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1 answer:
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The sister catches up Jeff after 2 hours
Step-by-step explanation:
We can write Jeff's position and his sister position at time t using the following expressions:
- Jeff position:
where:
7 is the initial position of Jeff when his sister sarts chasing him
2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour
t is the time measured in hours
- Sister position:
where
6 is the sister velocity (her position increases by 6 miles for every hour)
t is the time measured in hours
The sister catches up Jeff when the two positions are equal, so
And solving for t,
So, the sister catches Jeff after 2 hours.
Learn more about speed:
#LearnwithBrainly
Answer:
Natalie have left with 5 beads.
Step-by-step explanation:
Given:
Natalie had 64 beads. She used 24 beads to make a bracelet. She used 7/8 of the remaining beads to make a necklace.
Now, to find the beads does Natalie have left.
<em>Total beads Natalie had = 64 beads.</em>
<em>And beads she used to make a bracelet = 24 beads</em>.
So, the remaining beads are =
Now,<em> the beads she used to make a necklace</em> =
=
=
=
Hence, the beads Natalie have left = remaining beads - beads used to make necklace.
Therefore, Natalie have left with 5 beads.