-2x <4

X < -2
X < 2
X > -2
X > 2

Answers

Answer 1

Step-by-step explanation:

Simplify x in the inequality.

Divide both -2x and 4 by -2:

[tex]\frac{-2x}{-2} < \frac{4}{-2}[/tex]

Answer:

[tex]x > -2[/tex]

The sign has switched since the terms have been divided by a negative number.

Answer 2

Answer:

C. x>-2

Step-by-step explanation:

The solution is to isolate the term x from one side of the equation.

-2x<4

First, multiply by -1 from both sides.

(-2x)(-1)>(4)(-1)

Solve.

2x>-4

Then, divide by 2 from both sides.

2x/2>-4/2

Solve.

-4/2=-2

x>-2

Therefore, the correct answer is x>-2.

I hope this helps you! Let me know if my answer is wrong or not.


Related Questions

mom bought a dress for 320 dollars during the big sale its original price is 400 yuan how much is the discount

Answers

Answer:

20% discount

Step-by-step explanation:

Given the following question:

20% of 400

To find the answer we will use the formula to calculate percentages, once we have that answer we then subtract it from the original price to see if we have the same new price as the question.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times40}{100}[/tex]
[tex]20\times40=8000[/tex]
[tex]8000\div100=80[/tex]
[tex]=80[/tex]

Subtract from the original price:
[tex]400[/tex]
[tex]400-80=320[/tex]
[tex]=320[/tex]

The dress has a "20% discount."

Hope this helps.

A dog has a litter of three male pups and five female pups. What percent of the pups in the litter are male??

Answers

It should be 37.5 % because the total pups are 8 and 3/8 of that litter is male and 3/8 in a percent is 37.5%

Write an equation to represent each relationship 23 more than 10 times a number is the same as 5 more than the number

Answers

Answer:

23 + 10x = x + 5

you write out that first 23 plus 10 times x and it gives you 5 more than x

How do I write an inequality for this?

Answers

Answer:

[tex] - 2 \leqslant x < 5[/tex]

Step-by-step explanation:

The shaded part is after - 2 and the circle is shaded which indicate that x is greater than or equal to - 2. The shaded part before the 5 and the open circle indicate that x is also less than 5.

Tom host a new program the kitchen gladiator, wants to mix a dip containing 5% horseradish with one containing 20% horseradish to obtain a 24 ounce dip containing 10% horseradish, how many ounces of the 5% dip should he use?

Answers

Answer:

16 ounces

Step-by-step explanation:

x, quantity of the 5%

24-x, quantity of the 20%

5%x + 20%(24-x) = 10% of 24

.05x + .20(24-x) = .10 * 24

.05x + 4.8 - .20x = .10 * 24

4.8 -.15x = 2.4

2.4 = .15x

.15x = 2.4

x = 2.4/.15

x = 16

Hailey went to Frank's Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 pero pound. If Hailey paid with a $50 Bill how much chance did she receive?

Answers

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

[tex]1\dfrac34[/tex] pounds of coffee costs [tex]=1\dfrac34\times 13=\dfrac{4+3}{4}\times 13[/tex]

[tex]=\dfrac74\times 13\\\\=\$ 22.75[/tex]

Cost per pound of rice = $0.45

[tex]8\dfrac12[/tex]  pounds of rice costs = [tex]8\dfrac12\times 0.45=\dfrac{17}{2}\times0.45[/tex]

[tex]=\$3.825[/tex]

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

Answer: She received $18.42 as change.

Step-by-step explanation:

Given: Cost of coffee per pound = $13

pounds of coffee costs  

Cost per pound of rice = $0.45

 pounds of rice costs =  

Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58

If Hailey paid $50, then she will receive = $(50-31.58)

= $ 18.42

Hence, She received $18.42 as change.

As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white). If a costume consists of either a pair of tights and a T-shirt with a scarf or a pair of tights and a T-shirt without a scarf, how many different costumes are possible?

Answers

Answer:

24

Step-by-step explanation:

24

The total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).

The costume consists of either a pair of tights or a T-shirt with a scarf:

In this case total number of ways = 2×3×3 = 18

Pair of tights and a T-shirt without a scarf:

In this case total number of ways = 2×3 = 6

Total number of different costumes are possible:

= 18 + 6

= 24

Thus, the total number of different costumes possible is 24 if  Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.

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Need help...
How do I solve these systems of equations? What method should I use?
8x + 5y = -17
y = -5​

Answers

Answer:

Substituition. (1,-5)

Step-by-step explanation:

Take y=-5 and plug it into the equation. 8x-25=-17. Solve equation; 8x=8. Simplify; x=1. Plug your x-values and y-values into parentheses. X first, then y. (1,-5).

Find the surface area of the figure below.

Answers

Answer:

108 i think

Step-by-step explanation:

Answer:

108 inch.

Step-by-step explanation:

To make it a bit easier, I calculated the area of each side of the prism that was shown.

1. Start with the triangular sides: 3 × 4/2 = 6. Since there are two triangular surfaces, you add them together. In the end, you have 12 inch.

2. Calculate the surface with the dimensions 8 in. with 5 in.: 8 × 5 = 40 inch.

3. Calculate the surface with the dimensions 4 in. with 8 in.: 4 × 8 = 32 inch.

4. Calculate the surface with the dimensions 3 in. with 8 in.: 3 × 8 = 24 inch.

5. Last step - add all the results together: 12 + 40 + 32 + 24 = 108 inch.

Hope it helped!!

Find the value of x. (2x +4)° 2x-9)°​

Answers

Answer: x=3

Step-by-step explanation: 2x +4)° 2x-9)°​= 4x  2 +8x−9=3

 Pull out like factors :

  2x + 4  =   2 • (x + 2) (4 • (x + 2) • x) -  9

4x • (x + 2) -  9

Factoring  4x2+8x-9  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   4 • -9 = -36  

Step-2 : Find two factors of  -36  whose sum equals the coefficient of the middle term, which is   8 .

     -36    +    1    =    -35  

     -18    +    2    =    -16  

     -12    +    3    =    -9  

     -9    +    4    =    -5  

     -6    +    6    =    0  

     -4    +    9    =    5  

     -3    +    12    =    9  

     -2    +    18    =    16  

     -1    +    36    =    35

x=3

The value of x for the given triangle is 37°.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

The sum of all interior angles of a triangle is 180°.

So,

x + 2x +4 + 2x-9 = 180°

5x - 5 = 180°

x = 37°

Hence "The value of x for the given triangle is 37°".

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Given question is missing an image attached below;

Which type of change or reaction always results in a new substance?


chemical change


all answers are wrong


phase change


physical change

Answers

Answer:

Chemical Change-

Evaluate the following variable expression 5a + 2b - 17 when a = 3 and b = 4 is?

Answers

Answer:

20+8=28

28-17

11

Step-by-step explanation:

6(4m+1)+6 simplified​

Answers

Answer:

24m + 12

Step-by-step explanation:

Use the distributive property on 6(4m+1) to simplify it down to 24m +6

The equation is now 24m + 6 + 6

Simplify farther by adding the like terms 6 and 6

24m + 12

Answer:

24m+12

would be your answer

Step-by-step explanation:

hope this helps

f(x) = -7x - 1
f() = -8

Answers

Answer:

Step-by-step explanation:

ANSWER QUICK PLEASE MATH TEST TMR

Factor this polynomial 15c^3 + 10c^2 - 40c

Answers

Answer:

5c(3c-4)(c+2)

Step-by-step explanation:

We can factor the GFC out

15c^3+10c^2-40c

5c(3c^2+2c-8)

Then we can factor by quadratic trinomials

5c(3c-4)(c+2)

What is the sum of -7 and its additive inverse?

Answers

Answer:

The sum of a number and its additive inverse is equal to 0.

Step-by-step explanation:

Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5

Answers

Answer:

C, D and E

Step-by-step explanation:

Given equation:

[tex]\dfrac35(30x-15)=72[/tex]

Use the distributive law  [tex]a(b-c)=ab-ac[/tex]:

[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]

[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]

[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]

[tex]\implies 18x- 9=72[/tex]  ←  option c

Factor out common term 3:

[tex]\implies 3(6x- 3)=72[/tex]  ←  option d

Solve [tex]18x- 9=72[/tex]:

[tex]\implies 18x- 9+9=72+9[/tex]

[tex]\implies 18x=81[/tex]

[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]

[tex]\implies x=4.5[/tex]  ←  option e

Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?

a.

b.

c.

d.




Please select the best answer from the choices provided


A
B
C
D

Answers

The one who isn’t a function is graph B

-
A geometric
sequence is defined
recursively by
an = 3an-7. The 1st
term of the
sequence is 2.7.
Write the explicit
formula for the
sequence.

HELP PLEASE

Answers

Answer:

2.7n=8.1^n-7

thank you for the lovely question

A cylinder has a height of 10 inches and a radius of 4 inches. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answers

Cylinder volume = base area x height = pi x r² x h

so with r = 4 inches and h = 10 eaches

V = 3,14 x 4² x 10 = 502,40

Find the area of the parallelogram.
-
14 cm
14 cm
A= | cm2

Answers

Answer:

= 196 cm^2

Step-by-step explanation:

A= bh

= 14X14

= 196 cm^2

Is Y = 8 proportional

Answers

Answer:

yes it is

Step-by-step explanation:

it can be written as a  fraction

ONLY URSONET ANSWER|||||||






53 + 47 = 100 : simples? But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach's Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100.

Answers

It's tricky because everybody is used to seeing 50+50=100

50+50=100 Its simple but when u put it like that it makes at trickier and people think its 90 or 103

If a = -4 and b= -3, work out the value of a/2+b

Answers

Given Equation Is:

[tex] \: \: [/tex]

[tex] \sf \large \frac{a}{2} + b[/tex]

[tex] \: \: [/tex]

Now, Put the value of a = -4 and b = -3 in given eqn .

[tex] \: \: [/tex]

[tex] \sf \large \: \frac{ - 4}{2} - 3[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \cancel \frac{ - 4}{ \: \: 2} - 3[/tex]

[tex] \: \: [/tex]

[tex] \sf \large \: - 2 - 3[/tex]

[tex] \: \: [/tex]

[tex] \boxed { \sf \large \color{pink} \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: }[/tex]

[tex] \: \: [/tex]

Hope Helps!:)

The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.

What is the substitution of variables into an equation?

The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.

So,

If a = - 4;and b = -3

Then, using the expression:

[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]

The solution to the equation can be calculated as:

[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]

[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]

Divide both the numerator and denominator by (-1)

= 4

However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]

The solution to the equation will be as follows:

[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]

= -2 - 3

= -5

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Each of 4 gift bags contains X pencils. Tyler adds 3 more pencils to each bag. Altogether, the gift bags contain 36 pencils. What is the answer as an equation

Answers

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

Let's consider the information given:

there are 4 gifts bags that contain 'x' pencil

            Total number of pencils = 4 * x = 4x

3 more pencils are added to each bag

             Total number of pencils = 4 * (x + 3)

in total there are 36 pencils

              4(x+3) = 36

Answer: 4(x+3) = 36

Hope that helps!

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i need answer now asap plzzz 25 points

Enzo is making a scale drawing of the rectangle below.


A rectangle has a length of 8 centimeters and width of 5 centimeters.


Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

Enzo is correct because he used a factor of 2 to enlarge the rectangle.

Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.

Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.

Enzo is not correct because he did not multiply the length and width by the same factor.

Answers

Answer:

Tjats is baout the circumfrence of nonsensical poop

Step-by-step explanation:

Answer:

what ever the first person have answer

What is 125.315 in standard form?

Answers

Answer: 1.25315*102

Step-by-step explanation:

Helpppppp!!!!!!!!!!!$

Answers

It’s A, because multiplying the ‘y’ values by a fraction would make them smaller, therefore making all of the y-values (that affect the vertical size of a graph) compress

The table gives the value of bianca’s savings account at the end of each of the first four years.

which best describes the terms of this investment?

Answers

The savings account of a person shows the amount which is immediately available to the person and this helps to create budgets and control spending.

What are Tables?

This refers to the way data is arranged by showing the figures in columns for easy reading and calculations.

Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.

Read more about tables here:

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Question in photo! (Please help with other questions!)

Answers

Answer:

b) [tex]a_{n}[/tex] = 2 + 2/5n

Step-by-step explanation:

Given :-

a = 12/5

d = 2/5

To Find :-

[tex]a_{n}[/tex]

Solving :-

[tex]a_{n}[/tex] = a + (n - 1)d

= 12/5 + 2/5n - 2/5

= 2 + 2/5n

Solution :-

b) [tex]a_{n}[/tex] = 2 + 2/5n

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