6. Identify the number as rational or irrational. Explain. Type your answers below.

-√127

7. Jeremy is building a large deck for a community center. The deck is shaped as a rectangle. The width of the deck is 29 feet. The perimeter of the deck is to be at least 134 feet.

a. Write an inequality that represents all possible values for the length of the deck.

b. Find all possible values for the length of the deck.

8. Caitlin had $402 in her bank account. She withdrew $15 each week to pay for a swimming lesson. She now has $237.

a. Write an equation that can be used to find the number of swimming lessons that she paid for.

b. How many swimming lessons did she pay for?

c. At the time she had $237, the cost of a lesson rose to $19. How many lessons can she pay for with her remaining $237?

9. Is a triangle with sides of length 6 ft., 21 ft., 23 ft. a right triangle? Explain.

10. Identify the number as rational or irrational. Explain.

291.87

6. irrational because nothing times itself is 127.
7. a. 29 is the width plus two things that will equal 105 which would be two 52.2 lengths
b. 29, 52.2, 52.2 or 29, 29 69
8. a. 402 - 237(x/15)
b. 11
c. 12
9. no because it does not reach 90 when you add them together
10. rational because the decimal terminates

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