Sydney and Riley work at a dry cleaners ironing shirts. Sydney can iron 15 shirts per hour, and Riley can iron 10 shirts per hour. Riley worked 5 more hours than Sydney and they ironed 150 shirts between them. Determine the number of hours Sydney worked and the number of hours Riley worked.

Sydney worked for 4 hours and Riley worked for 9.

Step-by-step explanation:

Riley worked 5 more hours than Sydney we can add the amount of shirts that Riley can do per hour (10) times the extra amounts of hours that the problems says she does (5).

The equation:

15x+10x+50=150

Solving it:

25x+50=150

25x=100

x=4.

Sydney worked for 4 hours ironing shirts and since Riley worked for 5 more hours than Sydney, 4+5=9. Riley worked for 9 total hours.

srry ask agian

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