What are the integer solutions to the inequality below? 3 < 3 x − 1 < 2 x + 6

Answers

Answer 1

Answer:

4/3<x<7

Step-by-step explanation:

Given the inequalities

3 < 3 x − 1 < 2 x + 6

Add 1 to all sides

3+1 < 3x-1+1<2x+6+1

4 < 3x < 2x + 7

Split

4 < 3x

3x > 4

x > 4/3

4/3 <x

Also

3x < 2x + 7

3x-2x < 7

x <7

Combine

4/3<x<7

Hence the required solution is 4/3<x<7


Related Questions


21 3/5 is what percent of 40?

Answers

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

HOPE THIS HELPS!!!

Have a great day!

- Hailey: )

solve for x. Leave your answer in the simplest radical form.

Answers

Answer:

x = 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

'x' can represent the hypotenuse of a right triangle with a base of 4 (11-7) and a height of 2

use Pythagorean Theorem to find 'x':

2² + 4² = x²

4 + 16 = x²

x² = 20

x = [tex]\sqrt{20}[/tex]

x = [tex]\sqrt{4}[/tex]·[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex]

PLEEEEASEEE HELP ASAP

In the diagram, the measures of ∠1 and ∠4 are 105°. The measures of ∠5 and ∠8 are 115°. Are lines c and d parallel

a p e x

Answers

Answer:

a

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

I just got done with this same quiz and i got a 100 .

Jeffrey's recipe for oatmeal muffins calls for 2 3/4 cups of oatmeal and makes one dozen muffins. If he makes 2 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he use?

Answers

Answer:

                              5

Jeffrey will use 9  __ cups of oatmeal

                              8

Step-by-step explanation:

2.75 cups of oatmeal per 1 dozen

2.75 x 2 = 5.5

2.75 + 2.75(1/2) = 4.125

add

5.5 + 4.125 =

9.625 cups of oatmeal

              or

9 5/8 cup

PLEASEEEE HELPPP MEEE.
DUE RIGHT NOW!!

Topic: Math
Solve all the questions

Answers

Answer:

1. x= 9

2. x= −2

3. 51 inches

4. $213.11 each month

Step-by-step explanation:

1. Simplify both sides of the equation.

x + 7 + 7x= 25 + 6x

Combine Like Terms

(x + 7x) + (7)=6x + 25

8x + 7= 6x + 25

8x + 7= 6x + 25

Subtract 6x from both sides.

8x + 7 − 6x= 6x + 25 − 6x

2x + 7= 25

Subtract 7 from both sides.

2x + 7 − 7= 25 − 7

2x= 18

Divide both sides by 2.

2x/2= 18/2

2.  Subtract 5x from both sides.

x − 5x= 5x + 8 − 5x

−4x= 8

Divide both sides by -4.

−4x/−4= 8/−4

3. First find the perimeter of the trapezoid

4 + 3 + 4 + 8= 19

A square has all equal sides

8 * 4= 32

Add them together

19 + 32 = 51 inches

4. Subtract the amount she put for finance from the total

1598.66 - 320 = 1278.66

Then divide that amount by the 6 months

1278.66 divided by 6 = 213.11

$213.11 each month

URGENT THIS IS FOR FINALS CAN SOMEONE PLZ SOLVE IT I will brain list​

Answers

Answer:

were is the line

Step-by-step explanation:

Answer:

1- y=2x-5

2- y=-1/6x-5

Hope this helps you!!

find the area of the trapezoid?​

Answers

Answer:

46,746 mm²

Step-by-step explanation:

½×(210+84)×318

= 46,746 mm²

Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.

Answers

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

The volume of a cone is
42in ^ 3 and the cone's base area is 9in ^ 2
What is the height of the cone ?

Answers

Answer: The answer is 0.495

Step-by-step explanation: I got this answer from a volume calculator, I just looked it up on the internet. Hoped this helped!

1½ hours is how much in seconds??​

Answers

3/2=1.5 hour=5400 second

Hope it helps you

Answer:

5,400 seconds.

Use the relationships between the angles to find the value of . 75° 40 X 15 degrees​

Answers

Answer:

x = 65

Step-by-step explanation:

All angles in the triangle equal 180

Set up your formula as

180 = x+75+40

180-75-40=x

65=x

Help please need answer ASAP

Answers

Answer:

60

Step-by-step explanation:

45 is a vertical angle so the angle opposite will also be 45 degrees. There is also 75 in the bottom left corner of the trianlge. 45 + 75 is 120. In a triangle the angles all equal 180 degrees. subtract 120 from 180. 180-120=60.

Hope this helps :D

QUESTION 2 PLEASE HELP ME!!!

Answers

Answer:

Look it up up

Step-by-step explanation:

What is the probability of rolling a 6 and then a 7 on a number cube?

NO LINKS PLEASE!​

Answers

Answer:

the probability of rolling 6 is 16 or 16.7%.

the probability of rolling 7 is 0.

Step-by-step explanation:

7 is 0 because its impossible to roll a 7 on one number cube.


A. 65
B. 30
C. 10
D. 50

Answers

Answer:

50

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D. 50

Step-by-step explanation:

∠CGF and ∠AFG add up 180° because they are same side interior angles. We can write an equation to model the situation:

m∠CGF + m∠AFG = 180°

And, we can substitute:

3x - 20 + x = 180

4x - 20 = 180

4x = 200

x = 50

A toy company used 18 pints to make 9 action figures, which is a rate of _ pints per figure

Answers

Answer:

For 1 figure, 2 pints are used

Step-by-step explanation:

9 figures = 18 pints

1 figure = 18/9

1 figure = 2 pints

Hope this helps!

The two-way frequency table shows the laptop color preferences, for a random sample of high school students. Which statement is correct? Select one:

O Most males preferred black laptops.

O Most females preferred black laptops.

O Red was the least preferred color for a laptop, amongst male high school students surveyed.

OBlack was the most preferred color for a laptop, amongst all high school students surveyed.​

Answers

Answer:

Most males preferred black laptops

Step-by-step explanation:

Solve for x in the diagram below.

Answers

Step-by-step explanation:

x+(3x+10)=90

4x+10=90

4x=80

x=20 Ans

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

B

Step-by-step explanation:

Amanda does start with 30 homework questions

She does complete 3 questions every 2 minutes

After 10 minutes she has completed half of her questions

But she does not finish 2 questions every 3 minutes

hope this helps <3

1. last question. please help me out thank you. ill mark you brainlist

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

3x + 6 = x - 8

-x -x

(subtract x from both sides)

2x + 6= −8

-6 -6

(subtract 6 from both sides)

2x = -14

/2 /2

(divide 2 by both sides)

x = -7

hope this helped!

A hospital recorded the weights, in ounces, of newborn babies for two weeks. The

results are listed below.

Weights of babies born during week one: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126

Weights of babies born during week two: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130

Which statement is true?

Answers

Answer:

The standard deviation for week two was about 3 ounces more than the standard deviation for week one

Step-by-step explanation:

Given

[tex]Week\ 1: 128, 105, 80, 82, 96, 98, 87, 100, 112, 126[/tex]

[tex]Week\ 2: 75, 85, 90, 97, 89, 105, 110, 127, 129, 130[/tex]

See attachment for options

Required

The true statement

Checking the standard deviation

For week 1

Calculate the mean:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{128+ 105+ 80+ 82+ 96+ 98+ 87+ 100+ 112+ 126}{10}[/tex]

[tex]\bar x = \frac{1014}{10}[/tex]

[tex]\bar x_1 = 101.4[/tex]

Then standard deviation

[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{(128 - 101.4)^2 +............+ (126- 101.4)^2}{10}}[/tex]

[tex]\sigma_1 = \sqrt{\frac{2522.4}{10}}[/tex]

[tex]\sigma_1 = \sqrt{252.24[/tex]

[tex]\sigma_1 = 15.88[/tex]

For week 2, we have:

[tex]\bar x = \frac{75+ 85+ 90+ 97+ 89+ 105+ 110+ 127+ 129+ 130}{10}[/tex]

[tex]\bar x = \frac{1037}{10}[/tex]

[tex]\bar x_2 = 103.7[/tex]

Then standard deviation

[tex]\sigma_2 = \sqrt{\frac{(75 - 103.7)^2 +................+ (130- 103.7)^2}{10}}[/tex]

[tex]\sigma_2 = \sqrt{\frac{3538.1}{10}}[/tex]

[tex]\sigma_2 = \sqrt{353.81[/tex]

[tex]\sigma_2 = 18.81[/tex]

Compare the standard deviations

[tex]\sigma_1 = 15.88[/tex]

[tex]\sigma_2 = 18.81[/tex]

Calculate the difference:

[tex]d = \sigma_2 - \sigma_1[/tex]

[tex]d = 18.81 - 15.88[/tex]

[tex]d = 2.93[/tex]

[tex]d \approx 3[/tex]

This implies that option (b) is true

Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)

Answers

d makes the most sense

The correct range is (80, 112).

The correct option is (D).

What is mean?

Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.

As per the given data:

We are given the mean of the sample.

The mean of the sample = 96

In each option, a range is given.

We have to find out which is the correct range for the given mean.

For a range (a, b) the mean is given by:

mean = (a + b)/2

By using the above definition and checking all the options:

For (76, 108)

mean = (76 + 108)/2 = 92, Not the correct range

For (82, 114)

mean = (82 + 114)/2 = 98, Not the correct range

For (78, 110)

mean = (78 + 110)/2 = 94, Not the correct range

For (80, 112)

mean = (80 + 112)/2 = 96, The correct range

The correct range is (80, 112).

Hence, the correct range is (80, 112).

To learn more about mean, click:

brainly.com/question/31101410

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Help, and if you send a link I whole report

Answers

fill in every x with 8 then solve the parentheses first then continue order of operations

In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.

Answers

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21

What is the length of the hypotenuse

Answers

Answer:

C=17

Step-by-step explanation:

15^2+8^2=c^2

C^2=289

C=17

The hypotenuse is 17cm you find it by using Pythagorean’s Theorem

A 16 ft ladder leans against a wall so that the base of the ladder is 5 ft away from the base of the wall. How far up the wall does the ladder reach.

Answers

Answer:

The ladder would reach 15.2 feet up

3
What is the difference of
21
?
4

Answers

Answer:

The difference is 4–3. If you want the difference between 3 and -4, then the difference is 7.

Step-by-step explanation:

your school is having a fundraiser in order to pay for t-shirts. They need to raise $882.69. They have already collected $92.85 in donations. Their goal is to have $190 donated each week. How many weeks do they need to fundraise?

Answers

first, find how much money they need more by subtracting $882.69 by $92.85
= $786.84
then divide by $190
= 4.14
= 5
therefore they need to fundraise for 5 weeks

There is 5 weeks do they need to fundraise.

What is the inequality?

Inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.

Your school is having a fundraiser in order to pay for t-shirts.

They need to raise $882.69.

They have already collected $92.85 in donations.

Their goal is to have $190 donated each week.

Let, x be the number of weeks do they need to fundraise.

The number of weeks do they need to fundraise is given by;

[tex]\rm 92.85 +190x > 882.69\\\\190x > 882.69-92.85\\\\ 190x > 789.84\\\\x > \dfrac{789.84}{190}\\\\x > 4.15[/tex]

Hence, there is 5 weeks do they need to fundraise.

Learn more about inequality here;

https://brainly.com/question/15140706

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GIVING BRAINIEST IF CORRECT!!!!!

Ciara is making a new outfit for dance. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need?
A. 7 1/4 yards
B. 1 1/4 yards
C. 2/3 yards
D. 2 2/3 yards

Answers

2 1/2 + 1 3/4= 4 1/4

4 1/4 - 3= 1 1/4

ANSWER:
B. 1 1/4 yards

An equation is shown.
x^3 = 125
What are all the possible values of x?

A. -5 only
B. 5 only
C. -5 and 5
D. 5 and 25

Answers

Answer:

the answer is C

Step-by-step explanation:

the answer is C

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