In the question there are numerous information's of immense importance already given. Let us write them down first
Distance traveled by bike = x km
Distance traveled by bus = y km
Total distance traveled by George and Carmen = 325 km
Then
x + y = 325
Another equation can be determined by
x - y = 75
x = y + 75
Now we will put the value of x in relation to y in the first equation.
x + y =325
y + 75 + y = 325
2y = 325 - 75
2y =250
y = 250/2
= 125 km
Now putting the value of y in equation given below, we get
x + y = 325
x + 125 = 325
x = 325 - 125
= 200 km
So the distance they biked is 200 km and the distance they traveled by bus is 125 km.
Vertical angles are congruent due to the fact that they intersect. If they did not, they would in fact be parallel. (last section)
Answer:
3 HOURS : company A costs more
5 HOURS : Cost is the same
10 HOURS : Company B costs more
Step-by-step explanation:
Company A :
Rental fee = $100
Hourly rate = $20
Company B:
Hourly rate = $40
Cost of renting a bounce house from each company for h hours ;
Company A:
Total cost = 100 + 20h
Company B:
Total cost = 40h
If h = 3
Company A:
100 + 20(3) = $160
Company B:
40(3) = $120
FOR h = 5;
Company A:
100 + 20(5) = $200
Company B:
40(5) = $200
FOR h = 10;
Company A:
100 + 20(10) = $300
Company B:
40(10) = $400
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Write an equation for T (d)
Let
d ----> the number of days
T ---> the time in minutes of the treadmill
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept or initial value
In this problem we have
The slope or unit rate is

The y-intercept or initial value is

substitute

Part b) Find T (6), the minutes he will spend on the treadmill on day 6
For d=6
substitute in the equation and solve for T

