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The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Given the inequality:

|4x − 2| > 14

Hence:

4x - 2 > 14 or -(4x - 2) > 14

x > 4 or x < -3

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

Find out more on inequality at: https://brainly.com/question/24372553

Answer: 90

Step-by-step explanation:

Let the sides have lengths 2n, 11n, and 15n.

Since the perimeter is 168, 2n+11n+15n=168, meaning that n=6.

So, the longest side is 15(6)=90 inches.

Answer: D

Step-by-step explanation:

Convert 2.8 kilograms into 2800 grams.

Baby A weighs 2800 grams, baby B weighs 2950 grams -> The difference between the masses = 2950 - 2800 = 150 grams.

Answer: Area of square = a*a(where a is length of one side) Putting value a x a=625 cm2 a= 25 Perimeter will be 4 x a 4 x 25 = 100 cm

Step-by-step explanation:

[tex]\sf\huge\underline{Given:-}[/tex]

Area of the square field [tex]\sf{= 625 m^2}[/tex]

[tex]\sf\huge\underline{To\: Find:-}[/tex]

[tex]\rightarrow[/tex] Perimeter of the square garden.

[tex]\sf\huge\underline{Formula \:Used:-}[/tex]

Area of square [tex]\sf{= side^2}[/tex]

Perimeter of square [tex]\sf{= 4×side}[/tex]

[tex]\sf\huge\underline{Solution:-}[/tex]

As we know,

[tex]\rightarrow[/tex] Area of square [tex]\sf{= side^2}[/tex](putting the given value of area)

[tex]\rightarrow[/tex] [tex]\sf{Side^2}[/tex] [tex]\sf{= 625}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{Side}[/tex][tex]\sf{= \sqrt{625}}[/tex]

[tex]\rightarrow[/tex][tex]\sf{Side}[/tex][tex]\sf{= 25cm}[/tex]

So, From here we got the side of the square garden that is, 25cm.

Now,

[tex]\rightarrow[/tex]Perimeter of square [tex]\sf{= 4×side}[/tex](Putting the value of side)

[tex]\rightarrow[/tex] Perimeter of square [tex]\sf{= 4×25}[/tex]

[tex]\rightarrow[/tex]Perimeter of square [tex]\sf{= 100cm}[/tex]

Therefore, perimeter of the square garden = 100cm.

Answer:

Just substitute the values in!
(-5/9) + (-4/3) - 2/3 = - 5/9 - 12/9 - 6/9 = -23/9.

Answer:

66

Step-by-step explanation:

Number:xy

20<xy<79

Multiples of 2,3,11

The least common multiple of this number is 66.

Step-by-step explanation:

input is C and D and output is A and B

[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=77.62 \end{cases}\implies 77.62=2\pi r\implies \cfrac{77.62}{2\pi }=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \cfrac{77.62}{2\pi } \right)^2\implies A=\cfrac{77.62^2}{4\pi }\implies A\approx 479.69[/tex]

Answer:

Explanation:

make the coefficient of x same by multiplying the entire following by 3

solving using elimination method:

3x - 12y = 6

3x - 12y = 6

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0

Answer:

is this a multiple choice question? if so can you retype it out to show the separate answer choices because im having trouble reading your question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Took the test and got it right.

Answer: The answer should be 164,340.

Step-by-step explanation:

given: x = -8,

putting value of x in given equation,

y=(-8)2+4

y= -16+4

y=-12

Answer:

10.3 cm

Step-by-step explanation:

By sine rule

[tex] \frac{x}{ \sin \: 50 \degree} = \frac{13}{ \sin \: 75 \degree} \\ \\ \implies \: x = \frac{13\sin \: 50 \degree}{\sin \: 75 \degree} \\ \\\implies \: x = \frac{9.9585777605}{0.9659258263} \\ \\ \implies \: x = 10.3098783\\\\\implies \: x = 10.3\: cm[/tex]

Answer:x=−3

x=−2

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Hi, First begin by solving the quadratic equation

x^2 + 5x + 6

What two numbers multiply to get 6 but add to make 5? I would use 3 and 2

X^2 + 3x + 2x + 6

x(x+3) 2(x+3)

(x+2) (x+3)

X=-2

X=-3

These are your two solutions

-2 + -3 = -5

The distance between points (4,6) and (4,-1) is 7 units.

Given The coordinates of the end points of line (4,6) and (4,-1).

Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.

The distance between two points can be calculated as under:

Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).

To calculate the distance we need to put the values of coordinates in the formula:

Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]

=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]

=[tex]\sqrt{0+49}[/tex]

=[tex]\sqrt{49}[/tex]

=7

Hence the distance between (4,6) and (4,-1) is 7 units.

Learn more about distance at https://brainly.com/question/2854969

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Answer:

it would be 7 units :)

Step-by-step explanation: cuz im smart and said so

Answer:

A. 1.99 ounces

Step-by-step explanation:

Ramsey's weights is less than gerbil so if gerbil weights is 2.04 so  B is 2.3 is not correct C and D are not less than Ramsey's weights so the answer is A

Answer:

1/5

Step-by-step explanation:

a=225

45/225=1/5

The formula for GP is Tn=ar^n-1

Answer:

2nd problem

The sum of the angles of the triangle is 180°.

B= 90°

The perimeter of the triangle described in statement has a measure of 56 units long.

After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:

[tex]\frac{x}{7} = \frac{x+5}{9}[/tex]   (1)

Now we solve the expression for x:

9 · x = 7 · x + 35

2 · x = 35

x = 17.5

And the perimeter of the triangle is determine by summing the three sides:

p = 9 + 7 + (17.5) + (17.5 + 5)

p = 56

The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823

Answer:

Step-by-step explanation:

Side₁ = 1.8 +3.2 = 5 cm

Side₂ = 3 cm

Side₃ = 4 cm

Perimeter of triangle = sum of all the three sides

                                   = 5 + 3 + 4

                                   = 12 cm

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base * height$}}[/tex]

                          [tex]=\dfrac{1}{2}*5*2.4\\\\\\= 5*1.2\\\\= 6 \ cm^{2}[/tex]

Answer:

x = -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

Answer:

45 guests = $1,625

90 guests = $2,750

Step-by-step explanation:

(25*45)+500= 1,625

(25*90)+500=2,750

Answer:

B

C/15=3

Step-by-step explanation:

They devided the coconuts among 15 children

3x15 =45

45÷3 =15

So the number of coconut the kids gathered is 45

C/15=3 multiply by 15 on both side

15/1 ×c/15=3×15

C=3×15

C=45

Step-by-step explanation:

3x + 4 = 72 - x

3x - x = 72 - 4

2x = 68

x = 39

[tex] \frac{ - 3}{10} \times ( - 0.1)[/tex]

[tex] \frac{ - 3}{10} \times \frac{ - 1}{10} [/tex]

–3 × –4

10

[tex] \frac{12}{10} [/tex]

[tex] \frac{6}{5} answer[/tex]

Answer:

Step-by-step explanation:

First, you would multiply 3x4 =12

next you would keep the denominator the same

last you would divide 8 by 12 10 get 1 3/8 for your answer

Answer:

84 cm^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2 * b*h (b: base, h: height)

1/2 * 14 * 12 = 84 the area is indicated with cm^2 so the answer is 84 cm^2