Mathematics High School

Select the three inequalities that have n = 3 in the solution set
A. n + 5 < 9
B. 13 n < 1
C. 3n + 1 >7
D. 3n > 9.5
E. n-2<5

Answers

Answer 1

Answer:

Its just E

I'm sorry if I'm wrong

Answer 2

Answer: A, C, E

Solve for all the inequalitites.

n + 5 < 9

n < 9 - 5

n < 4

∴ n = 3 is a part of the solution set.

13n < 1

n < 1/13

∴ This definitely doesn't include n = 3.

3n + 1 > 7

3n > 6

n > 2

∴ n = 3 is part of the solution because n is larger than 2.

3n > 9.5

n > 9.5 ÷ 3

n > 3.16666666

∴ n = 3 is not part of the solution set.

n - 2 < 5

n < 5 + 2

n < 7

∴ n = 3 is a part of the solution set.

Related Questions

What is the formula for finding the circumference for a circle with just the radius?

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Answer: The formula is C=2 π r

Step-by-step explanation: Hope this helps

Rectangle ABCD is similar to Rectangle JKLM.
What is the ratio (ABCD to JKLM) of the corresponding side lengths?

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9514 1404 393

Answer:

  2 to 3

Step-by-step explanation:

The ratio of side lengths is the square root of the ratio of areas:

  32 to 72 = 4 to 9 . . . . simplified ratio of areas

Then the ratio of side lengths is ...

  √4 to √9 = 2 to 3

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Step-by-step explanation:

step 1. c = 14(pi) m = 43.96m

step 2. c = 2(pi)(3) = 6(pi) m = 18.84in

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Answer:

A. The number of people infected increases expontially by approximately 80/ per month

Step-by-step explanation:

I'll just remind

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The screen is black

Ifj. 1. what is the value of i

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Answer:

i

Step-by-step explanation:

The square root of a negative number is identified as an imaginary number (i )

An imaginary number (i) with exponent 3 or any other exponent remains an imaginary number.

The answer is:

i

A computer store buys a computer system at a cost of ​$370.80. The selling price was first at $618 ​, but then the store advertised a 20% markdown on the system.

Answers

Answer:

The answer is 494.40 for the first question and then the second answer is 395.52

Step-by-step explanation:

Answer:

$494.40

Step-by-step explanation:

618 x 20% or .2 = $123.60.

$618 - $123.60= $494.40.

Hope this helps!

question: which angles are vertical angles?

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6 and 7 are vertical.

5 and 8 are vertical.

Answer:

<AOD, <BOC And <DOC ,<AOB

19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression​

Answers

Answer:

70/100.

Step-by-step explanation:

When adding fractions, you need to find a common denominator.

This just means that the numbers at the bottom of both fractions you are adding must be the same.

So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).

To do this, you need to multiply 10 by 10 to get 100.

What you do to the bottom, you must always do to the top as well.

So multiply 7 by 10 and get 70.

70/100 will replace 7/10.

Now you can add fractions because the bottom numbers are the same.

Solve each system by graphing y = -3x - 4,y = 1/2 x + 3

Answers

Answer:

answer is x=-2, y=2

Step-by-step explanation:

y=-3x-4,

y=1/2x+3

now plug in any points for x for both equations. I will plug in both x as 0.

y=-3(0)-4

y=-4

(0,-4)

y=1/2(0)+3

y=3

(0,3)

We have points now to plot on a graph.

Continue what I did. Maybe plug in 1 for x for both equations.

Hope this helps!

Answer:

x= [tex]\frac{-8y -6}{7}[/tex]

Step-by-step explanation:

Step 1: Add (-1)/2x to both sides.

−3x − 4y + [tex]\frac{-1}{2}[/tex] x = [tex]\frac{1}{2}[/tex] x + [tex]\frac{-1 }{2}[/tex] x

Step 2: Add 4y to both sides.

[tex]\frac{-7}{2}[/tex] x - 4y + 4y = 3 + 4y

[tex]\frac{-7}{2}[/tex] x = 4y + 3

Step 3: Divide both sides by (-7)/2.

[tex]\frac{-7 }{2}[/tex] x

      = 4y+3

[tex]\frac{-7}{2}[/tex]        [tex]\frac{-7}{2}[/tex]

can anybody help pls

Answers

Answer:

2t

Step-by-step explanation:

The expressions are not the same because different terms are negative. We can visualize the difference by rewriting the expressions as 13t + (-2t) and (-13t) + 2t. In the first expression, 13t-2t, the 2t is negative because it is being subtracted, and subtracting a number is the same as adding a negative.

The answer is 2t ^^ hope this helps

A certain region of America with over 500,000 households has a mean household income of $70,000 with a standard deviation of $20,000. Economists plan to take random samples of 625 households and calculate the sample mean income for each sample. Calculate the mean of the sampling distribution of x-bar.

Answers

Answer: Mean: 70,000

Standard Deviation: 500

Step-by-step explanation:

The  mean is 70, 000 and standard deviation is 800.

What is Standard Deviation?

The term "standard deviation" (or " σ ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Given:

A certain region of America with over 500,000 households.

Mean, [tex]\mu[/tex] = 70,000

and, Standard Deviation, [tex]\sigma[/tex] = 20,000

n = 625

So, the new mean = old mean

                               = 70, 000

and, the standard deviation = [tex]\sigma /[/tex]√n

                                              = 20,000 / √625

                                              = 20,000 / 25

                                              = 800.

Hence, the mean is 70, 000 and standard deviation is 800.

Learn more about Standard Deviation here:

https://brainly.com/question/23907081

#SPJ5

The perimeter of a rectangle is 61 centimeters. The length is 4 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?

A= 2w + 2(w +4) = 61
B= 1/2w + 2 (w+4) =61
C=2w + 1/2 (w +4) =61
D= 1/2 w + 1/2 (w +4) =61

Answers

Answer:

A

Step-by-step explanation:

P=2L+2w

P=61

W=W

Since length is 4cm longer

Therefore length=W+4

General equation=2w+2(w+4)=61

Find the unit rate for this situation: ride a bike 64 miles in 4 hours

Answers

The answer is 16 miles per hour

Si un terreno tiene 15 m de ancho y 40 m de largo y ademas al lado existen 5 terrenos identicos ¿cual es el area de todos los terrenos?​

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Answer:

16g + 24 - (13g- 15)

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2(16g+ 24) + 2(13g-15)

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express 4x-1= 3 as a linear equation in two variables​

Answers

Hello there!

~I hope you and your family are staying safe and healthy!

[tex]4x - 1 = 3[/tex]

We need to start by saying that y = 3

[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]

Thus, the equation above is in the two variable form where y = 3

Thus, the required equation is [tex]4x - y = 1[/tex]

Let me know if you have additional questions!

~Garebear

HELP ANSWER 6,8,9!! WILL MARK BRAINIEST

please show work too!!!

Answers

Answer:

Step-by-step explanation:

6). Since, m∠JMN = 90° [Given]

    And m∠JMK + m∠NMK = m∠JMN

    m∠JMK = m∠JMN - m∠NMK

                  = 90° - 28°

                  = 62°

    From the other figure,

    m∠STR + m∠STP = 180° [Linear pair of angles]

    m∠STR = 180° - m∠STP

                  = 180° - 118°

                  = 62°

    Therefore, mJMK = m∠STR = 62°

    And m∠JMK ≅ m∠STR

8). Since, BF is the angle bisector of ∠AFC,

    ∠AFB ≅ ∠BFC [By angle bisector theorem]

    ∠CFD ≅ ∠BFC [Given]

    Therefore, ∠AFB ≅ ∠CFD [Transitive property of equality]

9). AG is the bisector of CD,

    Therefore, CE ≅ DE ------- (1)

    IJ is the bisector of CE,

    Therefore, CK ≅ KE ---------(2)

    BH is the bisector of ED,

    Therefore, EF ≅ FD -------(3)

    Since, CE ≅ DE [Given as (1)]

    (CK + KE) ≅ (EF + FD)

    2(KE) ≅ 2(EF) [Given in properties (2) and (3)]

     KE ≅ EF

What is the sum of the measures of the interior angles of a 12-gon ?


A: 1620

B: 1800

C: 1980

D: 2160

Answers

i believe the answer is B: 1800

Answer:

B. 1800 degrees.

Step-by-step explanation:

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Answers

A or D. not sure 'bout it. sorry.

Answer:

b. [tex] {x}^{4} \:varies \: directly \: as \: y[/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{4} }{y} = 7 \\ \\ \implies {x}^{4} = 7y \\ \\ \implies {x}^{4} \: \alpha \: y \\ {x}^{4} \:varies \: directly \: as \: y[/tex]

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Answer:

Step-by-step explanation:

8) entire cost of meal = m

m = 14.68 + 14.68

  = 29.36

Solution $29.36

9) Let Elijah's height  = h

h + 6 = 48

      h = 48 - 6

  Solution 42 inches

10)     x - 15 = 20

              x = 20 + 15

Solution 35 ounces

How many distinct, real solutions does the following equation have?
x^2=49
A) Two distinct, real solution
B) One distinct, real solution
C) No solutions

Answers

Answer:

A) two          (they are 7 and -7)

Step-by-step explanation:

The sides of a rectangle have length x+1 and width x-5. which equation below describes the area A of the rectangle in terms of x?​

Answers

Option C

Area = length * width
Area = (x + 1)(x -5)
Use FOIL

x*x + x*-5 + 1*x + 1*-5
x^2 - 5x + x - 5
x^2 - 4x - 5

PLS HEL P ASAP NOT THAT HARD!! CONVERT TO ENTIRE RADICAL FORM

Answers

ven a chuparme el huevo

A circle has an area of 113 square centimeters. What is the radius of the circle?

Answers

So, first you want to have 113 then you are going to want to divide it by pi or 3.14. After that, square it.

Your answer would be 6

3. Find the area of the
shaded region.

Answers

Answer:

8 times 2 is 16 and with the line in the middle divide by 2 which is 8!

Answer:

16ft because if one side is 8ft and its split in the middle then the other side is 8ft making the answer 16ft

Consider the following two quadratic equations.
4x ^ 2 - 12x + 4 = - 4
- x ^ 2 + 4x - 3 = 0
What solution is true for BOTH equations?

Answers

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero. x=2,1

2. Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=3,1

Step-by-step explanation:

Hope it is helpful.....

Answer:

x = 1

Step-by-step explanation:

Solving the equations

4x² - 12x + 4 = - 4 ( add 4 to both sides )

4x² - 12x + 8 = 0 ( divide terms by 4 )

x² - 3x + 2 = 0 ← in standard form

(x - 1)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

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

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

The solution that is true for both equations is x = 1

The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle

Answers

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter =  2 widths + 2 lengths

74 = 2W + 2L

L = W + 3

substitute for L

74 = 2W + 2(W + 3)

74 = 4W + 6

68 = 4W

W = 17 meters

L = 20 meters

Answer:

Step-by-step explanation:

Givens

Let the width = w

Then the Length = w + 3

Formula

P = 2L + 2W

P = 74

Solution

Substitute w + 3 for L

2(W + 3) + 2W = 74       Remove the brackets

2W + 6 + 2W = 74        Collect Like Terms

4w + 6 = 74                  Subtract 6 from both sides

4w = 74 - 6

4w = 68                        Divide by 4

w = 68/4

w = 17

L = w + 3

L = 17 + 3

L = 20

Check

P = 40 + 34

P =74

Please help if you want BRIANLEIST!!!! :)) TY!!!

Answers

Answer: The correct answer is 5/4

Step-by-step explanation: can get the brainliest answer thanks.

Tommy buys a football for $20 plus 8% tax John buys a helmet for $25 plus 8% tax what is the difference in the amount Tommy and John paid including tax

Answers

Answer:

$5.40

Step-by-step explanation:

First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40

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