Carlos buys the items listed below at Stop and Shop: • 2 boxes of Oreos for$ 2.99 a box

• 1/2 lb. of bananas at $0.79 per lb.

There is no sales tax. Carlos pays for the items and receives $ 0.62 in change. What amount of money did Carlos use to pay for the items? Write an algebraic equation, solve, check and conclude.

$6.995

Step-by-step explanation:

Based on the information provided in the question, the amount of money that Carlos use to pay for the items will be:

= (2 × $2.99) + (1/2 × $0.79) + $0.62

= $5.98 + $0.395 + $0.62

= $6.995

Based on the calculation above, Carlos paid for the items with $6.995

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

168

step-by-step explanation:

i am pretty sure that the answer is 168