What are all the values of x that make the inequality 8 - 3x < 20 true?

Answers

Answer 1
hello!

Let's solve this inequality.

First of all, subtract 8 from both sides:-

[tex]\sf{-3x < 20-8}[/tex]

[tex]\sf{-3x < 12}[/tex]

Divide both sides by -3:-

[tex]\sf{x > -4}[/tex]

Notice that the inequality sign changed...

Here's the rule:-

When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...

So these are the values of x that will make the inequality true:-

[tex]\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}[/tex]

Well, -3 is greater than 4 :)

Let's plug it in and see if it makes the inequality true:-

-3>-4

Yes, it does make the inequality true :)

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)


Related Questions

first to answer correctly will be marked brainliest

Answers

Answer:

See attached picture

Step-by-step explanation:

Hope this helps! :)

necesito saber como se resuelve esto (:

Answers

Answer:

Cómo escribir las fracciones en letras?

Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.

Step-by-step explanation:

HELPP this is due tomorrow

254 people were surveyed regarding their favorite gemstone 54%chose diamonds 6%chose saphires 30% chose emeralds 10% rubies. How many people did not choose emeralds or rubies?

Answers

Answer:

152.4

Step-by-step explanation:

30%+10%=40%

100%-40%=60%

254*0.60=152.4

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Answers

Answer:

5.946 cm

Step-by-step explanation:

Using the Pythagorean Theorem, we know that in a right angle triangle to find the longest side we must use the equation a^2 = b^2 + c^2

A is the longest side while b and c are the other two sides

To find one side we must use

b^2 = a^2 - c^2

a squared = 6.9 squared - 3.5 squared

a^2 = 35.36

square root 35.36 to get a

a = 5.946427499

a (3 d.p.) = 5.946

If the distance between A(x,3) and B(4.3) is 16 units, find the value of x.​

Answers

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x1 = x \: \: y1 = 3 \\ x2 = 4 \: \: y2 = 3 \\ distance \: betwen \: two \: points = \sqrt{(x2 - x1) {}^{2} +( y2 - y1) {}^{2} } \\ 16= \sqrt{(4 - x) {}^{2} + (3 - 3) {}^{2} } \\ 16 = \sqrt{(4 - x) {}^{2} + 0} \\ 16 = \sqrt{(4 - x) {}^{2} } \\ 16 = 4 - x \\ 16 - 4 = - x \\ 12 = - x \\ x = - 12[/tex]

The answer is X=20 or X=-12

HELPPPPPP PLSSSSSSSS

Answers

Answer:

hmmmm help rin ako po please

You text your friend for 15 minutes on friday night and for 25 minutes on saturday night. what is the percent of increase? (round to nearest whole percent)

Answers

Answer:

66%

Step-by-step explanation:

This doesn't really require any equations, it's just brain work.

15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.

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HELLLLLLLLLLLLLLLLP 8TH GRADE MATH IM TIMED HELLLLLLLLLLLLLLLLLLLLLLP

Answers

Answer:

the answer for question 15 is going to be D. since wen u draw the line on a graph there is only one point that connects to the points we are given in the question so it's (-8,4)

It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.​

Answers

Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

= 1.728x³

y = ³1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer:

6/5

Step-by-step explanation:

what's greater -9/11 or -5/8

Answers

Answer:

-9/11 > -5/8

Step-by-step explanation:

Fill in the table using this function rule.​

Answers

Answer:

1) 16
2) 12
4) 4
5) 0

Step-by-step explanation:

Plug in the value for x in the equation above and solve for y for all 5.

The movie started at 7:35 PM and lasted 1 hour and 40 minutes. What time did
the movie end?

Answers

Answer:

9:15 PM

Step-by-step explanation:

1 hour and 40 minutes after 7:35 is 9:15

It ended 9:15 pm
Explanation: from 7:35 1+40 = 09:15 pm

Help! The question is in the image.

Answers

Answer:

it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)

Rajan is given half a chocolate to divide amongst 4 people including himself what fraction of the whole chocolate is he left with?

Answers

12.5% because half of 100% is 50% and 50/4=12.5%

Answer: If Rajan has [tex]\frac{1}{2}[/tex] of a chocolate bar, then he has to divide it 4.

[tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] ÷ 4

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex]

Multiply the numerators and denominators and you will get:    [tex]\frac{1}{8}[/tex]

Hope this helped!

Help with this question please

Answers

Answer:

3y is the GCF

Step-by-step explanation:

the lowest value is -9y, so it can't be a value in the exponents

Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​

Answers

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

How to determine  the exponential model?

From the complete question,we have the following parameters:

Initial value, a = 3Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

Read more about exponential models at:

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Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations

Answers

= 70% of the flowers are carnations

How do you find the probability of an outcome?

Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.

we are given that,

6/10 = 3/5 of the flowers are pink, do

we know .2/5 of the flowers are red .

Since 1/3 of the pink flowers are roses, 2/3 of

the pink flowers are on Carnations .

we are given that 2/4 of the red

flowers are carnations .

The number carnations are

[tex]\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}[/tex]

[tex]=\frac{2}{5} +\frac{3}{10}[/tex]

[tex]= \frac{4 + 3}{10}[/tex]

[tex]=\frac{7}{10}[/tex]

covert into percent

[tex]=\frac{7}{10} 100[/tex]

= 70%

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Ethel is packing two suitcases for her vacation. The
first suitcase weighs 24 pounds. The total weight of
the suitcases is 49 pounds. What is the weight of the
second suitcase?

Answers

Answer:

43646

Step-by-step explanation:

I did not know

Answer:

25 pounds

Step-by-step explanation:

both are 49. and one is 24.

49-24=25. which has to be the weight of the second suitcase.

-3|x|=9, what is x? I wrote that x = -3, but I guess that's wrong?

Answers

Answer:

  no solution

Step-by-step explanation:

You want the solution to -3|x| = 9.

Sign

The equation shows the product of a negative number (-3) and a positive number |x| is positive (9).

This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.

There is no solution to this equation.

<95141404393>

2=x^2-10x solve by completing the square

Answers

[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]

Find the volume of the figure below.

Answers

Answer:

B

Hope This Helps! :) Please Mark as brainliest!

The answer would is b

During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?

Answers

Answer:

unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the

400 miles is the answer

dd2+2
edeeeeeeeeedvvvvvvvvvvvvvvvw[[kqpwgjwegkJ=J

Answers

Answer: umm what did you say?

Step-by-step explanation:

The graph of the function is of the form
f(x) = a * sin(kc – c) + h.

Answers

The answer is : f(x) =3sin(2x+pi/2)

Explain

There 0,3 on the graph

You use this formula

f(x)=asin(kx-c)+h

and the maximum and minimum value of this function

a+ h and -a+ h

So a=3 and h=0

So we have

We have; f(x)= 3sin(kx - c)
and we have from the graph;

f(O)=3

So

Sin(-c) =-1

Therefore C=. Pi/ 2 +2pi n

We have period of the function is pi


2pi/ k
k=2
So it will equal Pi


Do you have any doubts ?

m ∠ 1 = ______ °
m ∠ 2 = ______ °
m ∠ 3 = ______ °

Answers

Answer:

M < 1=180

M<2=90

M<3=90

Step-by-step explanation:

M 2 and 3 are both right angles and m1 is a obtuse  angle

SOMEONE PLEASE HELP ME WITH THIS!!
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Answers

Answer:

5.946

Step-by-step explanation:

The pythogorean theorem states that a^2+b^2=c^2.

We are given the hypotenuse, c, and a side length.

3.5^2+b^2=6.9^2

12.25+b^2=47.61

b^2=35.36

b=5.9464...., rounded to 5.946

pleaseeeeeeeeee help math

Answers

Answer: 8

Step-by-step explanation: to find 20% multiply 40 by .20

8

40*0.2 which gives u the answer 8

Write a recursive formula for a n a n , the n th n th term of the sequence 6 , − 12 , 24 , . . .

Answers

Answer:

See below ↓↓

Step-by-step explanation:

a₁ refers to the first term of the sequence.

That is clearly : a₁ = 6

The formula for the nth term is :

aₙ = a₁rⁿ⁻¹Common ratio (r) = quotient of consecutive termsr = -12/6 = -2

Therefore, the nth term is :

aₙ = 6(-2)ⁿ⁻¹

Solve the folllowing question-->2e+3=5

Answers

Answer:

[tex]\boxed{\sf{e=1}}[/tex]

Step-by-step explanation:

Isolate the term of e from one side of the equation.

2e+3=5

First, you subtract by 3 from both sides.

⇒ 2e+3-3=5-3

Solve.

Subtract the numbers from left to right.

⇒ 5-3=2

Rewrite the problem down.

⇒ 2e=2

Divide by 2 from both sides.

⇒ 2e/2=2/2

Solve.

Divide the numbers from left to right.

⇒ 2/2=1

⇒ e=1

Therefore, the correct answer is e=1.

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

Answer:

e = 1

Step-by-step explanation:

Subtract 3 both sides:

⇒ 2e + 3 = 5

⇒ 2e + 3 - 3 = 5 - 3

⇒ 2e = 2

Divide both sides by 2:

⇒ 2e = 2

⇒ 2e/2 = 2/2

e = 1

What is the measure of ZABC?
А
D
75
O A. 75°
45
B
E
m
B. 60°
с
O C. 45°
O D. 120°

Answers

Answer:

B

Step-by-step explanation:

The measure of the angle ABC in the given circle is 60°

What is circle?

A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.

Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,

We need to find the measure of the angle ABC,

So, using the property of a circle, we will have,

∠ ABC = 1/2 {arc DE + arc AC}

= 1/2 {45+75}

= 1/2 x 120

= 60

Hence, the measure of the angle ABC in the given circle is 60°

Learn more about circles, click;

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