Answer:
1) either 5 or 6 students in the group
2) 6 rooms are booked
Step-by-step explanation:
1) x students
3x + 8 = apples
5 (x-1) + y (the one get less than 5 apples)
3x + 8 = 5 (x - 1) + y
3x + 8 = 5x - 5 + y
2x + y = 13
X 1 2 3 4 5 6
Y 11 9 7 5 3 1
because y < 5 so x = 5 or x = 6
2) x rooms are booked
4x + 20 total students
8 (x-1) + y (the students in room not full))
4x + 20 = 8 (x-1) + y
4x + 20 = 8x - 8 + y
4x + y = 28
X 1 2 3 4 5 6
Y 24 20 16 12 8 4
y < 8 answer is 6 rooms
Answer:
1
Step-by-step explanation:
Since there are no common prime factors, the only common factor for c²d² is 1, therfore it stays as is, c²d².
I am joyous to assist you anytime.
So discriminant is being counted from that equation:
b^2-4ac = 36-36 = 0
As discriminant is 0, then there is just 1 root -> -b/2a = 6/2 = 3.
Answer:
Decimal = 0.05
Percentage = 5%
Explanation:
Total count : 20
Sarah count : 1
probability = favorable outcomes/total outcomes
= 1/20
= 0.05
Answers:
Angle T = 79 degrees
Angle V = 14 degrees
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Work Shown:
T + V = 93
(2x+85) + (5x+29) = 93
7x+114 = 93
7x = 93-114
7x = -21
x = -21/7
x = -3
This x value is used to find each angle mentioned.
- Angle T = 2x+85 = 2(-3)+85 = -6+85 = 79 degrees
- Angle V = 5x+29 = 5(-3)+29 = -15+29 = 14 degrees
As a check, T+V = 79+14 = 93 which confirms our answers.