Michael has substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 36,700 - (5,000 + 500m) to represent the size of his debt after m months. Which number describes the value of his signing bonus?

Question

(1 point)
Responses

36,000
36,000

5,000
5,000

500

Answer 1

500

Answer 2

Which statement about the product is true?
6.57 x 2.67534

(1 point)
Responses

The product is irrational.
The product is irrational.

The product is rational.
The product is rational.

The product is neither rational nor irrational.
The product is neither rational nor irrational.

The nature of the product cannot be determined.

Answer 3

The product is rational.

Answer 4

In which of these situations, do the two quantities combine to make 0? Select all that apply.

(1 point)
Responses

An airplane at 3,000 feet gains 3,000 feet.
An airplane at 3,000 feet gains 3,000 feet.

A submarine at –340 feet under dives 340 feet.
A submarine at –340 feet under dives 340 feet.

A hawk at 120 feet above the ground dives 120 feet.
A hawk at 120 feet above the ground dives 120 feet.

A diver at –40 feet under the sea rises 40 feet.
A diver at –40 feet under the sea rises 40 feet.

An octopus at –38 feet underwater rises 38 feet.
An octopus at –38 feet underwater rises 38 feet.

Answer 5

A submarine at –340 feet under dives 340 feet.
A diver at –40 feet under the sea rises 40 feet.
An octopus at –38 feet underwater rises 38 feet.