(A) The cost would be $6,600 because 100 guests would be $35 * 100 which is $3,500. Then, add that amount to the cost of the venue. $3,100 + $3,500 = $6,600.
(B) C = $3,100 + (n - 50) * 35
(C) 118 guests
The second one is correct
Answer: 7.8 days
<u>Step-by-step explanation:</u>
Painter can get the job done in 15 days so gets 
of the job done in 1 day.
Coworker can get the job done in 10 days so gets 
of the job done in 1 day.
Together, they get 
of the job done in 1 day.
Painter worked for 3 days so completed 
of the job.
That leaves a remaining of 
of the job to be completed.
Let x represent the number of days it will take them to work together.
Painter + Coworker = Together
Multiply by 30 to eliminate the denominator:
Simplify and solve for x:
2x + 3x = 24
5x = 24
x = 4.8
Remember that Painter worked 3 days alone in addition to the 4.8 days they worked together.
So the total time to paint the building is 3 + 4.8 = 7.8
Answer:
AB = 2*sqrt(5) or
AB = 4.47
Step-by-step explanation:
AB is the hypotenuse of a right triangle A and B and the corner where 2 and 4 meet.
The length of AB is governed by the Pythagorean Theorem.
AB^2 = x^2 + y^2 Substitute 2 and 4 for x and y
AB^2 = 2^2 + 4^2 Expand the right side
AB^2 = 4 + 16 Add the right side
AB^2 = 20 Take the square root of both sides
sqrt(AB^2) = sqrt(20)
Factor 20 = 2*2 *5
Rule: when taking the square root of a number the pairs can take 1 member of the pair outside the root sign and throw the other one a way.
AB = 2 * sqrt(5) One of the roots has been thrown away.
