Solve for
x
4
x
+
6
<
2
x
+
1

Give your answer as an improper fraction in its simplest form.

Answers

Answer 1

Answer:

[tex] \huge \red { \boxed{ \blue{ \boxed{ \tt \: x < - \frac{5}{2} }}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:inequalityequationPEMDASgiven:[tex] \text{4x + 6 < 2x + 1}[/tex]to find:[tex] \text{x}[/tex]tips and formulas:

the direction of inequality does not change

when you

Add (or subtract) a number from both sidesMultiply (or divide) both sides by a positive numberSimplify a side

the direction of inequality does change

when you

Multiply (or divide) both sides by a negative numberSwapping left and right hand sides

let's solve:

[tex]step - 1 : define[/tex]

[tex]4x + 6 < 2x + 1[/tex]

[tex]step - 2 : solve \: for \: x[/tex]

[tex] \tt{cancel \: 6\:from \: both \: sides} \\ \tt{4x + 6 - 6 < 2x + 1 - 6} \\ \tt 4x < 2x - 5[/tex][tex] \tt cancel \: 2x \: from \: both \: sides \\ \tt 4x - 2x< 2x - 2x - 5 \\ \tt 2x < - 5[/tex][tex] \tt divide \: both \: sides \: by \: 2 \\ \tt\frac{2x}{2} < \frac{ -5 }{2} \\ \tt x < - \frac{5}{2} [/tex]

Related Questions

Identify which sequence of transformations could map
pentagon ABCDE onto pentagon A'B'C'D"E", as shown below.
B
D
A
E
A
ES
B
D
1) line reflection followed by a translation
0
2) translation followed by a rotation
3) dilation followed by a rotation
4) line reflection followed by a line reflection

Answers

Answer:

can you ask the qustion better plz

Step-by-step explanation:

Solve the second equation to find the coordinate of point B. Show your work step by step. (2 points) 2.5= -2B+6

Answers

Answer:

1.75

Step-by-step explanation:

-2b+6 = 2.5

-2b = 2.5-6

-2b = -3.5

b = -3.5 \ -2

b = 1.75

What quadrilateral's diagonals are perpendicular and they bisect each other?

Answers

Answer:

Rhombus

Step-by-step explanation:

The diagonals of Rhombus bisect each other and form 4 right triangles. Since they are right triangles, they measure 90 degrees so the diagonals are perpendicular.

What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit. the base is 6 cm

Answers

Answer:

62.4

Step-by-step explanation:

Write an equation of the line that passes through the points (−6,20) and (0, 8).

Answers

Answer:

y = -2x + 8

Step-by-step explanation:

(−6, 20) and (0, 8)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(8 - 20) / (0 - (-6))

Simplify the parentheses.

= (-12) / (6)

Simplify the fraction.

-12/6

= -2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 8). Plug in the x and y values into the x and y of the standard equation.

8 = -2(0) + b

To find b, multiply the slope and the input of x(0)

8 = 0 + b

b = 8

Plug this into your standard equation.

y = -2x + 8

This is your equation.

Check this by plugging in the other point you have not checked yet (-6, 20).

y = -2x + 8

20 = -2(-6) + 8

20 = 12 + 8

20 = 20

Your equation is correct.

Hope this helps!

12b – 5 = 3
What is b and how do you solve for it

Answers

Answer:

12b - 5. = 3

+5 +5

12b = 8

÷12. ÷12

b = 0.6

HELP!!! THIS IS DUE AT 11:59!

Answers

Answer:

1. x = 22

2. x = 38

3. x = 24

Step-by-step explanation:

Uhhhhhh

can smby plz help me ?!

Answers

Omgggg an iready diagnostic..

Simplify fully

8n

10n

Answers

Answer:

The answer is 4/5

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, please?

Answer: 4/5

Step-by-step explanation: 8n/10n

8/10

4/5

Which is the last operation performed when evaluating (8 minus 2 x) squared + 4 for x = 3? addition multiplication subtraction applying the exponent

Answers

Answer:

addition

Step-by-step explanation:

Answer:

Addition

Step-by-step explanation:

PEMDAS: Parentheses, Exponent, Multiply, Divide, Add, Subtract. (The multiply and divide can be swapped, as well as the add and subtract :3) Hope this helps! :D

9 and 7 find the length of the third side

Answers

Answer:

x = √130

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Leg a = 9

Leg b = 7

Hypotenuse c = x

Step 2: Solve for x

Substitute in variables [Pythagorean Theorem]:                                           9² + 7² = x²[Hypotenuse] Rearrange:                                                                                x² = 9² + 7²[Hypotenuse] Evaluate exponents:                                                                x² = 81 + 49[Hypotenuse] Add:                                                                                          x² = 130[Hypotenuse] [Equality Property] Square root both sides:                          x = √130

The cost of renting a sailboat at a lake is $70

Answers

Answer:

y=70x+12

Step-by-step explanation:

y= amount of total money spent

x= amount of hours

Evaluate 4x + 5y, when x = 7 and y = 10​

Answers

Answer:

78

Step-by-step explanation:

4 x 7 = 28

5 x 10 = 50

50 + 28 = 78

7x4 is 28
5x10 is 50
28+50=78

Looking out for me balcony the angle of elevation to the top of the next building is approximately 22° in the English depression to the bottom of the building approximately 29° if the building is 200 feet away how tall is the building?

Answers

Answer:

24.63 meters

Step-by-step explanation:

What is the boundary line for the linear inequality 4x + 2y < 18?

Answers

Answer:

Simplifying

x = 4.5 + -0.5y

Step-by-step explanation:

The boundary line of the inequality is intersecting the x-axis at 4.5.

The given inequality is 4x + 2y < 18.

What is the boundary line for linear inequality?

A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.

Graph the inequality by finding the boundary line, and then shading the appropriate area.

Now, 4x + 2y < 18 can be written as y<−2x+9.

The boundary line of the inequality is given below.

The boundary line of the inequality is intersecting the x-axis at 4.5.

To learn more about the inequalities visit:

https://brainly.com/question/17675534.

#SPJ2

What is the area for this?

Answers

Answer:

120 in²

Step-by-step explanation:

rectangle = 16x4=64

two triangles 1/2(8)(7)=28 each

64+28+28=120

Answer:

88

Step-by-step explanation:

Starting off with 16x4, which isolates the triangle and makes it a little bit easier, you'd get 64, which is the rectangle's area, (I got the 4 from the middle piece). That leaves you with the triangle, which I did 3x8 for, which is 24, usually with triangles you would divide that answer in half because a triangle is only half of the actual area, but since they're two identical triangles, it wasn't necessary.

There are 3 space helmets and you take away 2,how many do you have?​

Answers

Answer:

1 space helmet

Step-by-step explanation:

subtract 3-2 = 1 helmet

-19p ≤ 57
What could p be??

Answers

Answer:

81 units 2. Page 57. These items may be used by Louisiana educators for educational purposes. Algebra 1 Answer Key. ITEM 56. A committee at the ...

Step-by-step explanation:

Answer:

p≥−3

Step-by-step explanation:

the mean weight of 100 students in a certain class is 71kg the mean weight of boys is 65kg and that of girls is 75kg what is the number of boys and girls​

Answers

Answer:

There are 60 girls and 40 boys in the class.

Step-by-step explanation:

Given that the mean weight of 100 students in a certain class is 71kg, while the mean weight of boys is 65kg and that of girls is 75kg, to determine what is the number of boys and girls the following calculation must be performed:

1 x 75 + 0 x 65 + 75

0.9 x 75 + 0.1 x 65 = 74

0.8 x 75 + 0.2 x 65 = 73

0.7 x 75 + 0.3 x 65 = 72

0.6 x 75 + 0.4 x 65 = 71

Thus, there are 60 girls and 40 boys in the class.

Twenty five percent of this square is shaded what percent of the square is not shaded

Answers

Answer:

75%

Step-by-step explanation:

If 25 percent of a square is shaded, that means that the rest of the square is not shaded. We want an answer that we can add to 25 to get 100. So this means that 75% of the square is not shaded.

14 minus a number equals the same number plus 8

A) x= 4 b) x=5 C) x=7 D) x=3

Answers

Answer:

b- x=5

Step-by-step explanation:

14-5=8 so your answer would be b

If 1,560 students are enrolled in school and 85% ride the bus how many dont ride the bus

Answers

Answer:

234 student don’t ride the bus

Step-by-step explanation:

jst do 0.85 tiimes 1560

Answer:

234

Step-by-step explanation:

85% of 1,560 = 1326

1,326 - 1,560 = 234

What is the 7th term in the following sequence? 48,40,32,24

Brainless answer !!!!!

Answers

Answer:

-8

Step-by-step explanation:

an=−8n+56

What is the face value of 2 in the number 286?

Answers

Answer:

200 or 2 I guess

Step-by-step explanation:

Ion really get wym by “ what is the face”

200 i also don’t get what you mean

How to find the missing numbers in two digit division

Answers

Answer:

Divide the first number of the dividend (or the two first numbers if the previous step took another digit) by the first digit of the divisor. Write the result of this division in the space of the quotient. Multiply the digit of the quotient by the divisor, write the result beneath the dividend and subtract it.Jun

Step-by-step explanation:

pls brainlist

The total budget for a school fundraiser is $350. Supplies and refreshments cost $140. The band for the event charges $70 each hour. What is the number of hours the school can have the band play?

Which equation represents the situation?


Answers

Answer:

I think its 3 hours

Step-by-step

also I think its the last one

Triangle ABC is similar to Triangle XYZ.
Solve for x and y

Answers

Yz =5
Xz= 7
Hope this helps!!!


m 1. 25
2. 80
3. 90
^answers^

Answers

90 degrees that will be your answer hope I helped

Please help, geometry homework. Answer true or false for the following statements. The ones that are marked “ T” or “ F “ are already done, if I am wrong, please let me know.

Answers

1. False
2. True
3. False
4. False
5. False


13. False
14. False

Which expression is equivalent to 7z + 7z?

Answers

Answer:

[tex]14z[/tex]

Step-by-step explanation:

Since these are like-terms, they can be added together.

7z + 7z = 14z

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