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Oksana_A [137]
3 years ago
5

Tell whether each number is rational or irrational: Pi, -1/2, the square root of 2/3, and 0.57575757

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0
Pi: Irrational
√(2/3): Irrational

0.57575757 is rational 
and -1/2 is rational.
I hope this helps.
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3 years ago
A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is
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the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and  the cost of each pound of jelly beans is $x.

According to question,

For   3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ 3x+2y=11  →  (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ 5x+6y=23 →  (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒3(3x+2y)-5x-6y=3(11)-23

⇒9x+6y-5x-6y=10

hence,

⇒4x=10

⇒x=2.5

Putting x=2.5 in  3x+2y=11  we get ;

⇒  3x+2y=11

⇒  3(2.5)+2y=11

⇒  2y=11-7.5=3.5

⇒  y=1.75

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

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