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3 years ago

How many different arrangements of 5 letters can be made from the 26 letters of the alphabet?

1 answer:

5 0

Answer: P(26,5).

That is all the possible combinations of 5 letters made out from 26 letters.

That is 26! / [ 5! ( 26 - 5)! ] = 26! / [5! 21! ] = 26*25*24*23*22*21! / [ 5! 21!] =

= 26*25*24*23*22 / [5*4*3*2*1] = 65,780 arrangements.

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Sheila will add 8 ounces of yellow paint to the mixture

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2 years ago

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Which equations have the same pair of solutions? Select all that apply. n(n + 3)(n - 4) = 0 2n(4n + 6)(6n - 4) = 0 0 = 2n(6 - 4n

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Answer:

2, 4, 5, and 6 have the same pair of solutions.

Step-by-step explanation:

1. n(n+3)(n-4) = 0

2. 2n(4n+6)(6n-4) = 0

3. 2n(6-4n)(4n-6n) = 0

4. n(2n+3)(3n-2) = 0

5. 2n(2n+3)(3n-2) = 0

6. 3n(6n+9)(9n-6) = 0

Answers:

1. n = 0, -3, 4

2. n = 0, -3/2, 2/3

3. n = 0, 3/2

4. n = 0, -3/2, 2/3

5. n = 0, -3/2, 2/3

6. n = 0, -3/2, 2/3

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3 years ago

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daeshon is in the math club. there are 21 students in the club. the math teacher will pick 2 students at random to guide visitin

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Answer:

there are 19 unfavorable spots in 21 for Daeshon,

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3 years ago

The town council voted to set aside a rectangular plot of land for a new university campus. The plot has an area of 78,125 squar

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Given : The Rectangular Plot has an Area of 78125 m²

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3 years ago

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A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12% vinegar. The chef wants to make 320 mi

EastWind [94]

Answer:

40 mL of vinegar,

280 mL of dressing

Step-by-step explanation:

Let v = the milliliters ( mL ) of 100% vinegar,

Then it should be that 320 - v = mL of dressing.

v + .12( 320 - v ) = .23( 320 ) - So in this case the mL of vinegar is associated with the percent of vinegar composed. 100 percent is, in other words, 1, and is multiplied by " v " the mL of 100% vinegar. 1 $*$ v is also v, and so is written as such in our equation. 0.12 is the decimal form of the 12% vinegar, associated with the mL of dressing - as the italian dressing is composed of 12% vinegar. 23% is 0.23 in decimal form, multiplied by the mL of of vinegar in the mixture, 320 mL.

Let's solve for the mL of 100% vinegar, subtracting from 320 to receive the mL of dressing,

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v + 38.4 - 0.12v = .23( 320 ) - Multiply " 0.32 " by " 320 "

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0.88v = 35.2 - Divide 0.88 on either side

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