Answer:
b=4
Step-by-step explanation:
4b + 5 = 1 + 5b
Subtract 4b from each side
4b-4b + 5 = 1 + 5b-4b
5 =1+b
Subtract 1 from each side
5-1 = 1-1+b
4 =b
Answer:
3.49 inches
Step-by-step explanation:
circumference = 2(2)(π) = 12.56 inches
(100/360)(12.56) = 3.49 inches
Answer:
x>3
Step-by-step explanation:
We are given with the inequation 3(8-4x) < 6(x - 5)
Dividing both sides in the above in equation by 3 we get
(8-4x)<2(x-5)
Distributing 2 over (x-5)
(8-4x)<2x-10
8-4x<2x-10
adding 10 and 4x on both hand sides we get
8+10<2x+4x
18<6x
Dividing both sides by 6 we get
3<x
Hence the solution to the given in equation is x>3
Answer:
the answer is 18
Step-by-step explanation:
216/12=18
<h3>
Answer:</h3>
50 people
<h3>
Step-by-step explanation:</h3>
Let x represent the number of people on the cruise. The amount they each must pay is ...
... ($58 -(x -42)) = $100 -x
The revenue from the group is the product of the number of people and the amount each pays:
... r(x) = x·(100 -x)
This describes a downward-opeing parabola with zeros at x=0 and x=100. The vertex (maximum) will be found halfway between those zeros, at x=50.
A group size of 50 maximizes revenue from the cruise.