Problem situation:

Mathematics

2 answers:

irina [24]4 years ago

5 0

Answer:

X=18

In order for Bernie to make a profit of at least 20$ then he would need to sell 18 cups, meaning X would have to be 18.

Step-by-step explanation:

Add 20+6.50

(You add 6.50 because Bernie spends 6.50 on ingredients so you have to make more than it to make profit at all)

Divide 26.50 by 1.50

You get 17.66666....

Estimate to get 18

Check answer

18*1.50=27

27>26.50

motikmotik4 years ago

3 0

Answer:

9 cups

Step-by-step explanation:

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Given trapezoid abcd with bases ab and cd, draw diagonals ac and bd. let e be the midpoint of ac and f the midpoint of bd. prove

mylen [45]

Consider the picture.

Let MN be the midsegment of the trapezoid.

That is M is the midpoint of AD, N is the midpoint of BC.

Being the midsegment of the trapezoid, MN is parallel to the bases.

Let O and K be the intersections of the diagonals with the midsegment.

MN//AB, so MO//AB, and since M is the midpoint of DA, O must be the midpoint of DB,

Similarly we prove that K is the midpoint of CA.

Thus O is F and K is E.

O and K lie on the midsegment MN, so F and E lie on the midsegment.

MO is a midsegment of triangle ABD so |MO|=1/2 |AB|=1/2 * 10=5

MK is a midsegment of triangle ADC, so |MK|=1/2 * |DC|=1/2 * 22=11

|OK|=|MK|-|MO|=11-5=6 (units)