50% is equal to 5/10 so 5/10 were party cakes 1/5x2=2/10 so 2/10 were fruit cakes 5/10+2/10=7/10 so 10/10 which is 100% of all cakes 10/10-7/10=3/10 so 3/10 of the cakes were sponge cakes.
Answer:
Cost to arrange the event for 5 attendees will be $20.
Step-by-step explanation:
We have to solve this question by calculating the unit rates or unitary method.
Since cost to arrange corporate team building event for 3 attendees is = $12
Cost to arrange the event for 1 attendee will be = 
= $4
Therefore, cost to arrange the event for five attendees will be = 5×4 = $20
Answer:
0.08
Step-by-step explanation:
Please use parentheses to indicate which operations must be done first. I 'm choosing to believe that you meant 7^(3x-1) and 5^(x-1).
Taking the common log of both sides, we get:
(3x-1)log 7 = (x-1)log 5
Then 3x·log 7 - log 7 = x log 5 - log 5
Grouping the x terms:
x(3·log 7 - log 5) = log 7 - log 5. We combine log 7 and log 5, obtaining log (7/5).
Then x(3·log 7 - log 5) = log (7/5).
Solving for x:
log (7/5)
x = ---------------------
3·log 7 - log 5
0.1461
x = ------------- = 0.08
1.0363
This agrees with the 3rd answer choice.
Step-by-step explanation:
BC is the bisector of 
From equations (1) & (2)
(Because sides opposite to equal angles are equal)
Hence Proved
