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2 years ago

13

Find the quotient of 4/15 ÷ 1/6

1 answer:

Molodets [167]2 years ago

8 0

4/15 = 0.266666....
1/6 = 0.6666666 ....

$\frac{4}{15}$ ÷ $\frac{1}{6}$ =

0.04444444...

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(Use the Distributive Property to find an equivalent expression)<br> 2(3x-7y) = ?

IRINA_888 [86]

Answer:

(7y-3x)2

Step-by-step explanation:

It's the same thing but backwards

I hope this helps

6 0

2 years ago

From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th

wel

Answer:

$\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}$

Step-by-step explanation:

The <u>width</u> of a square is its <u>side length</u>.

The <u>width</u> of a circle is its <u>diameter</u>.

Therefore, the largest possible circle that can be cut out from a square is a circle whose <u>diameter</u> is <u>equal in length</u> to the <u>side length</u> of the square.

<u>Formulas</u>

$\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}$

$\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

$\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

If the diameter is equal to the side length of the square, then:
$\implies \sf r=\dfrac{1}{2}s$

Therefore:

$\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}$

So the ratio of the area of the circle to the original square is:

$\begin{aligned}\textsf{area of circle} & :\textsf{area of square}\\\sf \dfrac{1}{4}\pi s^2 & : \sf s^2\\\sf \dfrac{1}{4}\pi & : 1\end{aligned}$

Given:

side length (s) = 6 in
radius (r) = 6 ÷ 2 = 3 in

$\implies \sf \textsf{Area of square}=6^2=36\:in^2$

$\implies \sf \textsf{Area of circle}=\pi \cdot 3^2=28\:in^2\:\:(nearest\:whole\:number)$

Ratio of circle to square:

$\implies \dfrac{28}{36}=\dfrac{7}{9}$

5 0

2 years ago

cortez is purchasing a patio heater for 161.65 including tax. he gives the sales clerk 2 fifty-dollar bills 2 twenty-dollar bill

scoundrel [369]

He should receive 8.35$ if you subtract it.

4 0

3 years ago

Read 2 more answers

Which two functions are inverses of each other?

liraira [26]

Answer:

Option 3 - f(x)= 4x, $g(x) = \frac{1}{4}x$

Step-by-step explanation:

To find : Which two functions are inverses of each other?

Solution :

Two functions are inverse if $f(g(x))=x=g(f(x))$

Now, we find one by one

1) f(x)= x, g(x) = -x

$f(g(x))=f(-x)=-x\neq x$

Not true.

2) f(x)= 2x, $g(x) = -\frac{1}{2}x$

$f(g(x))=f(-\frac{1}{2}x)=2\times(-\frac{1}{2}x)=-x\neq x$

Not true.

3) f(x)= 4x, $g(x) = \frac{1}{4}x$

$f(g(x))=f(\frac{1}{4}x)=4\times(\frac{1}{4}x)=x$

$g(f(x))=f(4x)=\frac{1}{4}\times 4x=x$

i.e. $f(g(x))=x=g(f(x))$ is true.

So, These two functions are inverse of each other.

4) f(x)= -8x, $g(x) =8x$

$f(g(x))=f(8x)=8\times(-8x)=-64x\neq x$

Not true.

Therefore, Option 3 is correct.

6 0

3 years ago

(10x5)+(30+20)x10-100-1=

Flauer [41]

Answer:

899 would be your answer

Step-by-step explanation:

10x5=50

50+30=80

80+20=100

100x10=1000

1000-100=900

900-1=899

Hope this helps you!

5 0

3 years ago

Read 2 more answers