All categories

4 years ago

How many different ways can 4 paintings be arranged in a row?

1 answer:

8 0

For this question, the order of the paintings matter, so we can use generic permutation formula.

P = n!/(n-r)!

where:
n= number of paintings
r = number of paintings we are picking (in this case, we are selecting all paintings, as we are rearranging the paintings)

P = 4!/(4-4)!
P = 24/0! = 24 ways

4 paintings can be arranged in 24 different ways.

You might be interested in

By decreasing each dimension by 1 unit, the area of a rectangle deceased from 40 square feet to 28 square feet. Find the percent

arsen [322]

Answer:

30%

Step-by-step explanation:

Initial area is 40 square feet

Final area is 28 square feet

Difference between the initial and final areas will be 40-28=12 square feet

Taking the initial area as the base area and expressing the area change in percentage then the percentage decrease will be equivalent to

$\frac {12\times 100}{40}=30$

Therefore, the decrease in area expressed as a percentage is equal to 30%

8 0

3 years ago

if you make a scale drawing of a tree using the scake 5in =27ft uf the tree is 67.5 ft tall how tall is the scale drawing

shtirl [24]

To get from 27 to 67.5 you multiply 27 by 2.5 so you need to do the same to the 5
5x2.5=12.5
=12.5in

3 0

3 years ago

Solve 2x2 + 20x = −38. (1 point)

RoseWind [281]

Answer:

The solutions are $x=-5+\sqrt{6}$ and $x=-5-\sqrt{6}$

Step-by-step explanation:

we have

$2x^{2} +20x=-38$

Divide by $2$ both sides

$x^{2} +10x=-19$ ------> $x^{2} +10x+19=0$

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} +10x+19=0$

$a=1\\b=10\\c=19$

substitute

$x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}$

$x=\frac{-10(+/-)\sqrt{100-76}}{2}$

$x=\frac{-10(+/-)\sqrt{24}}{2}$

$x=\frac{-10(+/-)2\sqrt{6}}{2}$

$x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}$

$x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}$

8 0

3 years ago

Read 2 more answers

What is 1/4(x+16)-x equal too

schepotkina [342]

<span>1/4(x + 16) - x =

First, distribute the 1/4.

= 1/4x + 1/4 * 16 - x

= 1/4x + 4 - x

= 1/4x + 4 - 4/4x

= 1/4x - 4/4x + 4

= -3/4x + 4

$= -\dfrac{3}{4}x + 4$ </span>