Maddy is carrying a
55
5
5
liter jug of sports drink that weighs
7.5 kg7.5\text{ kg}
7.5 kg
7, point, 5, start text, space, k, g, end text
. She wants to know how many kilograms a
22
2
2
liter jug of sports drink would weigh
(w)(w)
(w)
left parenthesis, w, right parenthesis
. She assumes the relationship between volume and weight is proportional.
What is the weight of the
22
2
2
liter jug?

Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ∠dab = x, and ∠abc = 90◦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ∠pad = ∠pbc. but pab is isosceles, hence ∠pab = ∠pba. subtracting, gives x = ∠pad−∠pab = ∠pbc −∠pba = 90◦. this is a preposterous conclusion – just where is the mistake in the "proof" and why does the argument break down there?

To solve the system of equations below, grace isolated the variable y in the first equation and then substituted into the second equation. what was the resulting equation? 3y=12x x^2/4+y^2/9=1

Tod does not have any cookies. david gives jeff 8 cookies. then he splits half of the cookies he has left with tod. david let’s c represent the number of cookies that he starts with. he finds the number of cookies that tod has is 1/2 the difference of c and 8. write an expression to represent the number of cookies that tod has.