Sally has 2 cats and each cat eats a quarter of a tin of cat food each day.
Sally buys 9 tins of cat food.
For how many days will the cat food feed her 2 cats?
You must show your working.
I

18 days

Step-by-step explanation:

Since each cat eats a quarter of a tin each day, this means the  2 cats eat half of a tin for each day

We can use proportion to solve this problem

Let x be the number of days the two cat will feed on 9 tins

tin  =  1 day

9 tins  =  x

cross-multiply

×  x  =  9

x  = 9

To get the value of x, we will multiply both-side of the equation by 2

2× x  = 9 × 2

At the left-hand side of the equation 2 at the  numerator will cancel-out 2 at the denominator

x = 18 days

Therefore it will take  18 days for the two cats to feed on 9 tins of cat food

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8