Answer:
It approximately dropped 0.027777 per hour.
Step-by-step explanation:
First, we calculate the decrease.
Decrease = 11/40 = 0.275
Then, we calculate the time interval.
From 10 pm to 7:54 hours will be 9.54 hours
Time interval= (9 + 54/60) hours
Time interval=9.9 hours
Finally, we calculate how much it dropped each hour
0.275/9.9 ≈ 0.027777
So it approximately dropped 0.027777 per hour.
Answer:
138.23
Step-by-step explanation:
Distance Firework B would have traveled after 0.25 seconds:
240 x 0.25 = 60 feet
Let x be the time that it will explode together:
60 + 240x = 340x
100x = 60
x = 60 ÷ 100
x = 0.6 sec
Firework A will explode at 0.6 seconds after it is launched
Firework B will explode at (0.6 + 0.25) 0.85 seconds after it is launched.
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Answer: Firework B will explode at 0.85 seconds after it is launched.
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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.
