3. Amelia is at the mall buying more school clothes. She purchases one pair
of jeans for $32.00 and 2 tops for
$23.99 each. If sales tax is $5.80, what
was the final cost of her clothes

What is the answer?

The final cost of Amelia's clothes will be $79.98 without sales tax and $85.78 with sales tax.

Step-by-step explanation:

To find the final cost of Amelia's clothes without sales tax, start by writing an equation for the problem, and the equation will look like                                   $$. Next, simplify the equation, which will look like             $$. Then, solve the equation, which will look like $. The final cost of Amelia's clothes without sales tax will be $79.98.

To find the final cost of Amelia's clothes with sales tax, start by writing another equation for the problem, and this equation will look like                     $$$. Next, simplify the equation, which will look like  $$$. Then, solve the equation, which will look like           $. The final cost of Amelia's clothes with sales tax will be $85.78.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

step-by-step explanation:

try remembering the steps