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Sergio [31]
3 years ago
7

Which of the following points lie in the solution set to the following system of inequalities?

Mathematics
1 answer:
Lorico [155]3 years ago
3 0
All you have to do is try both of the equations by filling in the variables with the choices. 

-5 > -3 (2) + 3
-5 > -5 + 3
-5 > -2

-5 > (2) + 2
-5 > 4
So, this does not work.
--------------------------------------------
5 > -3 (-2) + 3
5 > 5 + 3
5 > 8

5 > (-2) + 2 
5 > 0
So, this does not work.
-------------------------------------------
5 > -3 (2) + 3
5 > -5 + 3
5 > -2

5 > 2 + 2
5 > 4
So, this works.
-----------------------------
-5 > -3 (-2) + 3
-5 > 5 + 3
-5 > 8

-5 > (-2) + 2
-5 > 0
So, this does not work.

The answer would be C.

I hope this helps!
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A high school has 1,500 students. In a random sample of 50 students, 32 own one or more pets. Predict the number of students at
zavuch27 [327]
Hello!

First you have to find the rate between the amount of students surveyed by the total amount

You do this by dividing the total amount of students by the amount of students surveyed

1500 / 50 = 30

We multiply the amount of students that have a pet by this number

32 * 30 = 960

The answer is B)960

Hope this helps!
7 0
3 years ago
A population of bacterica is growing exponentially. It takes the population 15 minutes to double. How long will it take for the
amid [387]
30 minutes to triple
7 0
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If A represents the set of all even integers and B represents the set of all odd integers, what is A∩B
Virty [35]

Answer:

A∩B=∅

Step-by-step explanation:

A intersect B have no elements in common - so we have the empty set.

7 0
3 years ago
A square dartboard contains a red square and a blue square that overlap. A dart hits a random point on the board.
FinnZ [79.3K]
They want to know the probability of landing in the blue and red section at the same time. In other words, they want to know the probability of landing in the purple section.

We'll need the area of the purple square. This square is 1.5 inches by 1.5 inches. This is because 4 - 2.5 = 1.5

So the purple square has an area of 1.5*1.5 = 2.25 square inches

Divide this over the total area of the largest square (which is 9x9) to get 2.25/81 = 0.02777... where the 7's go on forever

Round that to two decimal places. The final answer is 0.03

Side note: 2.25/81 is equivalent to the reduced fraction 1/36 (express 2.25/81 as 225/8100 and then divide both parts by the GCF 225)
5 0
3 years ago
Probability question. Please answer with work attached.
musickatia [10]

Answer:

B. (0.61)

Step-by-step explanation:

Well, first I created venn diagram to help separate my work, then I subtracted .22 from each "probability sections" then I added them up to get .61

Work explains a lot.

Hope it helped.    :)

8 0
3 years ago
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