Arnold uses a recipe to make rock cakes. The ingredients are self-raising flour, butter and sugar in the ratio 7:3:2 by weight. Arnold has 900 g of self raising flour, 600g of butter and 450g of sugar. Each rock cake needs about 48 grams of mixture. Work out the largest number of rock cakes that Arnold can make.

After t seconds, a ball tossed in the air from the ground level reaches a height of h feet given by the equation h = 144t-16t^2. after how many seconds will the ball hit the ground before rebounding?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?

What is the slope of the line shown below?