1x -8 < 2x + 1
What is the largest integer value that makes this inequality true


Answers

Answer 1

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

Simplify:                                                                                                            x - 8 < 2x + 1[Subtraction Property of Equality] Subtract x on both sides:                        -8 < x + 1[Subtraction Property of Equality] Subtract 1 on both sides:                        -8 < xRewrite:                                                                                                           x > -8

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

---

Topic: Algebra I


Related Questions

Please use an equation step by step and please show the numbers do not use words

Answers

Answer:

What's the question????

Step-by-step explanation:

Elle and Scarlett were making a quilt. Elle completed 33 100 33100 of the quilt, and Scarlett completed 4 10 410 of the quilt. How much of the quilt have they completed together? A. 37 100 B. 73 100 C. 37 10 D. 73 10

Answers

The amount of quilt that they will both complete together= 37×10. That is option C.

Calculation of total quilt

The total amount of quilt made by Elle = 33×10

The total amount of quilt made by Scarlett= 41×10

To determine the total amount of quilt made by both individual, add the number of quilt achieved by each.

33×10 + 4×10 = 37×10

Therefore, the amount of quilt that they will both complete together= 37×10.

Learn more about summation here:

https://brainly.com/question/542712

16. Read the bar graph and answer the following questions
(1) What is the information given by the bar graph?
(ii) How many tickets of Assam State Lottery were sold by the agent?
(ii) of which state, were the maximum number of tickets sold?

Answers

Answer:

Hope it helps!!!!!!Brainliest pls!!!!!!!

Last year, there were b pies baked for the bake sale. This year, there were 235 pies baked. Using b, write an expression for
the total number of pies baked in the two years.

Answers

Answer:

235+b

Step-by-step explanation:

I may not have understood this, but I don't know where the confusion is?

20.4yd rounded to the nearest tenth use 3.14 as pi

Answers

Answer:

6

Step-by-step explanation:

The are 3 blue marbles, 4 red marbles and 2 yellow marbles. Find the ratio of blue marbles to red and yellow marbles. options:

A 1:2


B 3: 4


C 3: 2


D 4:3

Answers

Answer:

1:2

Step-by-step explanation:

The ratio unsimplified of blue marbles to red and yellow is 3:6, but since both numbers in the ratio can be divided by 3, we can simplify the ratio to 1:2.

I can’t seem to get the answer right. What is log 10000?

Answers

Answer:

[tex]log(10000) = 4[/tex]

Step-by-step explanation:

Count the number of zeros, if it's a perfect power of 10. :)

Answer:

the answer is for

Step-by-step explanation:

have a great day

What is the area of this trapezoid

Answers

The answer is in the image below

help someone help me pls​

Answers

3. Start at 1:25 ends at 2:15
Elapsed time is 0 hours and 50 minutes

4. Start at 3:45 ends at 4:20
Elapsed time is 0 hours and 35 minutes

5. start at 5:30 ends at 7:15
Elapsed time is 1 hour and 45 minutes

Good Luck

The length of a rectangle is 14.5 in and the width is 3.2 in. What is its areA

Answers

Answer:

46.4 in ^2

Step-by-step explanation:

We know the area of a rectangle is found by

A = l*w  where l is the length and w is the width

A = 14.5 * 3.2

A = 46.4 in ^2

PLEASE HELP PLEASE HELPPP

Answers

Answer:

40

Step-by-step explanation:

The LCM is forty.

PLEASE MARK AS BRAINLIEST!

Answer:

40

Step-by-step explanation:

2/5 = 16/40

1/8 = 5/40

The table shows the purchases made by two customers at a meat counter. You want to buy 2 pounds of sliced ham and 3 pounds of sliced turkey. Can you determine how much you will pay? Explain.​

Answers

Answer:

No

Step-by-step explanation:

The equations have infinitely many solutions, so you cannot determine the cost of each meat.

You want to buy 2 pounds of sliced ham and 3 pounds of sliced turkey.

We can not determine the amount you will pay.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

The table shows the purchases made by two customers at a meat counter.

Let x represents the weight of a sliced turkey and y be the weight of a Sliced ham.

Now, we have a system of equations,

0.5x + y = 8.5  {equation 1}

2x + 4y = 34 {equation 2}

Simplify,

x + 2y = 17  

Divide by 4, we get,

0.5x + y = 8.5

That means, the lines are the same.

So, there are infinitely many solutions possible.

Therefore, there are infinitely many solutions possible.

To learn more about the system of equation;

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#SPJ2

Candy is paving a narrow pathway with pebbles. She needs 100 pebbles for each four feet of path. How many feet can she pave if she has 525 pebbles?

Answers

21 feet
525/100=5.25
5.25 times 4 = 21

can somebody help me with 6 and 7 and show the work for it? thank you

Answers

Answer:

Answer For Number 6 is $30

Step-by-step explanation:

We can find how much molly would save by first finding out how much 20% of $275 is. We can do that by multiplying 275 by 0.20 since 0.20 is 20% in decimal form

[tex]275*0.20 = 55[/tex]

Now that we know 20% of 275, we can find the price of the microwave at store B by subtracting 55 from the original price.

[tex]275 - 55=220[/tex]

Now we can find how much Molly would save by subtracting our discounted price from the price of the microwave from store A

[tex]250-220=30[/tex]

Hence, the amount she would save is $30

pls helpp !

During a sale, a store offered a 15% discount on a bed that originally sold for
$350. After the sale, the discounted price of the bed was marked up by 15%.
To the nearest whole number, what percent of the original price was the price
after markup?

Answers

Answer:

342

Step-by-step explanation:

85% of 350 is 297.5, 115% of 297.5 is 342.125

16.
.
What is the sum of the geometric series Σ2
Σ(3)
rounded to the nearest whole number?
(1 point)
χ 0
O4
Ο0
O2
O3

Answers

What is the sum of the geometric series Σ2

Σ(3)

rounded to the nearest whole number?

Answer: O2

forty thousand in numbers​

Answers

Answer:

forty thousand= 40,000

Step-by-step explanation:

Mr. Carnegie will buy pencils and pens for his students
for the school year.
• He can spend no more than $30 on pencils and pens.
• Pencils cost $0.15 each, and pens cost $0.75 each.
• He needs to buy at least 3 times as many pencils as
pens.
Which of the following systems of inequalities can be
used to determine the number of pencils that Mr.
Carnegie can buy?
O A. 0.15x + 0.75y 30 and y > 3x
OB. 0.15x +0.75y < 30 and y < 3x
OC. 0.15x +0.75y > 30 and 3y > x
D. 0.15x +0.75y < 30 and 3y

Answers

The system of inequalities that can be used to determine he number of pencils that Mr.Carnegie can buy is 0.15x +0.75y < 30 and y < 3x.

What are inequality sign and what do they mean?

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

What are the system of inequalities?

The total amount spent on pens and pencils cannot exceed $30. Thus, the inequality sign to be used is <. Thus, the equation is: 0.15x +0.75y < 30 and 3x > y

To learn more about inequality, please check: https://brainly.com/question/5031619

what is the lcm 10,8,4​

Answers

Answer:

40 is the LCM of 10,8 and 4

Answer:

40 is the least common multiple

Step-by-step explanation:

between grid lines is 1 foot.
A. Is 30 feet of fencing enough to enclose the yard?

Answers

Yes it is enough to enclose the yard

how many numbers are a units away from zero if a>0

Answers

Answer:

There are 3 units away.

Step-by-step explanation:

yes it right

If I have 53 shirts and have to get 100 shirts in 37 days, how many shirts do I have to get in less 37 day?

Answers

Answer:

if you have 53 shirts and have to get 100 shirts in 37 day's you will need to get 47 shirts

Whats the best practice to measure: inches, meter, yards

Answers

Engineers rely greatly in the international system for measurement, for length this translates to meters hence, for best practice, the answer is meters

Standard unit for measuring Length

While other profession will depend on yards, inches, of foot, the standard unit for measurement of length is meters.

The meter is mostly known as the unit for measuring length because it serves as a base unit, other units bigger(Kilometer) or even smaller (millimeter or centimeter) take reference from the meter

Lear more about Standard international units here:

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−k+3k what is the answer to this problem

Answers

Answer:

It is 2k

Step-by-step explanation:

All you do is add them together

What are the sales taxes on the state level collected for

Answers

Answer:

The goverment collects sales taxes so they can use the moeny to pay for services like police, firemen, hospitals. They also use them to pay for building things like roads, puplic schools, puplic outdoor places, and building

Step-by-step explanation:

The hypotenuse of a right triangle measures 15 cm and one of its legs
measures 9 cm. Find the measure of the other leg. If necessary, round to the
nearest tenth.

Answers

Answer:

12

Step-by-step explanation:

Use Pythagorean Theorem

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]9^{2}[/tex] + [tex]b^{2}[/tex] = [tex]15^{2}[/tex]

81 + [tex]b^{2}[/tex] = 225

[tex]b^{2}[/tex] = 144   (subtract 81 both sides)

b = 12      (square root each side)

Given -

➣ The hypotenuse of a right triangle measures 15 cm.

➣ one of its legs (base) measures 9 cm.

To find -

➣ the measure of the other leg (perpendicular).

➣ to round the answer to nearest tenth.

Solution -

Here,

p = perpendicular of the triangle

b = base of the triangle

h = hypotenuse of the triangle

Using the Pythagoras Theorem,

(height)² = (perpendicular)² +(base)²

i.e h² = p² + b²

➩ (15)² = p² + (9)²

➩ p² = (15)² - (9)²

➩ p² = 225 - 81

➩ p² = 144

➩ p = √144

p = 12 cm

Hence, the measure of the other leg is 12cm.

_____________________________

12

__

10

__

Round 12 to nearest tenth gives 10 as the answer.

Please Help!

The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds, x.

From its resting position, how long does it take the weight to bounce one direction, then the other, and then return to its resting position?

-3s
-6s
-16s or
-32s

Answers

It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position

What is a periodic function?

A periodic function is a function that repeats itself at regular intervals. The period of this function is the time taken to complete one oscillation while the amplitude is the distance from the origin to peak.

From the diagram:

Time taken for the weight to bounce one direction, then the other, and then return to its resting position = 7.5s - 1.5 s = 6 s

It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position

Find out more on periodic function at: https://brainly.com/question/8636691

Simplify.

(x2+4x)−(x2+6x−3)



10x−3

2x2+10x−3

−2x+3

−2x

Answers

Solution:

Note that:

Given expression: (x² + 4x) − (x² + 6x − 3)

Remove the brackets

(x² + 4x) − (x² + 6x − 3)=> x² + 4x - x² - 6x + 3

Combine like terms

x²(1 - 1) + x(4 - 6) + 3=> x²(0) + x(-2) + 3=> -2x + 3

I need help
At olive garden Emily’s food costs $25.67 in total. If she left a 15% tip to the waitress, how much did Emily pay in total?

Answers

Answer:

The answer is $29.52

Step-by-step explanation:

25.67*.15=3.85

25.67+3.85=29.52

Find the difference equation
Y= a / x +b

Answers

Answer:

y+a+x=b

Step-by-step explanation:

hope it's work ty make me brainless tyy

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