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3 years ago

HELPPP ASAP 10 POINTS

Mathematics

1 answer:

Lena [83]3 years ago

7 0

99 i think cuz 11 times 9

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find four consecutive even integers such that the sum of the third and fourth is 6 less than four times the first

lisabon 2012 [21]

Answer:

The numbers are 2, 4, 6 and 8

Step-by-step explanation:

let the four numbers be x, y, z and l respectively

then:

x+y+z+l

(z+l)–6=4x

since they are all four consecutive even integers

then y=x+2

z=y+2=x+4

l=z+2=x+6

since (z+l)–6=4x

then ((x+4)+(x+6))–6=4x

2x+4=4x

4=4x–2x

4=2x

2=x

5 0

3 years ago

Write 25*24*23*22 as a quotient of factorials and as a permutation

Kipish [7]

Answer:

(a)

$25\times 24\times 23\times 22=\frac{25!}{21!}$

(b)

$25\times 24\times 23\times 22=P(25,4)$

Step-by-step explanation:

Quotient of factorials:

we are given

$25\times 24\times 23\times 22$

we can multiply top and bottom term by 21!

$25\times 24\times 23\times 22=\frac{25\times 24\times 23\times 22\times 21!}{21!}$

we can write as

$25\times 24\times 23\times 22=\frac{25!}{21!}$

As a permutation:

we know permutation formula

$P(n,r)=\frac{n!}{(n-r)!}$

now, we can compare and find 'n' and 'r'

$n=25$

$n-r=21$

we can plug back n=25

$25-r=21$

$r=4$

so, we can write

$25\times 24\times 23\times 22=P(25,4)$

5 0

3 years ago

Circle O has a circumference of 88 cm. What is the length of the radius of the circle?

Pachacha [2.7K]

Answer is 44cm

Step-by-step explanation:

4 0

3 years ago

What is the solution of each proportion? <br> 4/9=m/54

Alex

It is M=24 your welcome

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to 4(12+5)+3?

AVprozaik [17]

Answer:

I think it is 17/85

Step-by-step explanation:

1/5. = 2/10. = 3/15. = 4/20. = 5/25. = 6/30. = 7/35. = 8/40. = 9/45. = 10/50. = 11/55. = 12/60. = 13/65. = 14/70. = 15/75. = 16/80. = 17/85

5 0

3 years ago