Answer:
Each of her friends ate 7/32 of the cake.
Step-by-step explanation:
Given that Fon baked a cake and ate 1/8 of it, and then she shared the remaining cake equally to her 4 friends, to determine what fraction of the whole cake did each of her friends received, the following calculation must be performed:
(8 - 1/8) / 4 = X
(7/8) / 4 = X
(28/32) / 4 = X
7/32 = X
Thus, each of her friends ate 7/32 of the cake.
Answer:
number o students bought pennants = 18
number of student bought fancy ones=12
Step-by-step explanation:
Let x be the number o students bought pennants
and y be the number of student bought fancy ones
total 30 students


Plain pennants cost $4 each and fancy ones cost $8 each.

Substitute 30-x for y in second equation



Subtract 240 from both sides

divide both sides by -4
x=18


number o students bought pennants = 18
number of student bought fancy ones=12
The 6 people be assigned in 720 different ways to chair the subcommittees.
<u>Step-by-step explanation:</u>
Given that,
- There are 6 people to be assigned to the chair committees.
- So, you need to find that in how many ways they can be assigned their seats.
This can be calculated by Permutation.
The number of arrangements in which the order of the objects matters is calculated as permutation.
The permutation is given as ⇒ P = n!
Here we can 6 people to be assigned. Therefore n = 6.
⇒ Number of ways can be arranged = 6!
⇒ 6×5×4×3×2×1
⇒ 720
∴ The 6 people be assigned in 720 different ways to chair the subcommittees.
70+70= 140 points gained minus 145 points lost or 140 - 145= -5 points.