Answer:
They will be 170 miles apart at 10 AM
Step-by-step explanation:
Nancy has 15´ of  head start which is 1/4 hr.
NHD = 20*(1/4) = 5 miles is her head start
Mark leaves at 7.15hs = starting point
Marks stop at when they are 170 miles apart = t
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t = the time they are 170 miles apart
d= distance in miles Nancy travels in time t
170 - (d+5) = distance in miles Mark travels in time t
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Nancy's equation:
(1) d = 20t
Mark's equation:
(2) 170 - (d+5) = 40t
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(2) 170-d-5=40t
(2) d+40t=165
Substitute (1) into (2)
(2) 20t+40t=165
(2) 60t=165
(2) t=2.75
7:15 AM + 2.75 hrs (2:45hs) = 10 AM
They are 170 miles apart at 10 AM
check:
(1) d=20t
(1) d=20*2.75
(1) d=
55
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(2) 170 - (d+5) = 40t
(2) 170 - (d+5) = 40*2.75
(2) 170 - d-5 = 110
(2) d=55
 
        
             
        
        
        
Answer:
42n - 4m
Step-by-step explanation:
6m+2n-5(2m-8n)
6m + 2n - 10m + 40n
42n - 4m
 
        
                    
             
        
        
        
Answer:
n = 14
Step-by-step explanation:
3175(1+2.75%)^n=4641.83 we input this in the calculator and we get n = 14
 
        
             
        
        
        
Answer:
y = 2x + 7
Step-by-step explanation:
Slope Formula: 
Slope-Intercept Form: y = mx + b
We are only focusing on the line of best fit.
Step 1: Find 2 coordinates
(0, 7) y-intercept
(2, 11) random
Step 2: Find slope <em>m</em>
m = (11 - 7)/(2 - 0)
m = 4/2
m = 2
y = 2x + b
Step 3: Rewrite linear equation
y = 2x + 7