Anna can text much faster than her mother, joanna. on average, it takes joanna two minutes to send a text; on average, anna takes 40 seconds to send a text. how long will it take the two of them to send a total of 84 texts if they start texting at the same time?

42 min

Step-by-step explanation:

Joanna takes 2 mins to send a text.

2 mins = 2 x 60 sec = 120 sec

Anna takes 40 seconds to send a text

120 ÷ 40 = 3

Anna can text 3 messages in 120 sec

Together, in 120 sec ,

both of them can send out 1 + 3 = 4 texts

Number of 120 seconds needed to send 84 texts

= 84 ÷ 4

= 21

Number of seconds needed

= 21 x 120

= 2520

25020 sec = 2620 ÷ 60 min = 42 min

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

a. -0.3 > -0.33