Answer:
£42
Step-by-step explanation:
The ratio of Richard's amount to Stephen's amount is ...
R : S = 3 : 1
The ratio of Natasha's amount to Richard's amount is ...
N : R = 2 : 1 = 6 : 3
Then the ratio of all three amounts is ...
N : R : S = 6 : 3 : 1
The proportion of the total that Natasha gets is ...
6/(6+3+1) = 6/10
so she gets ...
(6/10)×£70 = £42
Natasha gets £42.
9514 1404 393
Answer:
Step-by-step explanation:
The equation for the total number of cases is ...
x + y = 20
The equation for the total cost of the cases is ...
20x +30y = 450
_____
<em>Additional comment</em>
The solution to these equations is (x, y) = (15, 5).
Answer:
28 m
Step-by-step explanation:
The longer side can be found using the Law of Cosines. The semi-diagonals are of length 12 and 20 m, and the angle between them facing the long side is 180° -60° = 120°.
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 12^2 +20^2 -2·12·20·cos(120°) = 144 +400 +240 = 784
c = √784 = 28
The longer side is 28 meters.
Answer:
6 2/3 minutes
Step-by-step explanation:
Their rates in "jobs per hour" are ...
(60 min/h)/(15 min/job) = 4 jobs/h
and
(60 min/h)/(12 min/job) = 5 jobs/h
So, their combined rate is ...
(4 jobs/h) + (5 jobs/h) = 9 jobs/h
The time required (in minutes) is ...
(60 min/h)/(9 jobs/h) = (60/9) min = 6 2/3 min
Working together, it will take them 6 2/3 minutes.
Answer:find the area i gaurntee once you do that you will start to get the problem
Step-by-step explanation:
