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VLD [36.1K]
3 years ago
5

A machine can make 56 parts in 4 hours.It can also make 70 parts in 5 hours. Write an equation that relates the number of parts

the machine can make and the time in hours.Predict how many parts the machine can make in 9 hour and 30 minutes.
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

126 parts in 9 and a half hours

Step-by-step explanation:

56 parts in 4 hours

that means 56 parts in 240 mins

9 hours and 30 minutes in minutes is 570 minutes

56m parts:240 mins

                 540 mins

to get to 540 from 240, you multiply by 2.25.

you can work this out by doing 540 divided by 240

now, multiply 56 by 2.25.

the answer is 126 parts

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lianna [129]

Answer:

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Step-by-step explanation:

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A geometric sequence has first term 1/9 and common ratio 3. Which is the first term of the sequence which exceeds 1000?
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Simplifying this, we get:
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Since we're finding the first term that exceeds 1000, let's set it equal to 1000.

\frac{1}{27}(3)^n=1000
Multiplying both sides by 27
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We have to round n up, since if n=9, the value would be <1000.
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\frac{1}{27}3^{10}
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