The ratio of money in terry's bank account to faye's bank account was 3: 7. terry then put £220 in his account and faye withdrew £300 from her account. they now had the same amount in their accounts. how much did faye initially have?

£910

Step-by-step explanation:

let 3x and 7x be the initial amounts in their accounts, then after alterations

Terry has 3x + 220

Faye has 7x - 300

After these changes the amounts are equal, hence

7x - 300 = 3x + 220 ( subtract 3x from both sides )

4x - 300 = 220 ( add 300 to both sides )

4x = 520 ( divide both sides by 4 )

x = 130

Faye initially had 7 × £130 = £910 in her account

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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