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Marianna [84]
1 year ago
5

P and q are two arithmetic sequences. The first four terms of sequence P are 2,6,10,14. The nth term of sequence Q is 145-3n. Th

e rth term of sequence P has the same values as the rth term of sequence Q. Work out the value of r.
Mathematics
1 answer:
Tomtit [17]1 year ago
5 0

Answer:

r = 21

Step-by-step explanation:

nth of sequence P :

T_{n} = 4n -2

r^{th} term : 4r-2=145-3r\\4r+3r=145+2\\7r=147\\r=21

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If you buy tomato sauce for $.90 a quart how much does it cost for 5 pints
Dima020 [189]
<h2>Hello!</h2>

The answer is: the price of 5 pints of tomato sauce is $2.25.

<h2>Why?</h2>

To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following  unit relationship:

0.5Quart=Pints

Now, calculating how much is a pint:

\frac{0.9}{quarter}*\frac{0.5Quart}{1Pint}=0.45

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Then, calculating how much are 5 pints:

Price=0.45*NoOfPints=0.45*5=2.25

Hence, the price of 5 pints of tomato sauce is $2.25.

Have a nice day!

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