Answer:
An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.
Answer:
It will take 100 songs for the monthly price of Napster to cost the same as iTunes.
Step-by-step explanation:
Let's create two equations to represent iTunes (T(d)) and Napster (N(d)):
T(d)=0.99d
N(d)=0.89d+10
In order for us to find when the two prices will be the same, let's set the equations equal to each other and solve for x:
0.99d=0.89d+10
0.1d=10
d=100
Answer:
800 miles
Step-by-step explanation:
Let the number of miles be represented by x
Company A for $110 a day plus $0.80 per mile.
$110 + $0.80 × x
110 + 0.80x
Company B charges $30 a day plus $0.90 per mile to rent the same truck.
$30 + $0.90 × x
30 + 0.90x
110 + 0.80x = 30 + 0.90x
110 - 30 = 0.90x - 0.80x
80 = 0.1x
x = 80/0.1
x = 800 miles
800 miles driven per day makes the rental cost for Company A a better deal than Company B's
Answer:
Step-by-step explanation:
If Daniel does 1/9 of the job in one hour
let x = Paul's rate
Paul does 1/x of the job in one hour
They both do the job in 4.95hrs
(1/9)(4.95) + (1/x)(4.95) = job completion
multiply both sides by 9x
(9x)(1/9)(4.95) + (9x)(1/x)(4.95) = 9x(1)
4.95x + 9*4.95 = 9x
4.95x + 44.55 = 9x
9x - 4.95x = 44.55
4.05x = 44.55
x = 44.55/4.05
x = 11 hours i.e time it takes for Paul to pick the 40 bushels alone
