What is the reason for each step in the solution of the inequality?

−2(x+3)−4>4x+30

Select the reason for each step from the drop-down menus.


−2(x+3)−4>4x+30 Given
−2x−6−4>4x+30
−2x−10>4x+30
−6x−10>30 Subtraction Property of Order
−6x>40
x<−203 Division Property of Order

Answers

Answer 1

The correct answers are:

Distributive property; subtraction; addition property of equality.

Explanation:

To get from the first step to the second step, the terms inside parentheses have been multiplied by -2.  The property that allows us to multiply through parentheses, or distribute through parentheses, is the distributive property.

To get from the second step to the third step, the -6 and 4 have been subtracted; this means the reason for this is subtraction.

To get from the fourth step to the fifth step, 10 has been added to each side.  The addition property of equality allows us to do this.

Answer 2

Inequalities help us to compare two unequal expressions. The given inequality can be solved as shown below.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequality can be solved as shown below.

−2(x+3)−4>4x+30 → Given

−2x−6−4>4x+30 → Solving the parenthesis using the distributive property

−2x−10>4x+30 → Subtract 4x from both the sides of the inequality, Subtraction property of order

−6x−10>30 → Subtraction Property of Order

−6x>40 → Division property of order

x<−203 → Division Property of Order

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Related Questions

Which of the following are true statements about David Hilbert

Answers

need to know what the options are

Final answer:

The student question doesn't correctly pertain to David Hilbert; thus, an answer specific to him is not provided. Instead, a brief description of Hilbert’s contributions to mathematics is outlined, showing a potential misunderstanding or typo in the original question.

Explanation:

The question does not directly relate to David Hilbert, hence answering the question as posed is not possible. David Hilbert was a renowned German mathematician known for his contributions to fields such as invariant theory, the calculus of variations, commutative algebra, and algebraic number theory. His work also had a profound influence on the foundations of mathematics, especially through the establishment of formalism as a philosophy of mathematics, and his famous list of 23 unsolved problems presented in 1900. Notably, Hilbert's name is often associated with the Hilbert's Program, which aimed to provide a complete and consistent set of axioms for all of mathematics, and the Hilbert space, which is a concept in functional analysis that provides a general framework for the mathematical formalism of quantum mechanics. Unfortunately, the information provided in the student question references several other philosophers and mathematicians, such as Harman, Dharmakīrti, Leibniz, Pierce, Hume, and Heisenberg, rather than focusing on Hilbert's life and work.

PLEASE HELP!!!!!
The table shows the outputs, y, for different inputs, x:
Input (x) 6 12 15 25
Output (y)14 15 15 16

Part A: Do the data in this table represent a function? Justify your answer.

Part B: Compare the data in the table with the relation f(x) = 7x − 15. Which relation has a greater value when x = 6?

Part C: Using the relation in Part B, what is the value of x if f(x) = 6?

Answers

Part A: Yes this is a function because there are no repeated x values. Each x value points to exactly one y output. You can graph each point and the graph will not fail the vertical line test.

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

Part B: Plug x = 6 into the f(x) function given to get
f(x) = 7x-15
f(6) = 7*6-15
f(6) = 42-15
f(6) = 27
Now compare this with the table. According to the table, when x = 6, the value of y is 14. So the f(x) value is larger than the table value when x = 6

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

Part C:

Replace f(x) with 6 and solve for x

f(x) = 7x-15
6 = 7x-15
6+15 = 7x-15+15
21 = 7x
7x = 21
7x/7 = 21/7
x = 3

So the final answer, for part C, is x = 3

50 tens x 4 hundreds = 40 tens x 5 hundreds

Answers

200,000 = 200,000 so the equation is true.
50 x .1 x 4 x .01 = .2
10 x .1 x 5 x .01 = .2

Solve the following system of equations by graphing. If the system is inconsistent or the equations are dependent say so.
7x-4y=3
21x-12y=9

Answers

-21x+12y=9
21x-12y=9

x=1
y=1

Round 12.5829 to the nearest tenth. Rounded number

Answers

Tenth is the first number after the decimal. In this equation, 5 is in tenth place but the number to the right is greater than 5, so the 5 rounds to 6. The answer is 12.6.

Answer:

12.5829=12.6

Because the 5 is the tenths place, and the 8 is greater than 5, so that would make the 5 go up to 6

How many cups will I need for 30 biscuits if there’s 2 cups for every 8 biscuits

Answers

divide 30/8 = 3.75

3.75 *2 = 7.5 cups

If there's 2 cups for every 8 biscuits (not try to be mean, but I really really hate biscuit) there will be 7.5 cups. First, you take 8 and divide it by 2 to find out how many biscuits that 1 cup needs, so 4 biscuits per cup. Last, all you have to do left is take 30 and divide it by 4, which will gives you 7.5. So, for 30 biscuits, you will need 7.5 cups, even though I don't know what cup is it (flour, sugar, salt, water,...).

Evaluate the expression 6x-x2 for x= 0, 1, 2, 3, 4, 5, and 6. Use your results to fill in the table. Describe any pattern that you see.

Answers

The values of the expression [tex]6x - x^2[/tex] are evaluated for x values from 0 to 6 and a symmetrical pattern around x = 3 is observed, with the expression value increasing up to x = 3 and then decreasing symmetrically.

The expression to evaluate is [tex]6x - x^2[/tex]. Let's plug in each value of x into the expression and see the result.

For x = 0: the expression becomes [tex]6(0) - (0)^2[/tex] = 0.For x = 1: the expression becomes [tex]6(1) - (1)^2[/tex]= 5.For x = 2: the expression becomes [tex]6(2) - (2)^2[/tex] = 8.For x = 3: the expression becomes [tex]6(3) - (3)^2[/tex] = 9.For x = 4: the expression becomes [tex]6(4) - (4)^2[/tex] = 8.For x = 5: the expression becomes [tex]6(5) - (5)^2[/tex] = 5.For x = 6: the expression becomes [tex]6(6) - (6)^2[/tex] = 0.

The pattern we can observe from filling the table is that the value of the expression increases until x = 3 and then decreases symmetrically.

At x = 0 and x = 6, the expression has a value of 0, creating a symmetry about the axis x = 3, which is the vertex of the parabola represented by the given quadratic expression.

Can I get some help! Show your work

Answers

First factorise the top and bottom of the fraction. We get:-

(k - 2)(k + 1)
-----------------
(k - 5)(k + 1)

(k+1) is common so cancels out:-

=   (k - 2)
    -------
    (k - 5)

The ANSWER IS D

Which is another way to write 9 tens 3ones? Write the numbers.

Answers

9 tens 3 ones = 93 <===
9 tens 3 ones can also be 93. 9 is in the tens place and 3 in the ones place.

what is 2/3, 66%, and 0.67 from greatest to least

Answers

66%, then 2/3, and lastly 0.67. 2/3 is repeating so it is more then 66% but less than 0.67

answer:
0.67, 2/3, 66%
work:
change all to decimals.
0.666666666667, 0.66 and 0.67.
-order from greatest to least 
0.67, 0.66666666667, 0.66
-convert back
0.67, 2/3, 66%
Hope this helps, have a great day! :D

Find the value of y in this equation: 16y = 164

Answers

16y=164
Divide both sides by 16
So y= 164/16
Your answer will be a fraction
The previous person who answered this is correct and y= 10.25 or 10 and 1/4

PLS HEEEEEEELP 20 POINtS
Evaluate |x + y|, for x = 8 and y = -15.

7

-7

23

-23

Answers

So first, we want to substitute all variables in.

|8 + -15|

Or,

|-7|

And the bars around it mean absolute value, or how far away it is from 0. In this case, it would be 7.

So your solution is 7.

Write the number 60 as a product of its prime factors in the same way. Write the factors in order, from smallest to largest

Answers

60 = 2 x 3 x 5 x 2


2 x 2 x 3 x 5 is your answer

hope this helps
60 = 2 x 3 x 5 x 2
2 x 2 x 3 x 5 will be your answer

Mario ordered a pizza for dinner when it arrived Mario ate 1/8 of the pizza his pet poodle ate 1/3 of the pizza what is the portion that has been eaten?

Answers

Mario ate 3/24 of the pizza, while his poodle ate 8/24 of the pizza

3 + 8 = 11

11/24 of the pizza has been eaten

hope this helps

plot the fraction 7/12 on the number line . is 7/12 closer to 0, 1/2 or 1 ?

Answers

It is closer to 1/2 because it is one more than half of 12. Understand?
Final answer:

To plot 7/12 on the number line, divide the line into equal parts and determine where 7/12 falls. 7/12 is closer to 1 than to 1/2 or 0.

Explanation:

Plotting a fraction, such as 7/12, on a number line involves breaking down the interval into equal parts and determining the position of the fraction within that range. In this case, the fraction 7/12 is being considered.

To understand where 7/12 falls on the number line, it's essential to consider both the numerator (7) and the denominator (12). When comparing fractions, having a larger denominator signifies smaller parts, while a larger numerator indicates more parts taken. In this context, the denominator 12 is greater than 2, suggesting that 1/2 is smaller than 7/12. Additionally, since the numerator 7 is smaller than 12, we can conclude that 1 is smaller than 7/12.

As a result of these comparisons, it becomes apparent that 7/12 is closer to 1 on the number line than it is to 1/2 or 0. This intuitive understanding of fraction placement on a number line helps in visualizing the relative sizes and positions of fractions, contributing to a deeper grasp of mathematical concepts and comparisons.

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in geotown, there are 210 own a tablet. This is at least 4/5 of all teenagers that live in geotown. What is the maximum number of teenagers who live geo town

Answers

210 = 4/5 (This means that 4 out of five people (210 people) are a teenager)

Then you divide 210 by the numerator to get 1/5 people:
210 / 4 = 52.5

Then you can multiply the 1/5 people (52.5) by 5 to get 5/5:
52.5 * 5 =  262.5 (rounded to 262)

Thus the maximum amount of teenagers in Geotown is 262.

Hope this helps! :)
Final answer:

The maximum number of teenagers who live in Geotown can be found by solving an equation using the given information that 210 teenagers own a tablet, which is at least 4/5 of all teenagers in Geotown.

Explanation:

We are given that 210 teenagers own a tablet, and this number is at least 4/5 of all teenagers in Geotown. Let's represent the total number of teenagers in Geotown as 'x'. According to the given information, 4/5 of x is equal to 210. We can set up the equation (4/5)x = 210 and solve for x.

To solve for x, we can multiply both sides of the equation by the reciprocal of 4/5, which is 5/4. This gives us x = (5/4) × 210 = 262.5. However, since the number of teenagers must be a whole number, we round down to the nearest whole number and conclude that the maximum number of teenagers who live in Geotown is 262.

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Lila graph the points -2 and 2 on a number line. What does the distance between these two points represent?

Answers

the distance represents a 4 unit space it would be 4 and not 0 because you add the absolute value

if this really helped mark me as brainliest ^-^

4 units is  the distance between these two points represent

What is Number system?

A number system is defined as a system of writing to express numbers.

Number line is a picture of a graduated straight line that serves as visual representation of the real numbers.

Let the x point is at minus two and y is at two

The distance will be always positive

As we count the number of humps for each unit we get four.

So the distance is 4 units.

The distance between two points is the length of the line joining the two points

|-2-2|=4

Hence, 4 units is  the distance between these two points represent

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4(-8x+5)=-32x-26

Solve show work

Answers

4(-8x + 5) = -32x - 26
-32x + 20 = -32x - 26

-32x +32x = -20 - 26

0 = -46

unsolvable

hope this helps

Sarah mailed her computer to Store B for repairs. Her bill was: Total Cost of Computer Repair = $1,444.50 Shipping = 2 percent of Total Cost If Sarah wanted to include a 15 percent gratuity, based on the total cost of the computer repair, excluding shipping, how would you find her new total cost?

Answers

Answer:

The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.

Step-by-step explanation:

Endogeneity answers

Final answer:

The new total cost Sarah has to pay, including the 15% gratuity is $1690.07. This is calculated by adding her repair cost, shipping fee, and gratuity together.

Explanation:

The total cost that Sarah has to pay can be calculated by adding up the cost of computer repair, the cost of shipping, and the gratuity she wants to include. The cost of shipping is 2 percent of the total cost of computer repair, so it would be $1,444.50 * 0.02 = $28.89. The gratuity Sarah wants to pay is 15 percent of the total cost of the computer repair (excluding the cost of shipping) which is $1,444.50 * 0.15 = $216.68.

Adding all these together: $1444.50 (Cost of Repair) + $28.89 (Shipping) + $216.68 (Gratuity) gives us a total cost of $1690.07. This will be the new total cost Sarah has to pay.

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Two youth groups participated in a three-week recycling project. Group A collected 15.49 pounds during week 1, 20.82 lb during week 2, and 22.91 pounds during week 3. Group B collected three times as much as Group A. Enter the total amount that Group B collected.

Answers

3(15.49 + 20.82 + 22.91)
3(59.22) =
177.66 <=== what group collected

The total amount that Group B collected 177.66 pounds.

Given that, group A collected 15.49 pounds during week 1, 20.82 lb during week 2, and 22.91 pounds during week 3.

How to add the decimals?

To add two decimal numbers, first check if they have the same number of digits to the right of the decimal point. If they don't, add zeros to the right of one of the numbers until they do. Then, write one number on top of the other, lining up the decimal points vertically.

Now, add the quantity of recycling material collected during three week.

That is, 15.49 + 20.82 + 22.91 = 59.22

Given that, group B collected three times as much as Group A.

So, 3 × 59.22 = 177.66

Therefore, the total amount that Group B collected 177.66 pounds.

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Order the numbers from least to greatest. 95,−2.5,−1.1,−45, 0.8

Answers

The order of numbers from least to greatest is -45, -2.5, -1.1, 0.8, 95.

The given set of number are 95, −2.5, −1.1, −45, 0.8.

What are ascending and descending order of numbers?

Ascending order is a way to arrange numbers from smallest to largest.

Descending order is a way to arrange numbers from largest to smallest.

Arranging the numbers from least to greatest means writing the numbers in an ordered list according to their values. The smallest number should be written on the left, with the next smallest number written to its immediate right.

Now, -45<-2.5<-1.1<0.8<95

So, the order is -45, -2.5, -1.1, 0.8, 95

Therefore, the order of numbers from least to greatest is -45, -2.5, -1.1, 0.8, 95.

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Final answer:

The numbers in ascending order are: -45, -2.5, -1.1, 0.8, 95.

Explanation:

To order the numbers from least to greatest, you compare their values. Starting with the smallest number, you can arrange the numbers in ascending order.

The numbers in ascending order are: -45, -2.5, -1.1, 0.8, 95.

579/3 579 divides by 3

Answers

The answer to the question is 193

if you're asking what 579 divides by 3 is, then the answer is 193.

A pet shop manager wants the same number of birds in each cage. He wants to use as few as cages as possible , but can only have one type of bird in each cage. If he has 42 parakeets and 18 canaries , how many birds will he put in each cage?

Answers

He would use 3 cages for the canaries (6 in each) and 6 cages for the parakeets (7 in each)

Answer: There are 7 parakeets and 3 canaries in each cage.

Step-by-step explanation:

Since we have given that

Number of parakeets = 42

Number of canaries = 18

According to question, he wants to use as few as cages as possible , but can only have one type of bird in each cage.

So, H.C.F. of 42 and 18 = 6

So, Number of cages would be 6.

Number of parakeets would be

[tex]\dfrac{42}{6}=7[/tex]

Number of canaries would be

[tex]\dfrac{18}{6}=3[/tex]

Hence, there are 7 parakeets and 3 canaries in each cage.

12y+d=-19y+t what is the solution for y?

Answers

have a great day! it should be 


Without values for the other variables, I assume you're asking for a literal equation.

12y+d=-19y+t
31y+d=t
31y=-d+t
y=(-d+t)/31
Get y by itself
+19y to 12y
31y+d=t
-d
31y=t-d
Divide 31 to get y by itself
Y=t/31-d/31
I THINK

The expression 53(1+x) represents the total cost of a meal including the tip. What do the different parts of the expression represent? Drag the parts of the expression into the boxes to match each description. cost of meal tip percentage

Answers

Given that the expression 53(1+x) represents the total cost of a meal including the tip.

53 in the expression repressent the cost of meal while x represent the tip percentage.

The correct answers are:

53 is the cost of the meal and x is the tip percentage.

Explanation:

When we add a tip to the total cost of a meal, we pay 100% of the cost of the meal plus an additional amount.  In decimal form, this gives us 1 + the decimal for the tip percent.  This is the (1+x) in this expression.

We multiply this (1+x) by the cost of the meal.  This means that in this case, 53 is the cost of the meal.



Is 25 a perfect cube?

Answers

no,it is a perfect square
no it's not a perfect cube

A large bag contains 12/15 pound of granola how many 1/3 pound bags can be filled with this amount of granola how much granola is left over

Answers

TO get the number of bags, we simply get the quotient, that is:

(12 / 15 pounds) / (1 / 3 pounds) = 2.4 bags

 

Since bags cannot be decimal, so it can only fill 2 bags. The left over is 0.4 or:

0.4 * (1/3) = (2/5) * (1/3) = 2/15 pounds

 

Answer:

2 bags filled, left over is 2/15 pounds of granola

Answer:  2 bags can be filled and [tex]\dfrac{2}{5}[/tex] pound of granola will be left over.

Step-by-step explanation:

Given : A large bag contains [tex]\dfrac{12}{15}[/tex] pound of granola.

The number of bags can be filled with [tex]\dfrac{1}{3}[/tex] pound of granola in each bag will be :-

[tex]\dfrac{12}{15}\div\dfrac{1}{3}\\\\=\dfrac{12}{15}\times\dfrac{3}{1}=\dfrac{12}{5}\\\\=2\dfrac{2}{5}[/tex]

Thus, the number of bags = 2

The amount  of granola left=[tex]\dfrac{2}{5}[/tex] pound

Rita earned 20 points on a quiz. She lost 5 points for poor penmanship , then earned 10 points of extra credit. What’s Rita’s final score on the quiz?

Answers

20 - 5 is her score after losing points:

15

Now, 15 + 10 is her score after her extra points.

25 points

Hope this helps!
First, let's subtract.
If Rita earned 20 points on the quiz, and then lost 5 for poor penmanship the equation will look like 20 - 5 = 15.
Then, if she earned 10 points for extra credit, we add 15 and 10 to get 25.

20 - 5 + 10 is what the equation should be.

Ayesha bought a 24-pack of lip gloss for $17.04. What is the unit cost per tube of lip gloss?
A.
$0.71
B.
$8.52
C.
$2.84
D.
$1.42

Answers

C...................................................................................................................................
You divide 17.04 by 24 and you get 0.71

jordan bought 12 tennis balls and annika bought 16. the tennis balls come in packages. each package has the same number. what is the greatest possible number of tennis balls in each package

Answers

It would be 4 because it is the highest number that can go into 12 and 16.

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