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Effectus [21]
3 years ago
12

Katherine is shopping for cupcakes and donuts. She can purchase at most 30 items in total. She also wants the number of cupcakes

purchased to be greater than or equal to the square of 2 more than the number of donuts.
Create a system of inequalities to model the above situation and use it to determine how many of the solutions are viable.

Mathematics
2 answers:
Nuetrik [128]3 years ago
6 0

Answer:

Part of the solution region includes a negative number of donuts purchased; therefore, not all solutions are viable for the given situation.

Step-by-step explanation:

Elodia [21]3 years ago
5 0

Let the number of cupcakes be represented by = y

Let the number of donuts be represented by = x

She can purchase at most 30 items in total so equation becomes:

x+y\leq30    .... (1)

She also wants the number of cupcakes purchased to be greater than or equal to the square of 2 more than the number of donuts. Hence, equation becomes:

y\geq(x+2)^{2}   ....(2)

The intersection point where value of 'x' is negative is not valid.

Hence, points 3 and 27 is the answer. (rounding off 3.179 and 26.821)

Please find attached the graph.

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31.
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3 years ago
If the measure of is 232°, what is the measure of ∡DEF?.
riadik2000 [5.3K]

To answer this specific problem, the measure of ∡DEF is 64. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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3 years ago
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VLD [36.1K]

Answer:

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2 years ago
(4 times 2 to the third power) - (64 divided by 8)
Irina-Kira [14]

Answer:

24

Step-by-step explanation:

(4 times 2 to the third power) - (64 divided by 8) = 4*(2^3) - 64/8

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7 0
2 years ago
A scuba diver swam 96 feet beneath the surface of the lake.he then climb up 49 feet .wat is the depth now?
lakkis [162]

Answer:

The depth now is 47 feet below the surface of the lake

Step-by-step explanation:

Step 1: Determine initial depth

Initial depth=surface level-depth below surface

where;

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depth below surface=96 feet

replacing;

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replacing;

distance covered=-96+49=-47 feet

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