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nydimaria [60]
3 years ago
9

Salma is in charge of decorating the school gym for a party. She has budgeted some money for decorations. Balloons (x) cost $2.5

0 a bunch, and streamers (y) cost $1.25 per pack. Salma wants to get at least 20 decoration items, but she can spend no more than $45 on decorations.
Which system of inequalities represents the situation above?



A. {x + y ≥ 202.5x + 1.25y ≥45

B. {x + y ≥ 202.5x + 1.25y ≤45

C. {x + y ≤ 202.5x + 1.25y ≥45

D.{x + y ≤ 202.5x + 1.25y ≤45
Mathematics
1 answer:
Artyom0805 [142]3 years ago
5 0

Answer:

your answer would be A.

Step-by-step explanation:

Already you know that answers b and d are not an option because it is saying she can use OVER 45 dollars. So she has to use EQUAL or less then 45 dollars. So the answer has to be A or C. In answer C it is saying she can spend MORE then 2.50 for a bunch where she cant. She has to spend exactly or less then that amount. So your answer is A.

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Answer:

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Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

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If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

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* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

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