A jar contains sugar. The jar and the sugar have a total weight of 850 g. Anna uses 2/3 of the sugar. The jar and the sugar now have a total weight of 530 g. Work out the weight of the jar.

Step-by-step explanation:

Given

Represent the weight of the Jar with J and the sugar with S

Initially, we have:

After 2/3 of sugar is removed we have:

Required

Determine the weight of the jar

--- (1)

--- (2)

Simplify (2)

Take LCM

Make S the subject in (1)

Substitute 850g - J for S in

Multiply through by 3

Collect Like Terms

Make J the subject

The jar weighs 370g

d

gimmee one of those gold crowns!

~coco

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752