Answer:
2z+6 or 2(z+3) are the equivalent expressions
Step-by-step explanation:
z+(z+6)
opening the brackets
z+z+6
=2z+6
or if we take 2 as common the answer is
=2(z+3)
i hope this will help you :)
Answer:

Step-by-step explanation:
Look at the component form of each vector.
Note that vector c is <4,4> and vector d is <-2,-2>
If one imagined the line that contained each vector, the line for both would have a slope of 1, because 
Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).
If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector. This means that there is some number "k", such that
, or equivalently,
and
.
If
and
, we just need to substitute known values and solve for k:

Double checking that k works for the y-coordinates as well:

? 

So, 
Answer:
5 children
Step-by-step explanation:
7 adults = $70
5 children = $25
total= 12 people
○○○○○○○○○○○○○○○
therefore 5 children went
○○○○○○○○○○○○○○○
Answer:
-12 < p
Step-by-step explanation:
28 > 4 – 2p
Subtract 4 from each side
28-4 > 4-4 – 2p
24 > -2p
Divide each side by -2, remembering to flip the inequality
24/-2 < -2p/-2
-12 < p