Which Number Line Shows The Solution To 1/4 X + 1 < 5 (2024)

Mathematics High School

Which Number Line Shows The Solution To 1/4 X + 1 < 5 (1)

Answers

Answer 1

Answer:

The correct line is the third one, x must be less than 16.

Step-by-step explanation:

Give me a brainliest.

Answer 2

Option B is the correct representation of the number line of the inequality condition.

What is linear inequality?

According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).

Given equation

1/4 x + 1 < 5

subtract 1 from both sides,

1/4 x + 1 - 1 < 5 - 1

1/4 x < 4

multiply both sides by 4,

1/4x * 4 < 5*4

x < 16

the graph should be less than 16 and in that 16 is not included.

Hence option B is correct.

Learn more about linear inequality;

https://brainly.com/question/11897796

#SPJ5

Related Questions

The number 120 is increased by 75% The result is then decreased by 50% What is the final number?

Answers

Answer:

105

Step-by-step explanation:

120 + (120 x .75) = 120 + 90 = 210

210 - (210 x .50) = 210 - 105 = 105

\begin{cases} y = -2x-4 \\\\ y = 3x+3 \end{cases}







y=−2x−4
y=3x+3

Answers

Answer: x = -1.4; y = -1.2

Step-by-step explanation:

y = -2x - 4

y = 3x + 3

Substitute

3x + 3 = -2x - 4

Add 2x to both sides

5x + 3 = -4

Subtract 3 from both sides

5x = -7

Divide both sides by 5

x = -1.4

y = -2x - 4

Substitute -1.4 for x

y = -2 (-1.4) - 4

y = 2.8 - 4

y = -1.2

Hope this is what you were asking! If so, I hope it helped! :3

What is the surface area of the rectangular prism below

Answers

Answer:

length times width. times height

I literally don’t get it. Someone please give me the answers or help me out.

Answers

Answer:

a=6

b=2

Step-by-step explanation:

42 divided by 7 gives you "a" which is 6

6 divided by 3 is 2

2 divided by "b" (2) is 1

9. Write quadratic function with zeros 3, 6

what is 2x + 4 for =x 3

Answers

The Answer is 10.
2(3)+ 4
6+4
=10

Step-by-step explanation:

use the FOIL method

A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial. Then Outer means multiply the outermost terms in the product."

Write an equation representing the direct variation.
х
-2
3
4.
7
y
5
-7.5
-10
-17.5
1) k =
2)

Answers

Answer:

y = -2.5x

Step-by-step explanation:

The constant of variation = y/ x = 5/-2 = -2.5

Also -7.5 / 3 = -2.5

-10 /4 = -2.5 and so on

Nila uses the equation c=8h to figure out the total amount c she should charge a customer if she babysits for h hours.
Part A. Find the constant of proportionality and explain what it means.

Part B. Nila decides to increase the rate she charges customers by $2 per hour. What equation should she now use to determine how much to charge her customers? Explain.

PLS HELP!!!

Answers

Answer:

c = 10h

Step-by-step explanation:

c = 8h

Where,

c = Total amount she should charge a customer

h = Number of hours

8 = amount charged per hour of babysitting

A. 8 is the constant of proportionality and it means Nila charges $8 per hour of babysitting

B. If she decides to increase the rate she charges customers by $2 per hour, then the new equation she should use to determine how much to charge her customers is:

c = (8 + 2)h

c = 10h

I don't understand this problem, can someone help please?

Answers

Answer: either first or second choice

Step-by-step explanation:

The triangles are similar. Find the value of x.​

Answers

Answer:

x = 18

Step-by-step explanation:

We can use a proportion to solve for x.

30/x = 40/24

Cross-multiply

40x = 720

Divide by 40

x = 18

Check the answer

30/18 = 40/24

30 x 24 = 18 x 40

720 = 720

This means that we can be sure our answer is correct. If the answer didn't produce a true statement when substituted into the original proportion, we would know our answer was incorrect.

Please help ASAP help me with this please ASAP

Answers

Answer:

x = 19√3

y = 38

Step-by-step explanation:

x/19 = cot 30° = √3

x = 19√3

sin 30° = 19/y

1/2 = 19/y

y = 38

please help me 5-7g-9=

Answers

Answer:

4 - 7g

Step-by-step explanation:

Combine like terms: 5 - 9 - 7g = -4 - 7g (answer)

2. The total surface area of a cylinder is 40tTcm2. If radius is 2.5cm
then it's height is

Answers

Answer:

Approximately 2.04 cm in height.

Step-by-step explanation:

h=V/π r^2

H=40/π×2.5^2≈2.03718

^2 means squared

in words its height equals 40 over pi times 2.5cm squared

Evaluate the following expression. -8 - (-10)^2. please please help I will give brainlist 1st who ansers​

Answers

Answer:

-108

Step-by-step explanation:

-8 - ( -10 )²

= -8 - 100

= -108


graph a line with a slope of 3/4 that contains the point (2, -3)

Answers

Im assuming this is one of those things that you move the dots around and the line goes with it...?

you would want to put one of the dots on the point (2,-3) because that needs to be on the line, then you put the other dot 3 units up and 4 units over from that which would be at (5,1) because that's the slope specified

15 POINTS!! pls help and explain how you know!

Answers

Answer:

not linear, linear means straight. and the graph is not straigh in all of. these expressions

Step-by-step explanation:

Nathan bikes every 2 days and swims every 5 days. He biked October 2 and swam October 5th. On what day will be swim and bike on the same day? Either, the 4th, 8th, 10th, 12th, 15th, 20th.

Answers

Answer: See explanation

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 2 and 5. This will be:

Multiples of 2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 ....

Multiples of 5 = 5, 10, 15, 20 ....

This means that he will swim and bike every 10th day together. This will be on the 10th, and 20th in October.

Answer:

On the 10th!

(I got it right on iready)

Geometry^^^^^I WILL MARK THE BRAINEST!

Answers

Answer:

i believe a

Step-by-step explanation:

not too sure

Triangles 1 and 2 each have a 350 angle, are they similar?

Answers

yes they are similar

i’m so confused someone please help me

Answers

Answer:

Figure 5

Step-by-step explanation:

Figure 5, if you draw a line down the middle it is the same on both sides

this is 1 day late- help. ASAP

Answers

Answer:

the third option

Step-by-step explanation:

do you want an explanation?

the answer to this question is x=5

The population of wolves in a forest was 138 in 2000. The population is increasing at a rate of 5% per year. How many wolves will be in the forest in 10 years?

Answers

Answer:

207 wolves

Step-by-step explanation:

Given

Initial population = 138

Rate = 5%

Time = 10years

First calculate the increment after 10 years

Increment = 138 * 5 * 10/100

Increment = 138 /2

Increment = 69

Number of wolves in 10years = 138 +69

Number of wolves in 10years = 207wolves

Which two numbers have a product of 18 and a sum of -11?

Answers

Answer:

X=-8

Y=10

Step-by-step explanation:

Kelli’s bank raised their ATM transaction fee from $0.25 per use to $0.40 per use. Kelli has made 13 ATM transactions since the fee increase. How much will she now be charged for those transactions?

Answers

Answer:

the answer to this would be $5.20

Step-by-step explanation:

0.40 times 13 = 5.20

Answer:

the answer to this would be $5.20

Step-by-step explanation:

0.40 times 13 = 5.20

Help plssssssssssss?????

Answers

The answer to this should be Y = 1/6x -6

Write an explicit formula for the sequence 4,-8, 16,-32

Answers

Answer:

f(x)=f(4)-[tex]2^{x-1}[/tex]

Step-by-step explanation:

The rate of change can be found out by dividing -8 by 4, 16 by -8, or -32 by 16.

The rate of change is -2

To find f(1), I will find the first value in the sequence, which is 4.

Apply these values to the explicit formula:

f(x)=f(1)[tex]r^{x-1}[/tex]

write:
y-3 = 1/2(x-6)
in standard form

(x and y on the same side)
(Ax + By = C)

Answers

y-3= 1/2 (x-6)
y-3= 1/2x -3
-1/2x + y = 0
I think that’s it

What is the least common multiple of 4,5 and 12 ?

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

I hope this helps! if you go to calculator soup and type lcm in it, it can tell you the answers. Please give me brainliest.

Calculator soup will explain to you it's answers.

Neeeed helpppp nowwww!!!!!

Answers

I think the answer is the second one?

A wheel with a diameter of 12 inches will move 377 inches when rolled five times. How far will the same wheel move to the nearest inch in 16 rolls?
HELP ME I BEG YOU SMART PEOPLE

Answers

Answer:

1, 206 inches

Step-by-step explanation:

Which Number Line Shows The Solution To 1/4 X + 1 &lt; 5 (2024)

FAQs

On which number line is a point plotted at −1514? ›

Because it is negative it goes backwards, so it would be on the left side of -15.

Which number line represents the solution set for the inequality 4 x 3 ≤ 2 2x? ›

Which number line represents the solution set for the inequality -4(x + 3) ≤ -2 - 2x? Summary: The number line which represents the solution set for the inequality -4(x + 3) ≤ -2 - 2x is x ≤ -5.

How do you solve a number line? ›

Number Lines as Mathematical Tools
  1. Locate the first number on the number line.
  2. To add: move as many steps as the second number to the right. To subtract: move as many steps as the second number to the right.
  3. The number you land on is the answer.

What is the position of 1 4 on the number line? ›

1/4 we have to mark on the right side of number line because it is a positive number having no negative number . That is why we will mark it on the right side of the number line . As we know the denominator is 4 so between every number we will keep four points distance.

How to show on a number line? ›

Below are the steps the whole numbers to represent on number line:
  1. Draw a straight line.
  2. Mark a point at the extreme left as 0.
  3. Mark another points to the right of 0. Label them as 1, 2, 3,… The distance between these marks must be uniform. They are said to be at a unit distance from one another.

What is the point where the number line is called? ›

The point 0 on the real number line is called the Origin.

Which point of the number line represents? ›

Every point on a number line is representing corresponding real number, and every real number to a point. The integers are often shown as specially marked points evenly spaced.

How do you determine which number is a solution of the inequality? ›

To check the solution to an inequality, replace the variable in the inequality with the value of the solution. If the solution is correct, the simplified inequality will produce a true statement.

How can I find the solution set of inequality? ›

To find the solution set for an inequality, you need to figure out which values of the variable make the inequality true. One way to do this is to plug in different values for the variable and see if they satisfy the inequality.

What is a number line example? ›

A number line is a line with equally spaced intervals marked with increasing numbers. For example, a number line can increase by 1 unit each. An example of interval numbering is shown below: 0, 1, 2, 3, 4, ...

What is number line rule? ›

On a number line, a number on the left is always less than a number on the right. Similarly, a number on the right is always greater than a number on the left.

How to set up a number line? ›

  1. How Do You Draw a Number Line? ...
  2. Place Negative Numbers on the Left Side of Zero. ...
  3. Place Positive Numbers on the Right Side of Zero. ...
  4. Space All Values Equally. ...
  5. Does a Number Line Have to Be a Straight Line?
Apr 17, 2024

Top Articles
Latest Posts
Recommended Articles
Article information

Author: Duane Harber

Last Updated:

Views: 5367

Rating: 4 / 5 (71 voted)

Reviews: 86% of readers found this page helpful

Author information

Name: Duane Harber

Birthday: 1999-10-17

Address: Apt. 404 9899 Magnolia Roads, Port Royceville, ID 78186

Phone: +186911129794335

Job: Human Hospitality Planner

Hobby: Listening to music, Orienteering, Knapping, Dance, Mountain biking, Fishing, Pottery

Introduction: My name is Duane Harber, I am a modern, clever, handsome, fair, agreeable, inexpensive, beautiful person who loves writing and wants to share my knowledge and understanding with you.