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Fantom [35]
1 year ago
15

Solving Inequalities

Mathematics
2 answers:
Zepler [3.9K]1 year ago
6 0

Answer:

n > 10

n < 9

Interval notation:

(-∞, 9) U (10, ∞)

Step-by-step explanation:

2n + 7 > 27 or 3 + 3n < 30

     -7     -7      -3             -3

2n > 20                 3n < 27

÷2    ÷2                ÷3     ÷3

n > 10                      n < 9

<---------            ----------->

<---------0--------0--------->

           9         10

I hope this helps!

dlinn [17]1 year ago
5 0
N > 10 and n > 9


Explanation:

1. 2n+7 > 27. Subtract 7 from both sides to get 2n > 20. Divide both sides by 2 to get n > 10.

2. 3+3n > 30. Subtract 3 from both sides to get 3n > 27. Divide both sides by 3 to get n > 9.

I hope this helps! :)
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dimulka [17.4K]

Answer:

48

Step-by-step explanation:

Fourth day, sixth day, both geysers erupted

4 × 6 × 2 = 48

6 0
3 years ago
After adding an 8-pound box with 6 identical boxes, the box weighted 72 pounds. The equation is 6x + 8 = 72. What does X equal?
Marianna [84]

Answer: x = 10.6666666 or 10 2/3

Step-by-step explanation:

6x + 8 = 72

     - 8   -8

6x = 64

6x/6 = 64/6

x = 10.6666666 aka 10 2/3

8 0
3 years ago
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Which equation best represents this situation?
Harlamova29_29 [7]
Hello!

We have the difference between 30 and x(our unknown value) is equal to 17; so we just simply set it up that way. Always think of x or any variable(like in your question they use p, it can be anything u want, it’s simply a representation of an unknown value we are trying to find)as your unknown and what operation they are implying as in this case it’s subtraction as they want the difference between 30 and x.

So the answer is a. 30-p=17

Hope this helped and any questions please just ask. Thank you!
7 0
3 years ago
Can someone tell me the volume of this? lolz​
Black_prince [1.1K]

Answer:

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Step-by-step explanation

6 0
2 years ago
In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1
svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements:                                              Reasons:

1)\, XY=XZ                                              Given

2) \text{ $ m\angle Y= m\angle Z$}                                        Isosceles Triangle Theorem

\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}                  Angle Addition

\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}                               Given

5) \text{ $m\angle XYQ=m\angle QYZ$}                           Definition of Bisector

\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}                               Substitution

7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}              Angle Addition

8)\text{ $ZP$ bisects $\angle XZY$}                              Given

\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }                          Definition of Bisector

\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}                            Substitution

11)\text{ } 2m\angle QYZ=2m\angle PZY                    Substitution

12)\text{ }m\angle QYZ=m\angle PZY                        Division Property of Equality

13)\text{ } YZ=YZ                                         Reflexive Property

14)\text{ } \Delta YZP\cong\Delta ZYQ                             Angle-Side-Angle Congruence*

15)\text{ } YQ=ZP                                         CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0
3 years ago
Read 2 more answers
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