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Mama L [17]
2 years ago
11

Solve the following inequality.

Mathematics
1 answer:
Luden [163]2 years ago
7 0
First simplify.
-\frac{2}{3}x \ \textgreater \  \mathrm{Multiply\:fractions}:\ \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c} \ \textgreater \  -\frac{2x}{3}

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)} \ \textgreater \ \ \textgreater \  \frac{2x}{3}\ \textless \ -8

\mathrm{Multiply\:both\:sides\:by\:}3 \ \textgreater \  \frac{3\cdot \:2x}{3}\ \textless \ 3\left(-8\right) \ \textgreater \  Simplify \ \textgreater \  2x\ \textless \ -24

\mathrm{Divide\:both\:sides\:by\:}2 \ \textgreater \  \frac{2x}{2}\ \textless \ \frac{-24}{2} \ \textgreater \  Simplify \ \textgreater \  x\ \textless \ -12

Therefore\; x\ \textless \ -12 \;is\;our\;answer!

Hope this helps!
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Caitlyn purchased a ring for her jewelry store at the wholesale price of $220 and marked up the price 35%. What is the list pric
AlekseyPX

Answer:

$297

Step-by-step explanation:

220 increase 35% =

220 × (1 + 35%) = 220 × (1 + 0.35) = 297

8 0
2 years ago
The length of a rectangle is 3 more yrd than twice the width. The area is 869yrd^2
Otrada [13]

Width=20.108 yrd and Length=43.216 yrd

Step-by-step explanation:

Let width = w

Length =3+2w

Area = 869 yrd^2

We need to find length and width of rectangle.

The formula used is:

Area= length*width

Putting values:

Area= length*width

869= (3+2w)*(w)

869= 3w+2w^2

2w^2+3w-869=0

Using quadratic equation to find value of width w:

w=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a=2, b=3 and c=-869

w=\frac{-3\pm\sqrt{(3)^2-4(2)(-869)}}{2(2)}

w=\frac{-3\pm\sqrt{6961}}{4}

w=\frac{-3\pm 83.4}{4}

w=\frac{-3+83.4}{4}\,\,and\,\,w=\frac{-3-83.4}{4}

w=20.108\,\,and\,\,w=-21.6

Since width can't be negative so, width w=20.108

Length will be: L=3+2w = 3+2(20.108)=3+40.216=43.216

So, Width=20.108 yrd and Length=43.216 yrd

Keywords: Area of rectangle

Learn more about Area of rectangle at:

  • brainly.com/question/3306327
  • brainly.com/question/6270221
  • brainly.com/question/6564657

#learnwithBrainly

4 0
3 years ago
Help me please!! I am so confused!!
Gwar [14]

Answer:

(4,1), (-4,1), (4,6), (-4,6)

Step-by-step explanation:

Here can be identified two points with the same 'y' value: (4,1), (-4,1)

it means that there is a line passing by y=1

Same for (4,6), (-4,6): it means that there is a line passing by y=6

Now find the distance between two points in both cases


7 0
3 years ago
( Will give Brainliest) Please Helpp<br> Solve the formula for b. Area of rectangle: A=bh
myrzilka [38]
So get b alone.
A=bh
Divide by h
A/h=b
b is alone
And just to rearrange:
b=A/h
5 0
2 years ago
Read 2 more answers
1.
Mama L [17]

Answer: x=25, y=19

Step-by-step explanation: Because the triangle is equilateral, all the angles must be equal to 60 degrees. So 2x+10=60. 2x=50 and x=25. Then the same thing: 3y+3=60. 3y=57, y=19.

3 0
2 years ago
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