Sometimes when you’re doing math, it’s easier to line your numbers up when you have your ratio as a decimal! Hope it helped
 
        
             
        
        
        
Answer:
19
Step-by-step explanation:
70 - 51 = 19
To check:
19 + 51 = 70
 
        
             
        
        
        
Answer:
40 bottles of juice
60 bottles of water
Step-by-step explanation:
let w represent water, let j represent juice. set up a system of equations:
w+2j=140
w+j=100
isolate the w by itself on the bottom equation:
w=100-j
solve the top equation by substitution, substituting 100-j for w:
w+2j=140
100-j+2j=140
100+j=140
j=40
this means that they bought 40 bottles of juice.
to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):
w=100-j
w=100-40
w=60
so, they bought 60 bottles of water.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
length=4×28=112 mm=11.2 cm
three centers form an equilateral triangle each side=2×28=56mm=5.6 cm
to find the height 
h=√(5.6²-2.8²)=2.8√3
width=2.8+2.8√3+2.8=5.6+2.8√3=2.8(2+√3)
area=11.2×2.8(2+√3)≈117.03 7cm²≈117 cm²
 
        
             
        
        
        
Answer:
$162
Step-by-step explanation:
I assume there was a typo and the formula is 12h+30w
hours= h= 6
number of wagons sold= w= 3
12(6) +30(3)= 72+90= 162