Cathy found a part time job for the summer. Each week , when she works up to 10 hours she earns a regular hourly wage if she works more than 10 hours each week , she earns more money per hour for overtime hours. She worked 14.5 hour during the first week. Her paycheck before taxes and deduction was $93.75. The second week she worked 12 hours and her paycheck before taxes and deduction was $75.00. Cathy boo had told her what her hourly and overtime rates were but cathy was so excited to get the job that she couldn't remember what she was told. Write a system of equations for Cathys hourly and overtime pay rates.

he spend 5.1 minutes chatting with his friends.

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5.1

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

answer: 0.1,0.85

step-by-step explanation: