Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

Answer 1

Answer: Choice B

Open circle at 3. Shading to the right

========================================================

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.


Related Questions

Write the mixed numbers as fractions.
-1\1/2

Answers

Answer:

3/2

Step-by-step explanation:

1 1/2= 1 x 2 + 1

      = 3/2

multiple the following
[tex] \frac{18}{15} \times \frac{25}{12} [/tex]

Answers

Answer:

5/2

Step-by-step explanation:

(18/15)*(25/12)=(18*25)/(15*12)=450/180=5/2

find the distance between these points.
A(5,8), B(-3,4)

Answers

Answer:

Distance between the points is 8.94 units

Step-by-step explanation:

General formula:

[tex]{ \boxed{ \bf{distance = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y _{1} - y _{2} ) }^{2} } }}}[/tex]

substitute:

[tex]{ \sf{ = \sqrt{ {(5 - ( - 3))}^{2} + {(8 - 4)}^{2} } }} \\ = { \sf{ \sqrt{64 + 16} }} \\ = { \sf{ \sqrt{80} }} \\ = 8.94 \: units[/tex]

[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]

8.94 is ur answer i believe

please help asap don't give me the wrong answers.​

Answers

Answer: 340cm^

Step-by-step explanation:

you have to multiply them to find out

Solve the equation for x.
- 7(x + 4) - 4= - 32
Integer or fraction

Answers

Answer:

x=0

Step-by-step explanation:

- 7(x + 4) - 4= - 32

Add 4 to each side

- 7(x + 4) - 4+4= - 32+4

- 7(x + 4) = - 28

Divide by -7

- 7(x + 4) /-7= - 28/-7

x+4 = 4

Subtract 4 from each side

x+4-4 = 4-4

x=0

Answer and process:
-7(x-4) -4= -32
-7x +28 -4= -32
-7x +24 = -32
-7x = -32-24
-7x = -54
x= -54/7

Plssss help fasttt , I’ll mark u as the brainlest and follow u too

Answers

[tex]\huge\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

sec² θ (1 + sin θ) (1 - sinθ ) = k

sec² θ(1-sin²θ ) = k

sec² θ cos² θ = k

sec² θ. 1 /sec²θ = k

1 = k

.. k = 1.

Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points P = (-3,1) and Q = (-1,0). What is the equation of the line?
y =

Answers

Answer:

y=-x/2-1

Step-by-step explanation:

The slope of the line is y=-1/2. Using the slope intercept form, we have y+1=(-1/2)x, y=-x/2-1

Question 15 of 26
A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
B
с
4 yds
329
28
С
A
'
Triangle not drawn to scale
O A. 3.5 yds
O B. 4.1 yds
C. 2.8 yds
D. 4.5 yds

Answers

Answer:

3.5 yards

Step-by-step explanation:

The value of c in the triangle ABC is 3.5 yds, Option A is correct.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is ABC.

We have to find the length c in the triangle.

Now let us use sine rule to find the value of c.

c / sin 28° = 4 / sin 32°

The value of  sin 28° is 0.4695 and sin 32° is 0.5299

c / 0.4695 = 4 / 0.5299

Apply cross multiplication

c × 0.5299 = 4 × 0.4695

c × 0.5299 = 1.8636

Divide both sides by 0.5299

c = 1.8636/0.5299

c = 3.516

= 3.5 yds

Hence, the value of c in the triangle ABC is 3.5 yds, Option A is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7.

Which of the following questions is a statistical question

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The first question.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Statistical questions have answers in which data varies. The first question, "How many sticks of gum can you chew at one time?" can be statistical because not all people can chew the same number at one time. Some can chew 2 sticks, others can chew 3 or 4.The other three questions can be answered with a fixed number.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the number if 20% of 64 is 10% of it?

Answers

Answer:

128

Step-by-step explanation:

20% of 64

= 0.2 × 64 = 12.8

10% = 12.8 , then

100% = 12.8 × 10 = 128

Answer:

The number is 128

Step-by-step explanation:

Let the number be represented by X

Therefore

20/100*64=10/100*X

---10X=1280

Now dividing both sides of the equation by 10 it will be

=10X/10=1280/10 which is

---X=128

Therefore the number is 128

ASAP
When the following quadratic equation is written in general form, what is the value of "c"?
THE EQUATION IS IN THE ATTACHMENT
a.) -8
b.)-2
c.)-6
wrong=reported

Answers

Answer:

+ 2 is a value for "C"

if the general form is ax^2 + bx +c and you want the A to be a positive integer...

then the c value would be -8

3x^2 - 8 = 0

Step-by-step explanation:

It is Keke’s birthday, and her parents want to surprise her with a room full of balloons. Use the Fermi process
to estimate the number of balloons needed to fill Keke’s living room. Assume the living room is a rectangular
prism with a length of 30 feet, a width of 45 feet, and a height of 11 feet. Assume the balloons are spheres
with a radius of 0.45 feet. Show your work

Answers

Answer:

im not sure sorry .

Step-by-step explanation:

Please help me solve this

Answers

9514 1404 393

Answer:

  a) q = 15 at minimum average cost; q = 10 at minimum marginal cost

  b) marginal cost = average cost = 225 at q = 15

Explanation:

The average cost is the total cost divided by the number of units.

  A = C/q = 300 -10q +1/3q^2

The marginal cost is the derivative of the total cost.

  M = 300 -20q +q^2

__

a) The minimum average cost is where its derivative is zero.

  A' = 0 = -10 +2/3q   ⇒   q = 15

The minimum marginal cost is where its derivative is zero.

  M' = -20 +2q   ⇒   q = 10

__

b) The average cost for 15 units produced is ...

  A(15) = 300 -10(15) +1/3(15^2) = 225

The marginal cost at that same production level is ...

  M(15) = 300 -20(15) +15^2 = 225

The average cost and marginal cost are equal at the minimum average cost.

What do the sides in a triangle add up to? I know that the inner angles of a triangle add up to 180°, but what do the sides of a triangle add up to?

Answers

Answer:

The most basic fact about triangles is that all the angles add up to a total of 180 degrees. The angle between the sides can be anything from greater than 0 to less than 180 degrees. The angles can't be 0 or 180 degrees, because the triangles would become straight lines.

Step-by-step explanation:

basic only

a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?​

Answers

Answer:

don't know

Step-by-step explanation:

-9y-2=x
4x-3y=31
Solve by substitoution

Answers

Answer:

x=7

y=-1

Step-by-step explanation:

x=-9y-2--------(1)

4x-3y=31

4x=31+3y

x=31/4+3/4y-------(2)

x=-9y-2=31/4+3/4y  

   -9y-3/4y=31/4+2

   -39/4y=39/4

            y=-1

substitute in 1

(-9*(-1))-2=x

x=7

Help me with this question please‼️‼️

Answers

Answer: 1/2  (choice C)

Explanation:

The gradient is the same as the slope

m = slope

m = rise/run

m = (change in y)/(change in x)

m = (y2-y1)/(x2-x1)

m = (6-1)/(6 - (-4))

m = (6-1)/(6+4)

m = 5/10

m = 1/2

In decimal form, this becomes 0.5

A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.

A positive slope goes uphill as we move to the right (due to the positive rise value).

Answer:

One way to find the gradient is using the expression :

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}[/tex]

So [tex]m = \frac{6 - 1}{6- (-4)} =\frac{5}{10} =\frac{1}{2}[/tex]

2 square5 + 5 square5

Answers

Answer:

=2^5+5^5

=32+3125

=3157

Question 3 of 10
Which method for calculating credit card balances is best for consumers who
make large payments?
A. Average monthly balance method
B. Previous balance method
ОООО
C. Average daily balance method
D. Adjusted balance method
SUBMIT

Answers

Answer:

D. Adjusted balance method

Step-by-step explanation:

Find the value of x in the triangle shown below.
13
5
х

Answers

Answer:

x=12

Step-by-step explanation:

This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that [tex]C^2=a^2+b^2[/tex] where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, [tex]b=\sqrt{13^2-5^2}[/tex]. Next, solve what is under the root to get, [tex]b=\sqrt{144}[/tex]. Finally, square root 144 for the final answer b=12.

Answer:

x = 12

Step-by-step explanation:

c² = a² + b²

13² = 5² + b²

169 = 25 + b²

b² = 169 - 25

b² = 144

b = 12

please help asap it's important!!!​

Answers

Answer:

486cm^2

Step-by-step explanation:

Surface area of cube = (6a^2)

6×9×9=486.

What is the height of the building?

Answers

(33.85307637623) = 33.9m

the answer is option d

Which classification describes the following system of equations?
(12x+5y-32= 36
x-2y + 4z = 3
9x-10y + 5z = 27

Answers

Answer:

(12x+5y-32=36

12x-x+5y-2y-32=36

A school bus has seating for 75 students. There are 13 buses at a school. What is the maximum number of students
the buses can seat
225 students
750 students
975 students
985 students
Help

Answers

Answer:

75 students and 13 buses are just 75 x 13

975 students

Step-by-step explanation:

75 x 13 = 975

Answer:

975

Step-by-step explanation:

13 x 75 = 975

sons
Find the values of a and b in the rhombus, Solve for the value of c, it ca tb.
3b+4, (5a-5)
A
Question Progress
(14a +20)
13b-9
A5
OB.4.7
Oct
0,63
Pest Selection
2
30
13'5 Sunny

Answers

Answer:

D

Step-by-step explanation:

The sides of a rhombus are congruent , then

13b - 9 = 3b + 4 ( subtract 3b from both sides )

10b - 9 = 4 ( add 9 to both sides )

10b = 13 ( divide both sides by 10 )

b = 1.3

The diagonals are perpendicular bisectors of each other , then

14a + 20 = 90 ( subtract 20 from both sides )

14a = 70 ( divide both sides by 14 )

a = 5

Thus c = a + b = 5 + 1.3 = 6.3 → D

What word best describes PR?

Answers

Answer:

PR is the diameter of the circle

Answer:

Diameter

Step-by-step explanation:

Diameter: connecting 2 points on a circle passing through the center.

OAmalOHopeO

1)An average American human lives about 78.74 years. A survey gave an average time spent going to the bathroom to be 102 minutes per week. If there are 52 weeks in a year, 7 days in a week and 1 day is 24 hours, then how many minutes do Americans spend on the toilet in their life time?

2)How many minutes have you spent on going to the bathroom if you are at the age of 16?​

Answers

1) Americans spend 418,784.358 minutes on the toilet in their life time.

2) 85,096.56 minutes if you are at the age of 16.

I need help ASAP!! Please explain how to solve the question

Answers

Answer:

318

Step-by-step explanation:

Let's divide this shape into 2 triangles & 3 rectangles.

Area of Triangle = 1/2 (bh)

(1/2 (9x6) ) x 2   = 54

Area of Rectangles = (9x11) + (8x11) + (7x11)

= 264

264 + 54 = 318km^2

Answered by g a u t h m a t h

Multi-Step Literal Equations
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
t+1/2b=Y

Answers

[tex]\\ \sf\longmapsto t+\dfrac{1}{2}b=Y[/tex]

take t right side

[tex]\\ \sf\longmapsto \dfrac{1}{2}b=Y-t[/tex]

[tex]\\ \sf\longmapsto \dfrac{b}{2}=Y-t[/tex]

[tex]\\ \sf\longmapsto b=2(Y-t)[/tex]

[tex]\\ \sf\longmapsto b=2Y-2t[/tex]

46 x 53 please show with work or something

Answers

Answer:

2,438

Step-by-step explanation:

    53

    46

______

     318

   212

_______

   2438

6 times 3 is 18. Put the 8 in the ones place and carry the 1 ~ 6 times 5 is 30. Add the carried 1 and you have 31. Put that next to the 8. ~ 4 times 3 is 12. put the 2 under the 1 in 318 and carry the 1. ~ 4 times 5 is 20. Add the carried 1 and you have 21. ~ Put that next to the 2. Now add 318 to 2120 and you have the answer of 12438.

Other Questions
Solve : p, q, s, t, w The Nepalese have the trend of working in foreign countries for long. What might be the benefits and drawbacks of brain drain? Point out three for each. How effectiveness of a small force is increased when action area of force isreduced? what is the HCF of 7 and 13 I am very confused on how to do this. Which core American value is at the center of the debates surrounding affirmative action programs? Equality of opportunity Integration Protection of individual rights Republicanism 100. I don't like the people who....(show) no interest in anything. A) show B) shows C) to show D) showing101. Mathematics.... to us by Mr. Them now.A) is teaching B) teaches C) are taught D) is being taught102. The news about the earthquake in Philippines...on radio several times so far.A) has already broadcast B) has already been broadcast C) will already broadcast D) already broadcast103. According to him, the United States..... an important part in preserving peace in the world.A) play B) plays C) to play D) playing104, Linguistics...... the study of the ways in which languages work. A) is B) are C) am D) be105. There.... different ways to do that work. A) is B) are C) am D) be106. The people in this town.... very friendly: A) is B) are C) am D) be112. The police.... the robber. A. were arrested B. has arrested C. have arrested D. was arresting A 10 oz bottle of shampoo cost $2.40 and a 12oz bottle cost $2.64 find the unit rate for each which bottle has the lower unit cost A change in an organism's body is a(n)A change in the environment is a(n)A. instinctive, learnedB. internal stimulus, external stimulusC. chemical signal, displayD. association, condition An effort of the steamboats popularity was that : A . Fewer your people travel by railB . Steam locomotives became less popular C . People began to build canals in the U.S & Europe D . More people began to travel between the U.S and Europe change this into passive voice eleming discovered the penicillin On calculating which of the following quantities , does the body have an effect in simple projectile motion? Which one is better project supreme or JD? What is the volume of a pyramid below?44 in^333in^322in^366in^3 list and explain genetic abnormalities The space between the canine and the first premolar in the lower jaw of some primates is a(n) Group of answer choices mandibular gap. alveolus. retrocanine space. diastema. You are a student in Danang city. You will describe your neighborhood for new students. You should say: 1/ Where to buy food2/ Where to buy furniture 3/ Where to get a bus to university4/ Where to send a package5/ How do you feel about Danang city? Which amendment do you think is the most important for America today? Explain your answer? What are some of the major issues with geotagging? What concerns you the most? A truck was driven a 140 miles in 3 1/2 hours. If a car is driven the same distance at an average speed of 20 miles an hour faster than the trucks average speed, how long will it take the car.