Answer:
$10.56
Step-by-step explanation:
Cross multiply and divide!
if the total cost is $176, multiply by the % of sales tax and divide by 100 (100%)
176 multiplied by 6% = 1,056
1,056 divided by 100% = $10.56
 
        
             
        
        
        
So,
In order to find numbers that are in between 3/8 and 6/7, Lucy must make common denominators first.
LCM of 8 and 7: 56
Multiply each fraction by the appropriate form of 1:


We can immediately see that any fraction with a numerator between 21 and 48 and a denominator of 56 will fit into the criteria Lucy needs.
The correct option is B.
 
        
        
        
Answer:
B) Brand 2
Step-by-step explanation:
Brand 1:	$10.68 ÷ 12 = 0.89
Brand 2:	$9.44 ÷ 16 = 0.59
Brand 3:	$15.30 ÷ 18 = 0.85
Brand 4:	$21.84 ÷ 24 = 0.91
Brand 5:	$20.40 ÷ 30 = 0.68
Least cost per packet is of Brand 2
 
        
                    
             
        
        
        
Answer:
c = 15 ft
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
c^2 = 225
c = √225
<u>c = 15 ft</u>
 
        
             
        
        
        
Answer:
Bus speed:  22 mph; Trolley speed:  14 mph
Step-by-step explanation:
Let rb represent the speed of the bus and rt the speed of the trolley.  Then rb = rt + 8 (mph).
Recall that distance = rate times time.  Two different distances and two different speeds are involved here, but only one time.
Thus, 
              60 mi                                                           44 mi
      --------------------- = time (same in both cases) = -------------
           rt + 8 mi/hr                                                        rt
Cross-multiplying, we get   44rt + 8(44) = 60 rt, or
                                                     352 = 16rt.
Solving this for rt, we get    rt = speed of bus = 352/16 = 22 mph
The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph