Answer:
34.99in
Step-by-step explanation:
 
        
                    
             
        
        
        
4.3x(3.9 - 8.5) + 2.3y(-6.2 - 9.1)......when x = -2.1 and y = 3.5
4.3x(-4.6) + 2.3y(-15.3) 
4.3(-2.1)(-4.6) + 2.3(3.5)(-15.3)
-9.03(-4.6) + 8.05(-15.3)
41.538 - 123.165 
-81.627 <===
        
             
        
        
        
Answer:
Option (D)
Step-by-step explanation:
Total hours worked of Monday= 4:45 hours + 5:00 hours = 9:45 hours
Total hours worked of Tuesday= 4:45 hours + 4:45 hours = 9:30 hours
Total hours worked of Wednesday= 4:30 hours + 4:30 hours = 9:00 hours
Total hours worked of Thursday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked of Friday= 4:45 hours + 4:15 hours = 9:00 hours
Total hours worked = 9:45 + 9:30 + 9:00 + 9:00 + 9:00
                                  = 46:15 hours
                                  ≈ 46 hours 15 minutes 
Option (D) will be the answer.
 
        
             
        
        
        
Answer:
P(1+r) = p(1+0.11)= p+0.11p=1.11p
Step-by-step explanation:
The merchandise is marked up 11%. This means you pay 100% of the price plus 11%. We can represent that as (1+r) where r is the percent marked above. For 11%, this expression would be 1+0.11. We multiply that by the price p. p(1+0.11). This simplifies to p+0.11p. We can further simplify it to 1.11p.
 
        
             
        
        
        
10.5 hours
let t be time then distance travelled by both is
Mr Burges ⇔ d = 50t ( distance = speed × time )
Mrs Burges ⇒ d = 70(t - 3)
At the point of overtaking both will have travelled the same distance
equating their distance and solving for t
70(t - 3) = 50t
70t - 210 = 50t ( subtract 50t from both sides )
20t - 210 = 0 ( add 210 to both sides )
20t = 210 ( divide both sides by 20 )
t = 10.5 hours