textit{circumference of a circle}\\\\
C=2\pi r\qquad \qquad \implies C=2\pi \left( \boxed{\sqrt{\cfrac{452.16}{\pi }}} \right)$

so, is just that product, recall to use "<span>3.1416 as the value of π".</span>

7 0

3 years ago

Is 16.275 greater then 16.28

Svetlanka [38]

Answer:

Step-by-step explanation:

16.28 can also be written 16.280 (you could add as many zeros to the end as you want its still the same number)

280 is bigger than 275

8 0

3 years ago

In Fig. 6.28, find the value of x and y and then show that AB || CD.

poizon [28]

Answer:

Maybe 180° -50° = 130°

So I think x= 130°

Step-by-step explanation:

My opinion though

6 0

2 years ago

Please Help!!!

Mkey [24]

The equation looks like this:

26=x*3.5+8.50

where x is the number of pen you bought.

We solve it like this:
first, we subtract 8.50 from both sides:

17.50 =3.5*x

now we divide both sides by 3.5:
5=x

so you purchased 5 pens.

3 0

2 years ago