Sophie and Jackson are reading the same book. At the beginning of the month, Sophie was on page 20 and Jackson was on page 50. Sophie will read 10 pages per day and Jackson will read 5 pages per day. Let S represent the page of the book that Sophie is on at the end of t days into the month, and let J represent the page of the book that Jackson is on at the end of t days into the month. Graph each function and determine after how many days t Sophie and Jackson will be on the same page of the book.

t = 6 days

Step-by-step explanation:

We can model both cases with linear equations in the form:

y = ax + b

Sophie was on page 20 and she reads 10 pages per day, so her equation is:

S = 20 + 10t

Jackson was on page 50 and he reads 5 pages per day, so his equation is:

J = 50 + 5*t

The graph of those equations are in the image attached (The blue line is for Sophie and the orange line is for Jackson)

To find after how many days they will be on the same page, we can make S = J and then find the value of t:

20 + 10t = 50 + 5t

5t = 30

t = 6 days

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.