Which of the following inequalities are equivalent to the inequality x-b<3, where b is a constant? Select all that apply.

Which Of The Following Inequalities Are Equivalent To The Inequality X-b&lt;3, Where B Is A Constant?

Answers

Answer 1

Answer:

x - b - 3 < 0

Step-by-step explanation:

o

Answer 2

The inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is x-b<3. Solve the inequality and match it with the options.

x - b < 3

x - b - 3 < 0

From the options, we can see that the inequality x-b<3 is equivalent to the inequality x - b - 3 < 0.

Therefore, the inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

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Related Questions

The area of a recalangle that is 8 feet long and 4 feet wide is
a 12 sq ft
b22 sq ft
c 32 sq ft
d 36 sq ft ​

Answers

Answer:

C is the answer! You're welcome

Answer:

C is your answer

Step-by-step explanation:

8 x 4 = 32 sq ft

Hope this helps!  :)

What algebraic expression could represent the average of 2x, x + 3, and 6x?

Answers

Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

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If x + 2y = 8, and x - y = 5, what is the value of x?

Answers

Answer:

x = 6

Step-by-step explanation:

Let's solve y for x + 2y = 8.

x + 2y = 8

2y = -x + 8

y = [tex]-\frac{1}{2}[/tex]x + 4.

Let's solve y for x - y = 5.

x - y = 5

y = x - 5

Since both equations have been solved for y, we can combine them together into one!

x - 5 = [tex]-\frac{1}{2}[/tex]x + 4

x [tex]+ \frac{1}{2}[/tex]x = 4 + 5

1.5x = 9

x = 6

Hope this helped! If not, please let me know!

Please, Please help me

One number is 7 times a first number. A third number is 100 more than the first number If the sum of the three numbers is 865, find the numbers.

Answers

I believe the answer is 85


A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $34.98. Nate bought several hats, and the
total cost was $262.35.
How many hats did she buy

Answers

Answer:

15 hats

Step-by-step explanation:

First off, we need to divide 34.98 by 2 because it is 50 percent off.

We get 17.49 dollars.

262.35/ 17.49 because we need to find out how many hats Nate bought.

We get 15 hats

If your good at math and can do some one of my problems lmk but if not dont say yes or no just dont comment at all

Answers

Answer:

gbklkijgggddfhokjvhjk

1) A pair of snow boots at an equipment store in Big Bear costs $60. If there is a tax of 7% how much do you pay?
O $64.20
O $67.00
O $53.00
O $42.60

Answers

the answer will be 53.00 dollars

Answer:

$64.20

Step-by-step explanation:

%7 of a dollar is .07

.07 × 60 = 4.20

4.20 + 60 = 64.20

The book contains 200 thin sheets of paper.

The student wants to find the average mean, thickness of a sheet of paper in the book

Describe how he can determine such a small distance using only a ruler.

Answers

Answer:

Measure all the sheets together and divide by 200

Step-by-step explanation:

An average mean is the sum of something divided by how many things there are.  In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.

PLEASE HELP ME with this equation I’m struggling

Answers

Answer:

describe this

Step-by-step explanation:

the first one is the one that is closest to horizontal.

A line segment is defined by which of the following statements?

Answers

The statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

A line segment, in geometry, is defined as a line or part of a line having two endpoints.

A diagram showing a line segment with two distinct endpoints have been shown in the attachment below.

A line segment can also contain points between the two endpoints on the line.

Therefore, the statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

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19. A package of 12 confetti eggs costs $2.88.
At this rate, what is the cost of 1 confetti egg?

Answers

Answer:

0.24$

Step-by-step explanation:

Each egg costs 1/12 of 2.88.

So either you multiply 2.88 by 1/12

or you divde 2.88 by 12

Answer:

0.24

Step-by-step explanation:

you would divide 2.88 by 12 hope this helps.

pls answer for points

Answers

Answer:

Step-by-step explanation:

5/6 - (2/5 + 1/3)

25/30 - (12/30 + 10/30)

25/30 - 22/30 = 3/30 = 1/10

answer is b

A circle has a diameter of 18 inches. If 1 inch is approximately 2.5 centimeters, what is the diameter in centimeters?

Answers

Answer:

45

Step-by-step explanation:

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!

Answers

I got 2 : 3. You didn’t give answer choices but after you commented the answer choices I was able to determine that 2:3 is the answer.

Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish

Answers

It would take her 20 or 19 days

If f(x)=ax²+bx+c and f(1)=6,f(2)=11,f(3)=18 find the value of a,b,c​

Answers

Given:

f(x) = ax² + bx + c

f(1) = 6

f(2) = 11

f(3) = 18

Find:

value of a,b,c​

Solution:

Substitute x = 1 , 2 , 3 in the given polynomial.

★ f(1) = a(1)² + b(1) + c

⟹ 6 = a + b + c -- equation (1)

Similarly,

★ f(2) = a(2)² + b(2) + c

⟹ 11 = 4a + 2b + c -- equation (2)

★ f(3) = a(3)² + b(3) + c

⟹ 18 = 9a + 3b + c -- equation (3)

Subtract equation (1) from (2).

⟹ 4a + 2b + c - (a + b + c) = 11 - 6

⟹ 4a + 2b + c - a - b - c = 5

⟹ 3a + b = 5 -- equation (4).

From equation (3) ,

⟹ 18 - c = 9a + 3b

⟹ 18 - c = 3(3a + b)

Substitute the value of 3a + b from equation (4).

⟹ 18 - c = 3 * 5

⟹ 18 - 15 = c

⟹ 3 = c

substitute the value of c in equation (1).

⟹  6 = a + b + 3

⟹ 6 - 3 = a + b

⟹ 3 = a + b -- equation (5)

Subtract equation (5) from equation (4).

⟹ 3a + b - (a + b) = 5 - 3

⟹ 3a + b - a - b = 2

⟹ 2a = 2

⟹ a = 1

Substitute a value in equation (5).

⟹ 1 + b = 3

⟹ b = 3 - 1

⟹ b = 2

Therefore,

a = 1

b = 2

c = 3.

I hope it will help you.

Regards.

Type the missing number in this sequence: -71, -73, -75, -77 what comes before -71?

Answers

Answer:

-69

Step-by-step explanation:

The numbers are decreasing by -2.

Which means -71+[-2]=-69

What is the slope of the table below? (Pls hurry)

Answers

Ndndndnfnfhfjcjcj 1.5

Abraham has visited country somebody he has a cold or visiting at least 50 countries he plans to choose a school by visiting five new countries per year (Y) for the next several years which inequality and solution shows the amount of years they will take for Abraham to meet his goal

Answers

Question:

Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.

Answer:

[tex]Countries \geq 50 + 5y[/tex]

[tex]y \leq 29[/tex]

Step-by-step explanation:

Given

[tex]Countries = 50[/tex] ------ at least

[tex]Yearly =5[/tex]

Required

Represent as an inequality

"at least" means [tex]\geq[/tex]

So the countries he has visited can be represented as thus;

[tex]Countries \geq 50[/tex]

If

1 year = 5 countries

y years would be 5y countries

So, in y years; he'd have visited

[tex]Countries \geq 50 + 5y[/tex]

To determine the value of y.

We have that

[tex]Countries = 195[/tex] in the world

Substitute 195 for Countries

[tex]195 \geq 50 + 5y[/tex]

Collect Like Terms

[tex]195 - 50 \geq 5y[/tex]

[tex]145 \geq 5y[/tex]

Divide through by 5

[tex]145/5 \geq y[/tex]

[tex]29 \geq y[/tex]

Reorder

[tex]y \leq 29[/tex]

This means that; he'll visit all countries in at most 29 years' time

Two pounds of raw materials are needed to produce one product. The desired ending balance of raw materials is 10% of the of the next month's production needs. (Refer to your answer in Activity Sheet 05). The beginning inventory of raw materials is 4,000 pounds and raw material cost per unit is P 0.50/per pound.

Answers

Answer:

Purchases= production + desired ending inventory - beginning inventory

Step-by-step explanation:

Giving the following information:

Two pounds of raw materials are needed to produce one product.

The desired ending balance of raw materials is 10% of the next month's production needs.

The beginning inventory of raw materials is 4,000 pounds.

The raw material cost per unit is $0.50 per pound.

To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.

To calculate the purchase required, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

For example:

Production:

January= 5,000 units

February= 4,500 units

Direct material purchases January:

Production= 5,000*2= 10,000

Desired ending inventory= (4,500*2)*0.1= 900

Beginning inventory= (4,000)

Total purchase in pounds= 6,900

Total direct material cost= 6,900*0.5= $3,450

What is (16)-(11)7 in distributed property

Answers

Answer: I think you answer is -61 if not sorry

Step-by-step explanation:

Four students are to solve 5(x-3)=2x+6 which solution and explanation is right?

Answers

Answer:

pft

Step-by-step explanation:

not sure, im confused

Convert to a mixed number in simplest form 51/13​

Answers

Answer:

[tex]3\frac{12}{13}[/tex]

Step-by-step explanation:

51 / 13 = 3.9231 = 3

51 - (13 x 3) = 12

[tex]3\frac{12}{13}[/tex]

Answer:

3 12/13

Step-by-step explanation:

51/13

13 goes into 51 3 times

13*3 =39

51-39 =12

The 12 goes over the denominator

3 12/13

Please help me with this problem and explain

Answers

Answer: 29

It is very simple, just substitute.

x = 9, y = 10

Replace the x and y in the expression to that.

You get: 9 + 10 + 10. Just add and you will get 29.

Answer:

9+10+10=29

Step-by-step explanation:

We know that x=9, so where ever we see x we know it is 9. We also know that y=10, so where ever we see y we know it is 10. So then we just replace the variables with our numbers then just add them.  That is I got 9+10+10=29

Hope this helps!

Solve for : x
6x+34+ 8x+14
my last one please helpp

Answers

Answer:

x = 10

Step-by-step explanation:

8x + 14 = 6x + 34  (vertically opposite angles are equal)

Rearrange

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

So we know that they are equal to each other.

so 6x+34=8x+14

-6x

34=2x+14

-14

20=2x

/2

x=10

Help ASAP please please plsssssssssssss

Answers

Answer: 11 1/3 (eleven and one third)

Step-by-step explanation:

A local clothing store sells t-shirts for $8 each, sweaters for $12 each, jeans for $15 each. Let x represent the number of t-shirts sold, y represents the number of sweaters sold, and z represent the number of jeans sold. Write an expression to represent the total amount of sales from t-shirts, sweaters, and jeans

Answers

Answer:

8x + 12y + 15z

Step-by-step explanation:

Given the sales rate of three items: 8$ for t-shirts, 12$ for sweaters, and 15$ for jeans. It also states that these rates are represented by the corresponding variables being x for t-shirts, y for sweaters, and z for jeans.

To complete the expression, just combine the rate with the corresponding variables. i.e 8$ for t-shirts, and x for shirts = 8x, 12$ for sweaters and y for sweaters = 12y, 15$ for jeans, and z for jeans = 15z. Finally, sum them together.

8x + 12y + 15z

PLEASE HELP!!!! I HAVE TO TURN THIS IN IN 5 MIN!!!
ARE THE IMAGES IN THE CORRECT GROUPS????
(They have to be in groups of 3!)

Answers

Answer:

Orange with pink, Yellow with red, Purple with blue. Yellow should be 1x instead of 3x. Swotch the table under red with green aswell.

Show work.

Simplify 5! 3! / 2! 2!

Answers

Answer:

Simplify the expression.

Exact Form:

41 /12

Decimal Form:

3.41 6

Mixed Number Form:

3  5 /12

The lowest temperature ever recorded on Earth was $-89.2\degree\text{C}$ at Soviet Vostok Station in Antarctica. The highest temperature ever recorded was $56.7\degree\text{C}$ at Greenland Ranch in California. What is the difference between the highest and lowest recorded temperatures?

Answers

Answer:

145.9°C

Step-by-step explanation:

Given that :

Lowest temperature recorded (Soviet Vostock station Antarctica) = - 89.2°C

Highest temperature recorded (Greenland Ranch California) = 56.7°C

Difference between the highest and lowest recorded temperature :

(Highest temperature - lowest temperature)

(56.7°C - (-89.2°C))

= 56.7°C + 89.2°C

= 145.9°C

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