Answer:
n = 12
Step-by-step explanation:
4/6 = 8/n
4n = 48
n = 12
8 batches is the maximum that you can make because 20 divided by 2 1/3 = 8.571428...
It is 45 because angle EBC is congruent to CDE (x) because of a rule called alternate angles. so x= 45°
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.
