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amid [387]
3 years ago
6

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack.

Mathematics
1 answer:
horrorfan [7]3 years ago
6 0

Answer:

  • solutions: (2, 10), (4, 5)
  • non-solutions: all other points

Step-by-step explanation:

It can be useful to graph the inequalities related to Tyler's limits of money and weight.

  1x +3y ≤ 36 . . . . . . the limit on the cost of the items Tyler can afford

  1x +1.5y ≤ 20 . . . . . the limit on the weight of the items Tyler can carry

Then plotting the given points shows that only (2, 10) and (4, 5) are in the doubly-shaded area that is the solution space. The other points are not a solution.

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Step-by-step explanation:

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3 years ago
Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.
polet [3.4K]

Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

<u>Given:</u>

  • Before the deposit, her bank account balance is -25.36.
  • She has deposited $25.36 into her bank account.

<u>Solve:</u>

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

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