Graph the solution of y - 4 < 2 on a number line.

Answers

Answer 1

Answer:

y<6

Step-by-step explanation:

You will solve it like a one-step equation but just leave the less then symbol. so anything less then 6 is your answer

Answer 2

The solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted below.

What is the number line?

The number line is the way of representation of number and digits in a arranged form to understand the data batter.

Characteristics of the graph of the inequality-

Open circle- When the value of variable is equal the given number, then the graph of the inequality has a open circle.Closed circle-When the value of variable is not equal the given number, then the graph of the inequality has a closed circle.The ray will move to the right- When the, value of variable is greater then the number, then the ray will move to the right.The ray will move to the left- When the value of variable is less then the number, then the the ray will move to the left.

The equation which need to be solve is,

[tex]y - 4 < 2[/tex]

Add 4 both side of the equation to solve it further,

[tex]y < 2+4\\y < 6[/tex]

This is the simplified form of the equation. This equation suggest that the value of y is less than the number 6.

Thus, the arrow should be point left side and the open circle is put on number 6 to make the number line for given equation as shown in figure attached below.

Thus, the solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted below.

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Graph The Solution Of Y - 4 &lt; 2 On A Number Line.

Related Questions

The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy?

Answers

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.

Answer:

5

Step-by-step explanation:

The number of water bottles [tex]= w[/tex]

The number of juice bottles [tex]= j[/tex]

We have, [tex]3w + 4j = 39[/tex]

When we purchase 6 bottles of juice, [tex]j = 6[/tex]

So,

[tex]3w + 4j = 39[/tex]

[tex]3w + 4 \times 6 = 39[/tex]

[tex]3w + 24 = 39[/tex]

[tex]3w = 39 - 24[/tex]

[tex]3w = 15[/tex]

[tex]w = \frac{15}{3}[/tex]

[tex]w = 5[/tex]

Therefore, we can buy 5 bottles of water.

Marisela cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long. How many yards of ribbon did she cut? Express your answer as the sum of a whole number and the remaining fractional units. Draw a number line to represent the problem.

Answers

Answer:

[tex]2\frac{1}{2}[/tex] yards.

Step-by-step explanation:

Please find the attachment.  

We have been given that Marisela cut four equivalent lengths of ribbon. Each was 5 eighths of a yard long.    

To find yards of ribbon cut by Marisela, we will multiply 4 by 5 eighths of a yard (5/8).

[tex]\text{Total ribbon cut by Marisela}=4\times \frac{5}{8}[/tex]

[tex]\text{Total ribbon cut by Marisela}=\frac{4\times 5}{8}[/tex]

[tex]\text{Total ribbon cut by Marisela}=\frac{20}{8}[/tex]

Express answer as the sum of whole number and the remaining fractional units:

[tex]\text{Total ribbon cut by Marisela}=\frac{16+4}{8}[/tex]

[tex]\text{Total ribbon cut by Marisela}=\frac{16}{8}+\frac{4}{8}[/tex]

[tex]\text{Total ribbon cut by Marisela}=2+\frac{4}{8}[/tex]

[tex]\text{Total ribbon cut by Marisela}=2\frac{4}{8}[/tex]

Therefore, Marisela cut [tex]2\frac{4}{8}[/tex] yards of ribbon.  

Answer:

CUCUMBER

Step-by-step explanation:

What is the vertex of angle 4 in this diagram?

Answers

The vertex would be C. The angle is angle DCB or angle BCD

2x+10 + 4x+1 pleasee help!!

Answers

2x+10 + 4x+1

2x+4x+10+1 ( combine like terms)

2x+4x=6x

10+1=11

Answer: 6x+11

Answer:

6x+11

Step-by-step explanation:

Collect the like terms and add them up.

2x+4x and 10+1

=6x+11

Have a nice day!!!!!!! :-)

KA

Find x, if f(x) = 12 and f(x) = 3x.

o 36

o 12

o 4

o 3​

Answers

Answer:

4

Step-by-step explanation:

i just had that question

The required simplified value of the x is 4. Option C is correct.

Given that,
f(x) = 12 and f(x) = 3x to determine the value of the x,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = 12
f(x) = 3x

Equating the above 2 equations,
12 = 3x
3x = 12
x = 12 / 3
x = 4

Thus, the required simplified value of the x is 4. Option C is correct.

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Find the slope of the line passing through each of the following pair of points. (4, 0), (-2, 8)

Answers

The slope would be 4/3

Answer:

-4

-----

3

Step-by-step

x1,y1

(4,0),

x2,y2

(-2,8)

y2-y1/x2-x2

8-0/(-2)-4=8/-6= -4

                          -----

                           3

factor x squared-6x+3x-18 by grouping ​

Answers

Answer:

(x - 6)(x + 3)

Step-by-step explanation:

Given

x² - 6x + 3x - 18 ( factor the first/second and third/fourth terms )

= x(x - 6) + 3(x - 6) ← factor out (x - 6) from each term

= (x - 6)(x + 3)

Write 7.66 x 10^6 km^2 in standard form

Answers

Final answer:

To convert 7.66 x 10^6 km^2 to standard form, shift the decimal point six places to the right to get 7,660,000 km^2.

Explanation:

To write 7.66 x 106 km2 in standard form, you will need to move the decimal place to the right six times, because the exponent on the 10 indicates how many places to move the decimal point. Since the exponent is positive, the decimal moves to the right, and we add zeros where there are no more digits.

In practice, you take 7.66 and shift the decimal point six places to the right: 7,660,000. Hence, 7.66 x 106 km2 in standard form is 7,660,000 km2.

What is 8+w/4 when w =16

Answers

Answer:

12

Step-by-step explanation:

8 + w/4

w = 16

8 + 16/4

16/4 = 4

8 + 4

8 + 4 = 12

12

Hey!

------------------------------------------------

Steps To Solve:

~Substitute

= 8 + 16/4

~Solve using PEMDAS

= 8 + 4

= 12

------------------------------------------------

Answer:

[tex]\large\boxed{12}[/tex]

------------------------------------------------

Hope This Helped! Good Luck!

i need help whoever got this answer right gets brainlist


Using the appropriate constant of proportionality, provide the value in the table that makes the quantities proportional to one another. Answer format: 8/9 *

Answers

Answer:

3

Step-by-step explanation:

If you look closely every X is changing by 3 so 3·y=x

Answer:

The value in the table that makes the quantities proportional to one another is y = 3

Step-by-step explanation:

Two quantities x and y  are proportional one to another if they can be expressed  as

y = kx

where k is the constant of proportionality. We can find k using an specific point. Take the first one

y = kx

k=  y/x  with (3.1 )

k= 1/3

So

y =1/3x for this case

If the two quantities are proportional, this rule must be true for any point (x,y) . Lets prove it

Point 2 (6,2)

2 =1/3*(6)

2= 2 True

Point 4 (12,4)

4 =1/3*(12)

4= 4 True

So to accomplish the rule in point 3, and finally in all table we must have that

y =1/3x is true  for Point 3 (9,y) Then

y = 1/3 (9) = 9/3 = 3

y= 3

Y must be 3

14% of 81 is what number?

Answers

Answer:

11.34

hope it helps. :)

14% of 81 is 11.34
type the following in your calculator then check google to see if you are correct

81 x 14%

give me brainliest please :)

Please I need help?!

Answers

Answer:

1a. 460313

1b. 405040

1c. 100000 more

2a. 176960

2b. 12097

2c. 839000

2d. 452210

Step-by-step explanation:

2d. 442210

+ 10000

________

452210

2c. 849000

- 10000

________

839000

2b. 13097

- 1000

_______

12097

2a. 100000

+ 76960

________

176960

1c.

[tex] - 347077 + 447077 = 100000[/tex]

1b.

[tex]300000 + 90000 + 5000 + 40 = 395040 \\ \\ 10000 + 395040 = 405040[/tex]

1a.

[tex] -100000 + 560313 = 460313[/tex]

I am joyous to assist you anytime.

Sam has a total score of 500 on a game, compared to the maximum possible score of 1200.

Write this proportion as a percentage, correct to the nearest integer.

Answers

So for this all you have to do is put 500 over 1200 like this: 500/1200 and then divide 500 by 1200 to get a decimal which would be .416 .To get the percentage you have to multiply by 100 and get 41.6%. They want the nearest integer so the answer would be about 42% :)



What is the greatest common factor of 19 and 18?

Answers

Final answer:

The greatest common factor of 19 and 18 is 1 since 19 is a prime number and has no other factors that divide 18.

Explanation:

The greatest common factor (GCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the GCF of 19 and 18, we need to determine the factors of both numbers. Since 19 is a prime number, its only factors are 1 and itself (19).

The factors of 18 are 1, 2, 3, 6, 9, and 18. The common factors of 19 and 18 are therefore just 1, as 19 has no other factors. Hence, the greatest common factor of 19 and 18 is 1.

What is the solution to
−4x+5y=−12
x−6y=22

Answers

Answer:

The solution to the system is S= (-2, -4).

Step-by-step explanation:

Given the system

−4x+5y=−12

x−6y=22

The first step is to solve x from the first equation for example, and substitute the expression in the second equation.

1) -4x + 5 y = -12 ⇒ -4x = -12 - 5y ⇒ x = (-12 - 5y)/-4 ⇒ x = 3 + (5/4)y

2) x - 6y = 22 ⇒ (3 + (5/4)y) - 6y = 22 ⇒ 3 + (5/4)y - 6y = 22

⇒ 3 - (19/4)y = 22 ⇒ (-19/4)y = 22- 3 ⇒ y = 19/(-19/4) ⇒ y =-4.

Finally, with the value obtained for "y", you have to return to the original equations and replace it to obtain the "x" value.

-4x + 5y = -12 ⇒ -4x + 5(-4) = -12 ⇒ -4x - 20 = -12 ⇒ -4x = -12 + 20

⇒ -4x = 8 ⇒ x = 8/-4 ⇒ x = -2.

Summarizing, the solution to this system is S = (-2, -4).

Evaluate M2/P2 for M = 10, N = -5, and P = -2?
A.-5
B.5
C.-25
D.25

Answers

Answer:

(10)^2/(-2)^2 = 100/4= 25

the answer is d

The answer should be D
Because when you put the numbers
10^2 / -2^2 = 25

Two parallel lines are crossed by a transversal. Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom left angle is (5 x + 5) degrees. At the intersection of lines c and a, the bottom right angle is 115 degrees. What is the value of x? x = 12 x = 14 x = 22 x = 24

Answers

Answer:

C

Step-by-step explanation:just took test

Answer:

Step-by-step explanation:

d. 24

Use Order of Operations to simplify

8 + 7(4 exoponet 2 -3)

Answers

The answer is 99 because the order of operations is PEMDAS, you do the parentheses first and work from there.

3(6+5y)=2(-5+4y) help huhu

Answers

Answer:

-4 = y

Step-by-step explanation:

3(6+5y)=2(-5+4y)

18 + 15y = -10 + 8y

+10             +10

28 + 15y = 8y

      - 15y     -15y

 28 = - 7y

28/-7 = -4

-7y/-7 = y

Answer:

y = -4

Step-by-step explanation:

distribute both 3 and 2 through the parenthesis, move the variable to the left side and change its sign, move constant to the right side and change its sign, collect like terms, calculate the difference, divide both sides of the equation by 7, and your answer would be -4

Julie is thinking about the product-54. Which expressions could result in this product? Select all that apply.

Answers

What are the different answer choices?

Your watch Gains 0.5 minutes in 6hours. How much will it can in three days.

Answers

Answer:

6 Minutes

Step-by-step explanation:

3 days is 72 hours

72/6 = 12

12 * 0.5 = 6

A town has accumulated 3 inches of​ snow, and the snow depth is increasing by 6 inches every hour. A nearby town has accumulated 6 ​inches, and the depth is increasing by 3 inches every hour. In about how many hours will the snowfall of the towns be​ equal?

Answers

Answer:

1 hour

Step-by-step explanation:

set town one equation to  3 + 6x and town two equation to 6+3x

set these two equations equal to each other and solve for x

3 + 6x = 6 + 3x

3x = 3

x = 1

1 hour

Which function has the given graph?

Answers

Answer:

none of the above

Step-by-step explanation:

None of the above because it's non linear meaning there is no function.

A house can be build using 15 panels,how many houses can be build using 1000 panels

Answers

the answer is 66 because there cannot be fractions of a house

Answer: 67

Step-by-step explanation:

I think this could be solved using division. 1000 / 15 is 66.66666, but I would round that to 67.

How many times greater is 0.000006 than 0.00000002

Answers

Final answer:

0.000006 is 300 times greater than 0.00000002.

Explanation:

To find out how many times greater 0.000006 is than 0.00000002,

We need to divide 0.000006 by 0.00000002.

So, let's perform the calculation:

0.000006 ÷ 0.00000002 = 300

This means that 0.000006 is 300 times greater than 0.00000002.

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If BD and AC are perpendicular , DBE = (2x - 1), and CBE = (5x - 42), find the value of x.

Answers

Is this a circle? We need a picture

Terry,Sasha, and Harry each chose a number.Terrys number is 10x as much as Sasha’s. Sasha’s number is 0.4. What number did each person choose?

Answers

sasha -
0.4

terry -
0.4 • 10 = 4

harry -
1/10 • 0.4 = 0.04

sasha chose 0.4, terry chose 4, harry chose 0.04

Solve −2x2 − 16x − 44 = 0.

Answers

The solution to the quadratic equation -2x² - 16x - 44 = 0 are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]

Given the quadratic equation in the question:

-2x² - 16x - 44 = 0

To solve the quadratic equation -2x² - 16x - 44 = 0, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a}[/tex]

From the equation:

a = -2, b = 16, c = -44

Plug these values into the above:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(-16)\±\sqrt{(-16)^2 - 4(-2)(-44)} }{2(-2)} \\\\x = \frac{16\±\sqrt{256 - 352} }{-4} \\\\x = \frac{16\±\sqrt{-96} }{-4} \\\\x = \frac{16\±4\sqrt{6}i }{-4} \\\\x = -4 \±4\sqrt{6}i\\\\x = -4 -4\sqrt{6}i \ or \ x = -4 +4\sqrt{6}i[/tex]

Therefore, the values of x are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]

Y is inversely proportional to x. If y= 400 when x =2 find y when x= 200

Answers

Answer:  4

Step-by-step explanation:

Inversely proportional means xy = k, where k is the constant of proportionality

First, find k when x = 2 and y = 400 ----> 2(400) = k   --> 800 = k

Then, find y when x = 200 (knowing that k = 800)

                                    200y = 800

                                           y = 4

Which expression is the simplest form of -(2x+y)+3(x-4y)?

Answers

Answer:

x-13y

Step-by-step explanation:

Combine like terms and when you do x is by itself and you have 13 y

making the answer x-13y

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