HELP, URGENT! 18 points+brainliest
Use the inequality to answer Parts 1-3.
−3(x−2)≤[tex]\frac{1}{3}[/tex]

Part 1: Solve the inequality. Leave answer in terms of a whole number or reduced improper fraction.

Part 2: Write a verbal statement describing the solution to the inequality.

Part 3: Verify your solution to the inequality using two elements of the solution set.

Answers

Answer 1

The solution to the given inequality -3(x - 2) ≤ 1/3 is x ≤ 17/9

How to solve inequality

-3(x - 2) ≤ 1/3

open parenthesis

-3x + 6 ≤ 1/3

collect like terms

-3x ≤ 1/3 - 6

-3x ≤ (1-18) / 3

-3x ≤ -17/3

divide both sides by -3

x ≤ -17 /3 ÷ -3

x ≤ -17/3 × 1/-3

x ≤ -17/-9

x ≤ 17/9

A verbal statement describing the solution to the inequality is x is less than equal to 17 over 9

Verifying the solution of the inequality:

-3(x - 2) ≤ 1/3

-3x + 6 ≤ 1/3

-3(17/9) + 6 ≤ 1/3

-51/9 + 6 ≤ 1/3

(-51+54) / 9 ≤ 1/3

3/9 ≤ 1/3

1/3 ≤ 1/3

Therefore, the -3(x - 2) ≤ 1/3 to the inequality -3(x - 2) ≤ 1/3 in verbal statement is x is less than equal to 17 over 9.

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Related Questions

Find the measure of the supplementary angles that satisfy each case. m<1 is less than m<2 by 40 degrees

Answers

Answer:

One angle is 70 and the other angle is 110

Step-by-step explanation:

x + 40 = y

x + y = 180  Supplemental angles add to 180

Substitutes x + 40 into the second equation by y

x + x + 40 = 180  Combine like terms

2x + 40 = 180  Subtract 40 from both sides

2x = 140  Divide both sides by 2

x = 70

Substitute in 70 for x in either of the original 2 equations

x + y = 180

70 + y = 180  Subtract 70 from both sides

y = 110

m1=70

m2=110

supplementary angles are two angles that add up to 180 so all you need to do is make an equation to find the answer.

we can make m1=x and m2 = y

x is less than y by 40 degrees so y-40=x

then we use the equation x+y=180 and replace x with what we found out and solve for y.

(y-40)+y=180 ---> 2y -40 = 180 ---> 2y = 220 ---> y=110

x+y=180 ---> x+110=180 ---> x=70

Simplify 2x+3y-2(x-y2)

Answers

Answer:

7y

Step-by-step explanation:

2x + 3y -2(x - 2y)

2x + 3y - 2x + 4y

2x - 2x + 3y + 4y

3y + 4y

7y

*Please mark brainliest answer

Paul had 84 fliers to post around town. Last week he posted 1/6 of them. This week, he posted 4/7 of the remaining fliers. How many fliers has he still not posted?

Answers

The number of fliers that he has not posted is 8

What is proportion?

Proportion can be defined as the mathematical comparison of two elements or numbers.

From the information given, we have that;

Total number of fliers is 84First week, 1/6 of the floors were postedThis week, 4/7 of the remaining were posted.

To determine the number of fliers remaining, we have that;

Remaining fliers for the First week

= 84 × 1/6

Multiply and find the quotient

= 14 fliers

Fliers remaining after the last week

= 14 × 4/7

Multiply and find the quotient

= 56/7

= 8 fliers

Thus, the number of fliers the he has not posted is 8

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what is 5/7 of 4/5 of 28/29

Answers

Answer: The least common denominator (LCD) is 1015.

Sonia will paint a large triangular sign with a base of 14 ft and a height of 8 ft. What is the area of the sign?

Answers

Answer:

56

Step-by-step explanation:

1/2 x 14 x 8

use the formula: half times base times height

Area of a triangle= 1/2 (base)(height)
A= 1/2(14)(8)
A=56 square feet

PLEASE HELP ASAP 40 POINTS

Answers

The mistake made by the student was using the composition f ° g(x) instead of g ° f(x). The correct form is g( f(0)) = - 9 / 2.

How to find the procedure error associated to a composition of functions

In this question we find two functions, with which we should perform an operation known as composition. Composition consists in substituting the input of a function by the other function. The operation is defined by the following expression:

f ° g (x) = f [g (x)]

Herein we must determine the mistake done by the student on the composition. If we know that f(x) = (3 · x - 7) / 4, g(x) = 2 · x - 1 and x = 0, then the value of g(f (0)) is:

g ° f (x) = g (f (x))

g ° f (x) = 2 · [(3 · x - 7) / 4]  - 1

g ° f (x) = (3 · x - 7) / 2 - 1

g ° f(x) = (3 / 2) · x - 7 / 2 - 1

g ° f(x) = (3 / 2) · x - 9 / 2

g ° f(0) = (3 / 2) · 0 - 9 / 2

g ° f(0) = - 9 / 2

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Is -5 3/11 greater than or less than -5.2

Answers

Answer:

Yes.

Step-by-step explanation:

-5 3/11 is equal to -5.27 repeating therefore, it is greater than -5.2. Hope this helps. :)

Find the midpoint of a line segment with endpoints at left parenthesis negative 5 comma negative 4 right parenthesis and left parenthesis 7 comma space 6 right parenthesis.

Answers

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 7 -5}{2}~~~ ,~~~ \cfrac{ 6 -4}{2} \right) \implies \left(\cfrac{ 2 }{2}~~~ ,~~~ \cfrac{ 2 }{2} \right)\implies (1~~,~~1)[/tex]

Write the statement "the sum of a number and 17.3 is at least −2.8" as an inequality.

−2.8 + b > 17.3
b + 17.3 ≥ −2.8
b + 17.3 ≤ −2.8
−2.8 + b < 17.3

Answers

The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8 which is option B

We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided

Let the number be b

so, the sum of two numbers would be

b + 17.3

It is given that the sum should be at least - 2.8

this means the sum is either equal to - 2.8 or sum is more than -2.8

So, the linear inequality equation comes to be

b + 17.3 ≥ - 2.8

Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is  b + 17.3 ≥ - 2.8 which is option B

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Answer:

b

Step-by-step explanation:

gimmeeeeee 10000 pointttsss.

daniel's parents spent $160 to rent a bounce house for 8 hours. How much is the hourly rate for the rental? I NEED HELP FAST!!!!!!! WILL GIVE 100 POINTS I PROMISE!!!!!

Answers

Answer: $20 per hour

Step-by-step explanation:

To find the hourly rate, simply divide the total cost by the amount of hours that the object was rented(same for unit price).

160/8=20

The hourly rate for the bounce house rental is $20.

What the person said above me

A new observed data point is included in set of bivariate data. You find that
the slope of the new regression line has changed from 1.7 to 1.1, and the
correlation coefficient only changed from +.60 to +.61. This new data point is
probably a (an):
A. predicted (y) value.
B. residual.
C. influential point.
D. outlier.
4
SUBMIT

Answers

New data point is residual.

When a data point is added or removed from the whole dataset, it might cause a significant change in the regression equation by either changing the slope or the relationship coefficient existing between the variables.

An influential point is one that changes the relationship existing between the dependent and the independent variables significantly in either direction.

Since the new observed data point decreases the slope of the regression line but increases the correlation coefficient existing between the independent and the dependent variable, we can probably say that the new data point is an influential point.

Thus, Option B. is correct.

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What are the three ways to represent a proportions

Answers

Answer:   Product of extremes (numbers on extreme edges) = product of means i.e., ad = bc

a, b, c, d,…. are in continued proportion means, a:b = b:c = c:d

a:b = b:c then b is called mean proportional and b2 = ac

The third proportional of two numbers, a and b, is c, such that, a:b = b:c

d is fourth proportional to numbers a, b, c if a:b = c:d

Step-by-step explanation:

Answer: GoodMorning: ) ✨ According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol '::' or '='. For example, 2:5 :: 4:8 or 2/5 = 4/8.

Two values x and y are said to be directly proportional to each other when the ratio x:y always remains the same. Example : If we buy two pen for 50 Rs. It will cost us 100 Rs for four pen. Two values x and y are said to be inversely proportional to each other when the ratio x:y1 always remains the same.

Hope This Helps <3

Step-by-step explanation:

He can you
find the cost C of downloading n sounds for n>1

Answers

Answer:

can you respond and explain more

Step-by-step explanation:

Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
When sales representatives for a pharmaceutical company drive to​ out-of-town meetings that require an overnight​ stay, they receive ​$160 for lodging plus ​$0.50 per mile driven. How many miles did Joe drive if his company reimbursed him ​$265 for an overnight​ trip?

The equation is ____. Joe drove ____ miles.

Answers

Answer:

1) y=160+0.5x

2) 210 miles=x

A _____ is a currency whose value is tied to another currency, meaning that the exchange rate is fixed.

Answers

A pegged currency is a currency whose value is tied to another currency, meaning that the exchange rate is fixed.

A fixed exchange rate, sometimes known as a tagged exchange rate, is a type of exchange rate regime in which a monetary authority fixes or pegs the value of one currency to the value of another, a basket of other currencies, or another measure of worth, such as gold.

An exchange rate stabilization strategy known as a currency peg involves a national government or central bank setting a fixed exchange rate for its own currency with a foreign currency or a basket of currencies.

A pegged currency is one whose value is fixed at a specific exchange rate because it is linked to another currency.

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50 point help needed Which table represents y as a function of x

Answers

Answer:4

Step-by-step explanation:

tbh because i said so

Chloe brought 1.2 x 10^2 paper plates and 5.04 x 10^3 napkins for her restaurant. She wondered ''How many times as great as the number of paper plates i brought was the number of napkins?


Explain how you know if the exponent to the answer will be positive or negative.


How many times as great as the number of paper plates Chloe brought was the number of napkins?

Answers

Answer:

Step-by-step explanation:

What is the simplified expression for-3cd - d (2c-4)- 4d?

Answers

The answer is -5cd.

Let me know if there is anything unclear with my solution to you and I’ll gladly explain it better.

how do i find the range of this ??

Answers

the range of the graphed relation is just:

R: y ∈ {2, 3, 4, 5, 6}

How to find the range of the given relation?

A relation maps elements x into elements y, and for that relation, we define the domain as the set of the possible inputs (values of x) and the range as the set of outputs (set of values of y).

On the table you already wrote we can see that the values of y are:

2, 3, 4, 5, 6

Then the range is just:

R: y ∈ {2, 3, 4, 5, 6}

Where "∈" means "belongs".

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Through (-3, 1), perpendicular to y = 1/2x-5

Answers

Find the negative reciprocal of the slope of the original line and use the point-slope formula y-y_(1)=m(x-x_(1)) to find the line perpendicular to y(1)/(2)x-5.

y=-2x-5

Step-by-step explanation:

the function f(x)=(4x-8)^2 is the image of g(x)=x^2 after a set of transformations have occurred. which of the following describes the transformation that occurred to g(x)

Answers

The transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units

How to describe the transformation that occurred to g(x)?

The equation of the functions are given as

f(x)= (4x - 8)^2

g(x) = x^2

Start by stretching the function g(x) horizontally by a scale factor of 4

This is represented as

g'(x) = g(4x)

So, we have

g(4x) = (4x)^2

This gives

g'(x) = (4x)^2

Next, we translate the function down by 8 units

This is represented as

f(x) = g'(x - 8)

So, we have

f(x) = (4x - 8)^2

Hence, the transformations that occurred to g(x) are horizontal stretch by a factor of 4 and a down translation by 4 units

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work out 5 x 6 /7-3+2

Answers

Answer:

5

Step-by-step explanation:

First we'd need to solve 5 x 6. When we solve 5 x 6 we'd get the answer 30. Then do 7 - 3, when we solve that we'd get the answer of 4. Now we add 4 with 2 and we'd get 6. Now we get the 30 and divide it with 6 and get our answer as 5. Therefore our final answer is 5.

I hope this helps, have a blessed day! :)

Which of the following is not a function of x?

Answers

The circled graph given at the end of the answer is not a function of x.

What is the missing information?

The graphs for which we choose the one which is not a function are missing, and are given at the end of the answer.

When does a graph represents a function?

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.

For this problem, we have that:

The circled graphed has vertically aligned points, that is, values of x inside the circle are mapped to multiple values of y, hence the graph is not a function.The other two graphs have no vertically aligned points, meaning that each value of x is mapped to only one value of y, hence they are functions.

Hence the circled graph given at the end of the answer is not a function of x.

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Between 10 pm and 7:36 am, the water level in a swimming pool decreased by 8/25 in. What is the constant rate

Answers

Answer:

he waters level dropped inch each hour

Step-by-step explanation:

- Between 10 P.M. and 7:45 A.M., the water level in a swimming pool

 decreased by 13/16 inch

- Assuming that the water level decreased at a  constant rate

- We need to find the drop each hour that means the unit rate of

 decreased of the level of the water

- At first lets hind how many hours between 10 P.M. and 7:45 A.M.

∵ Between 10 P.M. and mid-night 2 hours

∵ Between mid-night and 7:45 A.M. 7 hours and 45 minutes

- Lets change 7 hours and 45 minutes to hours

∵ 1 hour = 60 minutes

∴ 45 minutes = 45 ÷ 60 =  hours

∴ 7 hours and 45 minutes =  hours

∴ The total hours between 10 P.M. and 7:45 A.M. = 2 +  hours

∴ The total hours between 10 P.M. and 7:45 A.M. =

∵ The unit rate of decreased = The decreased level ÷ total hours

∵ The decreased level is  inche

∵ The total hours =  hours

- Lets change the mixed number  to improper fraction

∵  =

∴  =

∵ The unit rate of decreased =   ÷  

- To solve the division of 2 fractions change the division sign to

  multiplication sign and reciprocal the fraction after the division sign

∴ The unit rate of decreases =   ×

∴ The unit rate of decreases =  inch per hour

The water level dropped  inch each hour

Answer:

1/30 inch per hour

Step-by-step explanation:

The time passed was 9 hours and 36 minutes, which is the same as 9.6 hours.

So, the constant rate, in inches per hour, is

[tex]\frac{8/25}{240/25}=1/30[/tex]

sam ran 3 2/3 miles on friday. on saturday, he ran 2 1/9 more miles than he ran on friday. how many miles did he run on saturday? enter the answer in the box in the simplest fraction form. use "/" for the fraction bar

Answers

Answer:

5 7/9

Step-by-step explanation:

3 2/3 + 2 1/9 get the common denominator of 9 by making 2/3 6/9

3 6/9 + 2 1/9 add whole numbers to get 5 and numerators to get 7/9

thus 5 7/9

hope this helps! :)

A mole is a unit of measurement in chemistry. If 1 mole contains 6.02×1023 particles, how many particles are in 12 of a mole?

Answers

The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.

What is the number of particles in a separate substance given that one mole contains 6.02×10²³ particles?

It follows from the task content that 1 mole contains 6.02×1023 particles, and hence, the number of particles in 12 moles is to be determined.

On this note, it follows from proportion that since 1 mole contains 6.02×1023 particles, then, the number of particles is 12 moles is;

= 12 × 6.02 × 10²³

= 72. 24 × 10²³

= 7.224 × 10²³.

Ultimately, The number of particles which are in 12 moles of any substance given the premise that; 1 mole contains 6.02×1023 particles is; 7.224 × 10²³.

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Ken’s seventh grade class plans to collect empty aluminum pop cans as a fund raiser to buy two new books for the school library. The books will cost a total of $50. a. If $0.25 per pound is the current price for aluminum at the recycling center, how many pounds of empty cans will the class have to collect?

Answers

It is important to have C=200 pounds of empty cans, which is the amount of weight in pounds that the class needs to collect.

This is further explained below.

How many pounds of empty cans will the class have to collect?

Generally, the equation for empty cans is  mathematically given as

C= books total cost/ current price

Therefore

[tex]C=\frac{50}{(\frac{1}{4})}[/tex]

C= 200

In conclusion, the pounds of empty cans the class has to collect is

C=200 pounds are needed.

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Identify the key features of the function f(x)=|x-3|

Answers

The key features of the function are

Domain: -∝ < x < ∝Range: [0, ∝)Vertex = (3, 0)

How to determine the key features of the function?

The function is given as

f(x) = |x - 3|

The above function is an absolute value function, and the key feature are:

DomainRangeVertex

Generally, the domain of an absolute value function is the set of all real values

This means that

Domain: -∝ < x < ∝

An absolute value function is represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

By comparison, we have

Vertex = (3, 0)

a = 1

Because the variable a is positive, the vertex of the function is a minimum

So, the range is [0, ∝)

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In a class of 32 students
The mean height of the 14 boys is 1.56 meters
The mean of all students is 1.515 meters

Work out the mean height for the girls

Answers

When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.

How can the mean height for the girls be calculated?

From the question, we were given total number of students as  32

But the mean can be calculated as the ratio of all the sum of all the data to the total number of data,

the total height of all students= (32*1.56)=48.48

total height of 14 boys=(14*1.56)=26.64

number of girls is (32-14)=18

The mean height for the girls will be (26.64/1118)=1.48

Therefore, When the the mean height of the 14 boys is 1.56 meters and the mean of all students is 1.515 meters then the mean height for the girls will be 1.48.

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NOTE; This is a complete question , no given option , even on internet.

A boat traveled 150 miles in 1/2 hours.At this rate,how many miles will the boat travel in 8 hours??

Answers

Answer:

Good

Step-by-step explanation:

it is a

Answer:2400 miles

Step-by-step explanation:

150 miles in 1/2 hour. 150x2=300. 300 miles in 1 hour.300x8=2400. 2400 miles in 8 hours.

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