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Debora [2.8K]
3 years ago
11

Solve the compound inequality n-4 > 5 AND 2 > n + 3

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Get n by itself in both inequalities

(This program doesn't allow for regular less than or greater than signs, so for the purposes of this problem I will be using less than or equal to (≤) and greater than or equal to (≥) signs)

Inequality 1:
n-4   \geq 5 \\ n \geq 9

Inequality 2:
2 \geq n+3 \\ -1 \geq n

Now that you have both of the n's by themselves, you can put the two inequalities together, like this
-1 \geq n \geq 9

Just keep in mind that these are supposed to be regular less than signs
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Pls, can someone help me with this problem?
ExtremeBDS [4]

Answer:

0.\overline{33}

Step-by-step explanation:

If you divide number 1 by number 3, you will notice that number 3 will constantly repeat at the decimal part.

So, the answer is 0.\overline{33}.

5 0
2 years ago
A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.


5 0
3 years ago
What is the median of the data set given below?<br> 19, 22, 46, 24, 37, 16, 19, 33
Nikolay [14]

Answer:

27

Step-by-step explanation:

19+22+46+24+37+16+19+33=216

216/8=27

7 0
3 years ago
How do I find 1/4 of 52
Neporo4naja [7]

Answer:

13

Step-by-step explanation:

1/4 of 52 is actually telling us to multiply 1/4 by 52 over 1.

1/4×52/1

=13

5 0
3 years ago
What angle is complementary to 2 ?
Zarrin [17]

Answer:

number 4 i gess

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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