PLEASE HELP simplify the expression: 2/3÷(-4)-[ 1/6-8/6] A. 1 B. 29/24. C. -24/17. D. 23/24

A. 1

Step-by-step explanation:

2/3 ÷ (-4) - (1/6-8/6)

Solve for brackets.

2/3 ÷ (-4) - (-7/6)

2/3 ÷ (-4) + 7/6

-2/12 + 7/6

Make denominators equal.

-2/12 + 14/12

12/12

= 1

the answer is d

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week