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blagie [28]
3 years ago
9

An art gallery has eight new paintings, all the same size, but enough room on the wall for six of them. How many ways can the di

rector arrange the eights paintings on the wall?
28
48
20,160
40,320
Mathematics
2 answers:
umka21 [38]3 years ago
8 0

That would be 8P6  = 20160 answer

7nadin3 [17]3 years ago
6 0

The order matters.

k objects can be chosen out of n objects, when the order matters, in P(n,k)=\dfrac{n!}{(n-k)!} ways.

So, the answer is P(8,6)=\dfrac{8!}{2!}=3\cdot4\cdot5\cdot6\cdot7\cdot8=20,160 ways.

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A jacket costs 50$ at the store Evan has a coupon for 15$ off.Max pays only 0.6 of the price because his father works at the sto
Arturiano [62]

Answer:

Step-by-step explanation:

The original price of the jacket at the store is $50.

Evan has a coupon for 15$ off. This means that the amount that Evans will pay is the original price - 15% of the original price. It becomes

50 - (15/100 × 50) = 50 - 7.5 = $42.5

Max pays only 0.6 of the price because his father works at the store.

This means that the amount that Max will pay is 0.6 × the original price. It becomes

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6 0
3 years ago
David was trying to sleep one night but there was too much noise around him? His clock ticked every 5 seconds , a tap was drippi
Monica [59]

Answer:

A) 420 seconds = 7 minutes

B) 8 times

Step-by-step explanation:

A) After how many second would all three things happen together again?

Solution:

His clock ticked every 5 seconds , a tap was dripping every 7 seconds and     his pet dog snored every 12 seconds. It all happens simultaneously = 5*7*12=420 seconds

B) How many times would all three things happen together again between    midnight and one o'clock

Since all these events happen together after every 420 sec = 7 mins and there are 60 mins between midnight and 1 o'çlock , thus 60/7 = 8 times ....

7 0
3 years ago
Find the surface area of the sphere with the given dimension. Leave your answer in terms of π. Sphere with radius of 60 m.
prohojiy [21]
The surface area of a sphere is given by A=4 \pi  r^{2} where r represents the radius.

As the radius is given as 60 meters we replace r with 60 in the formula above to get the surface area.

A=4 \pi ( 60^{2} )=14400 \pi
6 0
3 years ago
SOMEONE PLEASE HELP ME
goldfiish [28.3K]

Answer:

First break up 72 into

36 x 2 x -1

Then take the square root of 36

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Finally make square root -1 = i

6i square root 2 is your answer

Step-by-step explanation:

7 0
3 years ago
Show work please do
quester [9]
Here is your answer! I hope this helps.

6 0
3 years ago
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