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worty [1.4K]
3 years ago
6

How many different arrangements of the letters in the word "PURPLE" are there?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0
So if you had 6 distinct letters, then you would have 6! = 6*5*4*3*2*1 = 720 different ways to arrange them however, you have two copies of P that are indistinguishable, so we double counted when we got 720, which is why we must divide by 2 to get 720/2 = 360
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A square is made up of an L-shaped region and three transformations of the region. If the perimeter of the square is 40 units, w
Mila [183]

Answer:

20 units

Step-by-step explanation:

This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.

Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.

Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.

Perimeter of each L-shape region = the addition of the length of each side of the shape

Perimeter of each L-shape region = 8 + 5 + 5 + 2

                                                         = 20 units

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3 years ago
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Nina [5.8K]
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6 0
3 years ago
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Sveta_85 [38]
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5 0
3 years ago
A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure anti
Dimas [21]

Answer:

42 gallons 45% antifreeze

28 gallons 95% antifreeze

Step-by-step explanation:

If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:

x + y = 70

And the total amount of antifreeze is:

0.45 x + 0.95 y = 0.65 (70)

Solving by substitution:

0.45 x + 0.95 (70 − x) = 0.65 (70)

0.45 x + 66.5 − 0.95 x = 45.5

21 = 0.5 x

x = 42

y = 28

7 0
3 years ago
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Distance after 1 minute = speed * time = 275 * 60 = 16,500 feet
Let the altitude of the plane be y, then
sin 18 = y/16500
y = 16500 sin 18 = 5,098.78 feet
8 0
3 years ago
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