When class 11Y1 found that their favourite teacher, Mr Musson, was leaving they decided to organise a party for him. Lewis, one of the class members, wants to buy 38 cartons of juice. He can buy a single carton of juice for 45p. He can buy a pack of 4 cartons for £1.56 Lewis buys all the cartons he needs for the least possible amount of money. How much did he spend?​

Lewis spent £14.82.

Step-by-step explanation:

Total number of cartons of juice Lewis bought = 38

i. If 1 carton of juice = 45 p, then;

Lewis would spend = 38 x 45 p

                                = 1710 p

Since 100 p = £1, then;

1710 p =

           = £17.10

Lewis would have spent £17.10.

ii. If 4 cartons = £1.56, then;

= 9.5

Lewis would have spent = £1.56 x 9.5

                                         = £14.82

Given that he bought the cartons of juice for the least possible amount. Thus, Lewis spent £14.82.

i pretty sure it is

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).