Kaylee and Josiah are reading the same book. At the beginning of the month, Kaylee was on page 24 and Josiah was on page 50. Kaylee will read 16 pages per day and Josiah will read 14 pages per day. Let K K represent the page of the book that Kaylee is on at the end of t t days into the month, and let J J represent the page of the book that Josiah is on at the end of t t days into the month. Write an equation for each situation, in terms of t , t, and determine what page Kaylee and Josiah will be on on the day they are both on the same page.

They'll be on page 72

Step-by-step explanation:

Kaylee:

Current page = 24

Page per day = 16

Page, K, Kaylee is on at end of t days

K = current page + (page per day * Number of days)

K = 24 + 16t

Josiah:

Current page = 50

Page per day = 14

Page, J, Josiah is in at the end of t days

J = current page + (page per day * Number of days)

J = 50 + 14t

To be on the same page ;

K = J

24 + 16t = 50 + 14t

24 - 50 = 14t - 16t

- 26 = - 2t

t = 13

After 13 days, they'll be on same page :

K = 24 + 16(13)

K = 24 + 48

K =72

They'll be on page 72

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.