io is paid 1.4 times his normal hourly rate for each hour he works over 29 hours in a week. Last week he worked 41 hours and earned $609.14. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable. The earnings equation is $609.14 = . Julio's hourly rate is $ per hour. This is reasonable because working 41 hours at a rate of $13 per hour is 41 · 13 = 41(10 + 3) = 410 + 123 = , and $ is close to $609.14.

x+y=90

x=30-y=x

step-by-step explanation:

if you understand you will get the answer

the answer is 175.4379

step-by-step explanation:

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

lol

step-by-step explanation: