Zoe and Hannah share tips in the ratio 3:7. Last week, Zoe received £24. How much did Hannah receive last week?

Mathematics

2 answers:

valina [46]2 years ago

5 0

Answer:

Hannah received £56 last week

Step-by-step explanation:

Zoe as a ratio of 3 of the tips that was shared with Hannah. if Zoe received £24 for are share of ratio 3, therefore, 1 share ratio is £24/3 = £8.

Since Hannah has 7 share ratio of the tip, and 1 share ratio is £8, therefore, Hannah will receive £8*7 = £56

Therefore Zoe and Hannah share the total ratio of the tips which is 3+7 = 10.

And the total tips shared is £8*10 = £80

frozen [14]2 years ago

4 0

Answer:

Step-by-step explanation:

If the ratio of Zoe; Hannah is 3:7 and Zoe got 24 than we have to divide the 24 by 3 so we can multiply it by 7. This is because since the Zoe is the 3 and it isn't a 1 it isn't the starting point for either of the ratios we cannot multiply the 24 by 7.

24 ÷ 3 = 8

Now we multiply the 8 by 7 so that we know have many tips Hannah made

8 × 7 = 56

Hannah made 56 in tips

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$(A)m\angle 2=125^\circ\\(C)m\angle 8=55^\circ\\(E)m\angle 14=100^\circ$

Step-by-step explanation:

The diagram of the problem is drawn and attached.

Given that:

$m\angle 9 =80^\circ\\m\angle 5 =55^\circ$

$m\angle 5+ m\angle 6=180^\circ\\55^\circ+ m\angle 6=180^\circ\\m\angle 6=180^\circ-55^\circ\\m\angle 6=125^\circ\\$Now:\\m\angle 6 = m\angle 2 $(Corresponging angles)\\Therefore m\angle 2=125^\circ\\$

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$m\angle 9+ m\angle 10=180^\circ\\80^\circ+ m\angle 10=180^\circ\\m\angle 10=180^\circ-80^\circ\\m\angle 10=100^\circ\\$Now:\\m\angle 10 = m\angle 14 $(Corresponging angles)\\Therefore m\angle 14=100^\circ\\$