Anna is preparing 30 days of dessert for her pet beetle. she starts by mixing 3.67 grams of pureed ants with a 1.43 gram blueberry. she then divides the mixture into 30 equal parts, one for each day. The international federation of beetle should have 0.15 grams of such a dessert each day. over the course of a seven day week, how many more grams of dessert will anna's beetle have eaten than the recommended amount?

0.14g

Step-by-step explanation:

Anna is preparing 30 days of desert for her pet beetle.

She starts by mixing 3.67g of pureed ants with a 1.43g blueberry.

She then divides the mixture into 30 equal parts, one for each day.

The international federation of beetle should have 0.15g of such a dessert each day.

For each day Anna's pet eat:

g

For seven days, the pet will have eaten;

0.17g × 7 = 1.19g

The international federation require that a beetle should eat;

0.15g × 7 = 1.05g

So Anna's beetle will have eaten 1.19g - 1.05g = 0.14g more than the recommended amount.

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.