Nr of chocolates = c
nr of bags of 5 = a
nr of bags of 7 = b
50<c<70
c=5*a+2
c= 7*b-1 therefore b can be max 10 (if b=11 then c=76>70 can't do)
let's say b=10 then c=69 but in this case a=13.4 not integer (also can't do)
let's say b=9 then c=62 then a = 12 wich is ok
solution 1 c=62
let's also try for b=8 wich means c=55 and a=10.6, not integer, not ok again
and also for b=7 wich means c=48 but 48<50 so no go again and also for b<7 wich means c will grow smaller and smaller
so the only solution is c=62
To divide fractions, you multiply the reciprocal of the divisor, so the related multiplication expression to 1/6 / 5 would be...
1/6 x 1/5
Answer:
70 - 80 foot per second
Step-by-step explanation:
Multiply the speed value by 1,467
scientist A dissolved 1 kg of salt in 3 litres.
scientist B dissolved 20 pounds of slat in 7 pint of water.
we know that 1 pound =0.543 g
20 pounds=9.07 kg.
1 pint=0.5 litres
so 7 pints =3.5 litres
so dissoving 1 kg of salt in 3 litres of water and 9.07 kg in 3.5 litres of water
we know that for concentration kg/l units is used .
for A= 1/3=0.33kg/l
and B=9.07/3.5=2.59 kg/l.
so scientist A has prepared more concentrated solution .
Answer:
ST is longest
Step-by-step explanation:
- <em>Theorem: </em>
- <em>If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side</em>
The values of the angles are:
- ∠S= 50°,
- ∠T= 60°,
- ∠R= 180°- (50°+60°)= 180° - 110° = 70°
Since ∠R is the largest angle, the side ST is longest