For the first problem, a "fifth" means divided by 5, so "four-fifths of b" means
or
Subtract means to take away, so "6 subtracted from" means to "take away 6" or -6
As such, the answer to the problem would be
The rest the problems are also just translating English to math.
Let Upper Level = x
Middle level = 2x+40
Lower level = 3x-50
The sum of those 3 has to equal 15,002 seats.
X + (2x+40) + 3x-50) = 15, 002
Simplify the left side by combining the like terms:
6x - 10 = 15,002
Add 10 to each side:
6x = 15,012
Divide both sides by 6 to solve for x:
X = 15012 / 6
X = 2502
The upper level is X , so has 2,502 seats.
Middle level = 2x +40 = 2(2502) +b40 = 5004 + 40 = 5,044 seats
Lower level = 3x-50 = 3(2502) -50 = 7506 - 50 = 7,456 seats
Answer:
Solution is given below
Step-by-step explanation:
f(x+1) = 2.5f(x) is an example of a recursion formula
Use what we know about f(1) to find f(2). Then use f(2) to find f(3), etc.
f(1) = 3.2
f(2) = f(1+1) = 2.5f(1) = 2.5(3.2) = 8
f(3) = f(2+1) = 2.5f(2) = 2.5(8) = 20
f(4) = f(3+1) = 2.5f(3) = 2.5(20) = 50
f(5) = f(4+1) = 2.5f(4) = 2.5(50) = 125
and for f(x+1)=5/2
f(x + 1) = (5/2)(f(x))
f(1 + 1) = (5/2)(3.2)
f(2) = 8
Answer:
11 √2
Step-by-step explanation:
The kind of triangle we have here is the 45 triangle
In this kind of triangle, the adjacent and the opposite are the same
The ratio of the sides are;
1:1: √2
The root represents the length of the hypotenuse
so the length is 11 multiplied by √2 = 11 √2
