Answer: 85 student tickets, 65 adult tickets.
Let's say the # of students is x and the # of adults is y. The two equations we get are 7.50x + 15y = 1612.50 and x + y = 150
x = 150 - y
7.5(150-y) + 15y = 1612.5
1125-7.5y+15y=1612.5
7.5y=487.5
y=65
x=150-65
x=85
Hope this helps!
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
Answer:
Step-by-step explanation:
Rectangle:
length = l = 12 cm
Width = w = 0.8 cm
Use Pythagorean theorem to find the diagonal
Diagonal² = l² + w²
= 12² + 0.8²
= 144 + 0.64
= 144.64
Diagonal = √144.64 = 12.03 cm
Diagonal of square = diagonal of rectangle
= 12.03 cm
To find the side of square again use Pythagorean theorem,
side² + side² = 12.03²
2 sides² = 144.64
side² = 144.64/2
side² = 72.32
side = √72.32
Side = 8.50 cm
The answer is A. 1/(3x+1)