Awoman buys 4metres of cloth costing $40 per metre, and 6metres of cloth costing $45 per metre. how much will she pay altogether?

$430

Step-by-step explanation:

Total cost is simply:

40 × 4 + 45 × 6

= 160 + 270 = $430

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4