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True [87]
3 years ago
7

Which of the following equations is equivalent to

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

4a - 40 = 1

Step-by-step explanation:

4/5 a - 8 = 1/5

Multiply each side by 5 to clear the fractions

5(4/5 a - 8) = 1/5 *5

distribute

4a - 40 = 1

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The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m
larisa86 [58]

Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

2L , 2M, 2E , 2R , 3A , F and I

no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words=\frac{13!}{4\times 2!\times 3!}=64,864,800

When M's are together . considering 2 M's as one

therefore there are \frac{12!}{3\times 2!\times 3!}=9,979,200

No of ways=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600

(b)No of ways such that M's are separated by at least 2 letters

at least  2 letter means 2 letter, 3 letter ......11 letters

So we have to subtract no of ways where there are 1 letter in between M's from total no of ways where 2 M's are not next to each other

No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}

=45738000

7 0
2 years ago
D Cuales son cángulos agudo<br>?​
nasty-shy [4]

Ángulo agudo es aquel que mide menos de 90º

6 0
2 years ago
What is the answer
Nastasia [14]

Answer:

both

Step-by-step explanation:

neither of those can be an answer. because x is less than or equal to -1

5 0
3 years ago
У
kramer
Value of y= 18 and value of x= 9 root3
therefore answer is D
7 0
2 years ago
Ashley earns money at a constant rate. Ashley earns $15 in 2.5 hours. We want to know how much money, m, Ashely will earn after
bogdanovich [222]

Answer:

Step-by-step explanation:

$15/2.5hr=$6 so if earnings are y and hours worked is x then

y=6x

6 0
3 years ago
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