Fred wants to but two teeshirt. The first shop sells them for £11.45 each and it is buy one get one half price. The second shop sells them for £10.16 each and there is 20% off sale. Which is the better value?

the second shop gives a better value.

Step-by-step explanation:

The number of T-shirts that Fred wants to buy is 2.

The first shop sells them for £11.45 each and it is buy one get one half price. This means that the total amount that he would pay for the 2 shirts is

11.45 + 11.45/2 = £17.175

The second shop sells them for £10.16 each and there is 20% off sale. The amount off the cost of both shirts is

20/100 × (10.16 × 2) = £4.064

This means that the amount that he would pay for the 2 shirts is

20.32 - 4.064 = £16.256

Therefore, since £16.256 is lower than £17.175, it means that the second shop gives a better value.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.