Lillian can iron 25 per hour. Jacob can iron 20 shirts per hours. Lillian and Jacob combined 13 hours and ironed 295. Determine the number of hours Lillian worked and the number of hours Jacob worked.

x =  7      hous worked by Lillian

y  = 6      hours worked by Jacob

Step-by-step explanation:

Let call  " x  "  and  "  y  "  numbers of hours Lillian and Jacob worked respectively, then according to problem statement we have:

They both combined a total of 13 hours, therefore

x  +  y  =  13    ⇒   y  = 13  -  x

And the number of ironed shirts was  295  then we have

25*x  +  20*y  =  295

We need to solve that system of equations for   x     and    y   then

25*x   +  20 * ( 13 - x ) = 295

25*x   +  260  -  20*x   =  295

5*x  =  295  -  260

5*x  =  35

x  = 35/5

x  =  7

And  y  =  13  -  x    ⇒   y  =  13 - 7

y  =  6

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.