Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality

Answers

Answer 1

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:

1) [tex]2\cdot x >10[/tex] Given

2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]

But if [tex]c < 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]

Hence, correct answer is A.


Related Questions

For any two integers a and b, (a + b)² = a² + b²

Answers

Answer:

wrong

Step-by-step explanation:

(a+b)^2=(a+b)(a+b)

=a(a+b)b(a+b)

=a^2+ab+ab+b^2

=a^2+2ab+b^2

i hope it helps you

A cylinder has a base diameter of 4 centimeters and a height of 4 centimeters. What is its volume in cubic centimeters, to the nearest tenths place

Answers

Answer:

50.3 cm³

Step-by-step explanation:

Use the cylinder volume formula:

V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.

Plug in the radius and height into the equation:

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](2²)(4)

V = 16[tex]\pi[/tex]

V = 50.3 cm³

Answer:

50.3 cm³

Step-by-step explanation:

Use the cylinder volume formula:

V = r²h, where r is the radius and h is the height.

Since the radius is half of the diameter, and the cylinder has a diameter of 4 cm, this means the radius is 2 cm.

Plug in the radius and height into the equation:

V = r²h

V = (2²)(4)

V = 16

V = 50.3 cm³

do not get this please give me the answer

Answers

Answer:

6.25 ft

Step-by-step explanation:

we can use similarity of triangles

[tex]\frac{h}{25}=\frac{5}{20}\\\\\frac{h}{25}=\frac{1}{4}\\\\h=\frac{25}{4}\\\\h=6.25[/tex]

Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?

Answers

Answer:          $9.00

.......................................

help plz !! Which is the graph of an even monomial function?

Answers

Answer:

Imagie 1 and 2

monomial function graph look like this

<3 ily

Red

Answer:

The first image

Explanation:

Hope you have a great day!

On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 hour. What is the difference in her usage rates in quarts per hour?


A.14


B.23


C.415


D.1615

Answers

Answer:

(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr

The rule for division of fractions is: invert the denominator and multiply.

A cupcake baker is baking and selling cupcakes to make money

His equation which shows profit (y) for selling cupcakes at price (x) in dollars

The equation is y= -200(x-3)² + 450

questions :
1, What profit would the baker make if he sold cupcakes for $5?
2, What price would maximize his profits? ( if negative it is a loss)
3, What would the maximum profit be?

Answers

Answer:

uhh precious why u stalkin me????

Step-by-step explanation:

Hi I need help please, ill give brainliest if your correct

Answers

The answer you marked is correct because AB is parallel to CD and AB is perpendicular to EF

how to do this question plz ​

Answers

Answer:

7.2 pints

Step-by-step explanation:

a) 1 bowl --- 0.3 pints of soup

Since he has 24 bowls,

total amount of soup in the bowls

= 24(0.3)

= 7.2 pints

Thus, Martin put 7.2 pints of soup into the bowls.

Chris correctly measured the length of a line segment and his answer to the nearest centimeter. If the rounded measurement is 6cm, what would the most accurate statement about the actual measure of the line segment be?​

Answers

Answer:

The most accurate statement is that the actual measure of the line segment is between 5.5 cm and 6.49 cm

Step-by-step explanation:

Here, given the measurement of the line segment rounded to the nearest cm as 6 cm, we want to give the most accurate statement about the actual measure

What we need here is the set of numbers which can be rounded to 6 cm

From 5.5 cm to 6.49 cm , all the measurements here can be rounded up to 6 cm

So the most accurate statement will be that the actual measure of the line segment is between 5.5 cm and 6.49 cm

The most accurate statement about the actual measure of the line segment be is between 5.56 to 6.49.

The measurement of the line segment rounded to the nearest cm as 6 cm, we need to give the most accurate statement.

What is a line segment?

A line segment is a part of a line that connects two points which are distinct endpoints and contain every point on it.

From 5.56 cm to 6.49 cm, all the measurements here can be rounded up to 6 cm.

So, the most accurate statement will be the actual measure of the line segment between 5.56 cm and 6.49 cm.

Learn more about a line segment here:

https://brainly.com/question/25727583

A Health club charges $6 for Spin classes and $5 for Tennis classes to its non-members.
Members pay $440 a year and $3 per Spin class. Assuming you plan to do both activities, hov
nany days do you have to go to the club to justify a membership? Don't forget your units.


HELPPPP

Answers

Answer:

more than 55 days

Step-by-step explanation:

440 a year

6+5=11 per class

minimum number of classes to avail full benefit440/11=40

440+3x= > (6+5)x

8x=440

x=440/8=55

What is the slope of a line that
contains the points (4, 3) and (-1, -4)?

Answers

Answer:

I believe its -7/5 unless they want -7/-5

Step-by-step explanation:

(4,3) (-1,-4)

X1,y1 x2,y2

And it should be

Y2-y1

X2-x1

-4-3 = -7

Over

-1-4 = -5

So -7/5 or -7/-5 whatever your teacher perfers

Hope this helps

Dan’s school is planning a field trip to an art museum. Bus company A charges a $60 rental fee plus $4 per student Bus company B charges $150 plus $2 per student. How many students would have to go for the cost to be the same?

Answers

Answer: 45 students

Step-by-step explanation:

Company A’s charge can be represented by: 4s+60

Company B’s charge can be represented by: 2s+150

s is the charge per student

To find the cost at which they are the same, I will set both equations equal to each other.

4s+60=2s+150

-2s -2s

2s+60=150

-60 -60

2s=90 Divide both sides by 2

s=45

So when 45 students are going, the cost for both companies are the same.

At a local car wash Josh can vacuum 3 cars in 17 minutes. How many cars can he vacuum in an hour?​

Answers

Answer:

10 cars

Step-by-step explanation:

he can vacuum 3 cars in 17 minutes

so in 1 hour its (60/17) x 3

Or you can do 17/3 for how long it takes to clean 1 car

then divide 60 by that number, you round down for both since you don't complete the car if its a decimal

About 11 or 10 cars
60/17 = 3.5
3.5 x 3 = 10.5

Each day for two workweeks (10 days total), George weighs 4 bags from that day’s production. If the average of the means is 14 oz. and the average range is 0.4 oz., what is the lower control limit for an x-bar chart for this process?

a. 13.7084 oz.

b. 13.8768 oz.

c. 14.2916 oz.

d. 12.8000 oz.

e. 13.5908 oz.

Answers

Answer:

a. 13.7084 oz.

Step-by-step explanation:

Formula for Lower Control Limit =

(LCL = x-bar - A²R-bar)

x - bar = 14 oz

A2 = 0.729

R - bar = 0.4 oz

= 14 - 0.729 × 0.4

= 14 - 0.2916

= 13.7084oz

At the movies, Hunter bought 3 popcorn and 5 drinks. Each popcorn
costs $0.40 less than a drink. If he spent a total of $24.00, what was the
cost of each popcorn?


Step by step explanation pls!!!!

Answers

Answer:

P= $2.75

Step-by-step explanation:

So first we need to create our system of equations

since each popcorn is 0.40 less than each drink we can make the equation:

D - 0.40 = P we can rewrite that as P + 0.40 = D so that we have D by its self.

Next, we create the overall equation:

$24.00 = 3P + 5D

Now plug in D from the first equation into the second equation:

$24.00 = 3P + 5( P + 0.40)

Distribute the five and solve for P:

$24.00 = 3P + 5P + 2

$22.00 = 8P

P = $2.75

Now add 0.40 which would be $3.15 and plug it into the first equation just to make sure that the answer is correct.

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and slove an equation to match the situation. :


Equation:________________________

Solution:____ liters of 5% and _____ liters of 40%

Answers

Answer:

Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2

Solution: 5.71 liters of 5% and 4.29 liters 40%

Step-by-step explanation:

The volume of the 20% acid solution the scientist needs = 10 liters

The concentration of the solution she has = 5% and 40%

Therefore, we have;

X volume of the 40% solution is mixed with 10 - X volume of the 5% solution, to obtain 10 liters of the 20% solution

Therefore, we have;

Equation: X × 0.4 + (10 - X)×0.05 = 10 × 0.2

0.4·X + 0.5 - 0.05·X = 2

0.35·X = 2 - 0.5 = 1.5

X = 1.5/0.35 = 30/7

∴ The volume of the 40% solution = 30/7 liters ≈ 4.29 liters

The volume of the 5% solution = 10 - X = 10 - 30/7 = 40/7 liters ≈ 5.71 liters

Therefore, we have;

5.71 liters of 5% solution and 4.29 liters 40% solution.

Tammy usually uses her cupcake recipe to make 18 cupcakes, but this time 1 point
she wants to make 36 cupcakes. The recipe calls for 13/4 cups of sugar and
Tammy has 2 cups on hand. How much more sugar does she need?

Answers

Okay so 4 8 12 16 and she has to do its 8 she only needs 1 1/4 cups or 1.1

PLEASE HELP!!! 20 BRAINLIST

Look at points C and D on the graph:

A coordinate plane graph is shown. Point C is at negative 5 comma negative 1. Point D is at 0 comma 3. A segment connects the two points.

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

5.50 units
6.40 units
9.00 units
41.00 units

Answers

Answer:

Im pretty sure its 6.40 units

Step-by-step explanation:

The purchase price of a camcorder is $520. What is the total price if the sales tax rate is 9.5%?

Answers

Answer:

4940

Step-by-step explanation:

well you simply just multiply 9.5 by 520

can you help me please​

Answers

Can you repost with the graph?

find the value of x. PLEASE HELP

I need to show my work.

THANK YOU!!!

Answers

Answer:  x = 22

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

Work Shown:

The given angles are a linear pair, so they are supplementary.

(1+5x)+(3+3x) = 180

1+5x+3+3x = 180

(5x+3x)+(1+3) = 180

8x+4 = 180

8x+4-4 = 180-4 .... subtract 4 from both sides

8x = 176

8x/8 = 176/8 ..... divide both sides by 8

x = 22

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

Extra info:

1+5x = 1+5*22 = 1+110 = 111

3+3x = 3+3*22 = 3+66 = 69

111+69 = 180, which helps confirm the answer.

Step-by-step explanation:

Hope it helps man ......

PLEASE HELP ME ITS URGNT The sum of two consecutive integers is 173. What number is the greatest of the two consecutive integers?

Answers

Answer:

Let x=the smaller integer.

Let x+1+ the larger integer.

x+(x+1)=173

(x+x)+1=173

2x+1=173

2x+1-1=173-1 (substract 1 from both sides)

2x=172 (divide 2 to both sides)

2x/2=172/2

x=86

x+1=87

Step-by-step explanation:

The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls

Answers

Answer: 1406.25

Step-by-step explanation:

The soccer field at a park is 9,000 square yards. The soccer field takes up 6 2/5 square inches on the map of the park. How many square yards does 1 square inch on the map represent? Show your work. Help me pls

Given that:

Area of soccer field = 9000 sq yards

Soccer field takes up 6 2/5 square inches on the map of park

Hence,

9000 yd² = 6 2/5 in²

Let 1 in² on map = m

9000 yd² = 32/5 in² - - - (1)

m = 1 in² - - - (2)

Cross multiply ;

6.4 * m = 9000

m = 9000/6.4

m = 1406.25

Hence,

1 in² on map = 1406.25 feet²

900

Which of the following quadratic equations has no real solutions?
A 3x2 + 12x + 12 = 0
B 3x2 – 3x - 18 = 0
3x2 + 2x + 1 = 0
D
3x2 – 3 = 0

Answers

Answer:

C. 3x^2 + 2x + 1

Step-by-step explanation:

A. 12^2 - (4*3*12) = 0 (there's one solution.)

B. (-3)^2 - (4*3*-18) = 255 (there're 2 real solutions.)

D. 3^2 - (4*0*-3) = 9 (there're 2 real solutions.)

C. 2^2 - (4*3*1) = -18 ✅✅

if b^2 - 4ac = negative then we can say that there isn't any real solution for the equation.

Please answer I promise I will mark you brainiest

Answers

Answer:

1. A=907.92

2. A=113.1

3. A=37.5

   P=35

4. A=234

   P= 75.6

Step-by-step explanation:

Answer:

DID YOU REALLY NEED TO ASK THIS!!!!!!!!!!!!

Step-by-step explanation:

find two numbers adding to 40 such that the sum of their square is as small as possible

Answers

Answer:

20+20

Step-by-step explanation:

20+20

***NOTE YOU GET 37 POINTS FOR ANSWERING QUESTION * A gallon of fresh squeezed orange juice at Piggly Wiggly Supermarket costs $2.70. Below are the costs of orange juice at other supermarkets. Which of the following has the same unit rate for orange juice as Piggly Wiggly? Select all that apply.
❏ Supermarket A: 2 gallons of orange juice for $5.40.
❏ Supermarket B: 2.25 gallons of orange juice for $6.30.
❏ Supermarket C: 1.25 gallons of orange juice for $3.38.
❏ Supermarket D: 1.5 gallons of orange juice for $4.43.
❏ Supermarket E: 0.75 gallons of orange juice for $2.03.

Answers

Answer:

the answers would be: A, C, and E

Step-by-step explanation:

Answer:

A,C,E Are the answers

Step-by-step explanation:

Its a,c,e because 5.40 divided by 2 gallons is 2.70. Its C because 3.38 divided by 1.25 gallons is 2.70. Its E because 2.03 divided by 0.75 is 2.70.

Find the gradient of the straight line joining A(-4, -1) to B(4, 2)​

Answers

Answer:

The slope of the line is  [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Given parameters:

                       A(-4, -1) to B(4, 2)​

Unknown:

The slope of the line joining the two points

Solution:

To find the slope of the line;  we use the expression below:

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]

x₁ = -4

y₁ = -1

x₂ = 4

y₂ = 2

Input the parameters and solve;

      Slope  = [tex]\frac{2 -(-1)}{4-(-4)}[/tex]

     Slope  = [tex]\frac{3}{8}[/tex]

The slope of the line is  [tex]\frac{3}{8}[/tex]

what is the answer to 8-5x=-37

Answers

Answer:

x=9

Step-by-step explanation:

Subtract 8 from both sides.

−5x=−37−8

Subtract 8 from −37 to get −45.

−5x=−45

Divide both sides by −5.

x= -45/-5

Divide −45 by −5 to get 9.

x=9

Answer:

9

Step-by-step explanation:

Step 1:

8 - 5x = - 37       Equation

Step 2:

8 = - 37 + 5x     Add 5x on both sides

Step 3:

45 = 5x      Add 37 on both sides

Step 4:

x = 45 ÷ 5     Divide

Answer:

x = 9

Hope This Helps :)

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