solve 6x + 3 < x < 3x + 9 for integers values of x

Answers

Answer 1

Answer:

-9/2 < x < -3/5

Step-by-step explanation:

So first, we take the left part of the inequality to solve and ignore the right part for now, which leaves us 6x + 3 < x.

1. Subtract 3 from both sides:

6x < x - 3

2. subtract x from both sides:

5x < -3

3. divide 5 from both sides:

x < -3/5

Then, we do the same thing as part 1, but this time with x < 3x + 9.

1. Subtract 9 from both sides:

x - 9 < 3x

2. subtract x from both sides:

-9 < 2x

3. divide both sides by 2:

-9/2 < x.

Notice how we have a value that x is less than and a value that x is greater than. So now, all we have to do is to put the two inequalities together, leaving only one x in the middle. Hence, -9/2 < x < -3/5.

I hope this helped! :D

Answer 2

[tex]\\ \sf\longmapsto 6x + 3 < x < 3x + 9 \\ \\ \sf\longmapsto 6x - 3x < x < 9 - 3 \\ \\ \sf\longmapsto 3x < x < 6 \\ \\ \sf\longmapsto x < \frac{x}{3} < 2[/tex]


Related Questions

what is the measure of m?

Answers

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

find the common difference in the linear sequence sequence 69,53,47,30​

Answers

Initial request is certain

What is the image point of (-8,9) after the transformation ry=-x
O
R90°?

Answers

Answer:

I believe it is (-8,-9)

Step-by-step explanation:

I plugged the line into desmos then did the rotation

What is the purpose of a standard drink measurement? It allows you to determine if you're getting what you paid for It is a consistent way of measuring the amount of alcohol in a drink It allows you to determine what is inside of a mixed drink It is a measurement to determine if you are legally drunk

Answers

Answer:

It is a consistent way of measuring the amount of alcohol in a drink.

Step-by-step explanation:

A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.

18. Mario rented a raft from River Rafter's Inc. He paid $100 to rent and
$25 for every hour. Carlos rented a raft from Oscar's Outdoor Shop. He
paid $50 to rent and $35 per hour. For what number of hours will both
rafting companies charge the same amount?
0
4
5
010

Answers

Answer:

5 hours

Step-by-step explanation:

The charge will be the same when what they pay is equal

100 + 25*number of hours = 50 +35 * number of hours

let number of hours =h

100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides

100-50 = 35h -25h, combine like terms

50 = 10h , divide by 10 both sides

5 = h , in 5 hours the companies will charge the same amount

Your local clothing
store is having a sale
of 50% off on all
purchases. You
bought 2 shirts for $10
each and 1 pair of
pants for $15. What
was your final total
after the discount?

Answers

10x2=20

20+15=35

35÷2=17.5

if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab

Answers

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d


Suppose you had d dollars in your bank account. You spent $22 but have at least $28 left. How much money did you have initially? Write and solve an inequality that
represents this situation.

a.) d-22 28; d 50

b.) d - 22 > 28; d > 50

c.) d + 22 s 28; d s 72

d.) d + 22 28; d 272

Answers

Your answer she be letter b

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.  

 

Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

3x + 7
2x + 3
x= [?]

Answers

Answer:

2x+3=3x+7

2x-3x=7-3

x= 4

Step-by-step explanation:

[tex]here \: 3x + 7 = 2x + 3 \\ 3x - 2x = 3 - 7 \\ x = - 4 \\ thank \: you[/tex]

Out of 100 students in a school, 42 take English, 35 take Chinese and 30 take French. 20 take none of the subjects, 9 take French and English, 10 take French and Chinese, 11 take English and Chinese. Find the number of students who take 3 subjects?​

Answers

Answer:

1 student

Step-by-step explanation:

From the Vann diagram attached below,

Let x represent the number of students who took 3 subjects.

Therefore,

100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20

100 = 22-x+11+x+9+10+14-x+11-x+20

100 = 97-2x

2x = 100-97

2x = 3

x = 3/2.

x = 1.5

x = 1 student

Anybody knows the answers to the monomial functions ?

Answers

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

The range of a sequence consists of________.

A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers

Answers

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

What is a sequence?

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

brainly.com/question/21961097

#SPJ2

Question 1 (1 point) Saved
The perimeter of an iPad Air is 820 mm. Its length is 100 mm less than twice the
width.
If x= the length of the iPad Air and y= the width of the iPad Air, the linear system of
equations that could be used to model this situations is,
2x+2y=a
bx=cy-d
The value of a is.
1
Ą
The value of b is
N
The value of cis.
3
Ą The value of d is.
4

Answers

All you gotta do is go in the portal sasuke opened with his rinnegon and go save naruto from momoshiki with naruto’s son boruto and free him before they suck his tailed beast out of his body but be careful because if you kill momoshiki he can implant his karma seal on you as a last hope of survival and you can become his new vessel

B=x-3/x-1
- rút gọn P=A.B

Answers

A

Steliên hợp p-by-step explanaliên hợp ion:

Which pair of angles are corresponding angles?

Answers

Answer:

angles 3&7

Step-by-step explanation:

Help me ASAP ! Plssss

Answers

Answer:

ok

1 b

2c

3a

4f

5d

6g

7e

9g

10i

The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.

Answers

Answer:

Step-by-step explanation:

I don't see Wen's work, but I'll show you mine!

We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.

At time 0, the temp is 0: (0, 0)

5.75 hours late, the temp is -15.5: (5.75, -15.5)

We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.

[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.

Answer:

- 2 16/23 degrees / hr

Step-by-step explanation:

15 1/2 = 31/2

5 3/4 = 23/4

31/2 ÷ 23/4 =

31/2 ×  4/23 =  124/46 = 62/23 = 2 16/23

help!! need to find the area

Answers

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

The mass of the sun is 2.13525×10^30 kilograms. The mass of Mercury is 3.285×10^23 kilograms.

How many times greater is the mass of the sun than the mass of Mercury?
Type your answer in scientific notation form.

Answers

Answer:

The mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.

Step-by-step explanation:

We are given that

Mass of the sun=[tex]M=2.13525\times 10^{30}[/tex] kg

Mass of Mercury, [tex]m=3.285\times 10^{23}[/tex]kg

We have to find how many times greater is the mass of the sun than the mass of Mercury.

Mass of sun/Mass of mercury=[tex]\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}[/tex]

Mass of sun/Mass of mercury[tex]=0.65\times 10^{30-23}[/tex]

Using the property

[tex]a^x/a^y=a^{x-y}[/tex]

Mass of sun/Mass of mercury[tex]=0.65\times 10^{7}[/tex]

Mass of sun/Mass of mercury[tex]=65\times 10^5[/tex]

Mass of Sun=[tex]65\times 10^5[/tex] times Mass of Mercury

Hence, the mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.

Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?​

Answers

Let s be the plane's speed in still air and w the wind speed. Then

s - w = (6060 km)/(6 h) = 1010 km/h

s + w = (12,150 km)/(9 h) = 1350 km/h

Adding these equations together eliminates w and lets you solve for s :

(s - w) + (s + w) = 1010 km/h + 1350 km/h

2s = 2360 km/h

s = 1180 km/h

Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast stroke than the butterfly stroke.

Part A: write a pair of linear equations to show the relationship between the number of minutes ted practices the butterfly stroke every day (x) and the number of minutes he practices the breast stroke every day (y).

Part B: how much time does ted spend on practicing the breast stroke every day?

Part C: is it possible for ted to have spent 45 minutes practicing the butterfly stroke every day? explain your reasoning.​

Answers

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

Mrs. Fox made $176.50 in three hours. How much did she make in one hour?

Answers

Answer:

58.83

Step-by-step explanation:

176.50  ÷ 3 = 58.83333

round down

Answer:

In explanation.

Step-by-step explanation:

If we know that Mrs.Fox makes a consitant rate .

meaning if you divide 176.50 by 3

you get 58.833333 but since money can only go up to two decimal places,

we round and get 58.83 dollars per hour.

What’s the rate of change in this question y=0.860x+3.302

Answers

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

Select another name for angle 2 in the figure below.

Answers

Answer:

Angle CAB

Step-by-step explanation:

Find the points that correspond to angle 2 and name them in order.

Instructions: Find the missing segment in the image below.
Triangle with a missing segment.

Answers

Answer:

?=25

Step-by-step explanation:

15/x=21/x+10

Cross Multiply

15X+150=21X

SUBTRACT 15 X ON BOTH SIDES.

150=6x

DIVIDE 6 IN BOTH SIDES.

x=25

.
For the following, represent the sample space in set notation and state how many outcomes are
possible.
1. A bag contains 3 blue marbles, 2 red marbles, and 4 green marbles. You draw one marble.

Answers

Answer:

Step-by-step explanation:

the sample space is the set that contain all possible outcomes

B-blue, R-red, G-green

sample space is {B,B,B,R,R,G,G,G,G}

so there are 9 possible outcomes

Help Now Pleaseee!!!!
Find the volume of the sphere

Answers

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238

– 5 = -3 + a whats a?

Answers

Answer:

-5=-3+a

-5+3=a

a=-2

value of a is -2

Please help with the question

Answers

The answer to your question is A
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