Write the word sentence as an inequality. Then solve the inequality.

Six times a number x is at least −24.

An inequality is
.

The solution of this inequality is
.

Answers

Answer 1

Answer:

The inequality is 6x ≥ -24

The solution of this inequality is {x : x ∈ R, x ≥ -4}[-4, ∞)

Step-by-step explanation:

In the inequality not more than means In the inequality at least means

Let us solve the question

∵ Six times a number x means 6 × x = 6x

∵ At least means

∴ Six times a number x is at least -24 is 6x ≥ -24

The inequality is 6x ≥ -24

Now we will find the solution of the inequality

6x ≥ -24

→ Divide both sides by 6

∵ [tex]\frac{6x}{6}[/tex] ≥ [tex]\frac{-24}{6}[/tex]

x ≥ -4

The solution of this inequality is {x : x ∈ R, x ≥ -4} ⇒ [-4, ∞)

Answer 2

Answer:

The inequality is 6x ≥ -24

The solution is x ≥ -4

Step-by-step explanation:

To solve this you have to divide both sides by 6, so 6 ÷ 6 cancels out and -24 ÷ 6 = -4

So, the solution is x ≥ -4


Related Questions

How we can differentiate between direct proportion and inverse proportion?

Answers

Answer:

Please check explanations for answer

Step-by-step explanation:

Here, we want to differentiate between inverse and direct proportion

Let x and y be two quantities

If they are directly proportional;

x/y = k

x = ky

where k is proportionality constant

If inversely;

xy = k

In verbal terms;

For direct proportionality, when one value increase, the other too does so and vice versa

For inverse, when one value inverse, the other decrease

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right angle. Yes. No.

Answers

Answer:

Yes

Step-by-step explanation:

3 , 4 & 5 are Pythagorean Triplet numbers. When lengths of a triangle's 3 sides are Pythagorean Triplet , the triangle is a right angled triangle.

The triangle will be a right angled triangle only when the hypotenuse will have length of 5 and other 2 sides will have length of either 3 or 4.

Answer:

[tex]\boxed {\boxed {\sf Yes, \ the \ side \ lengths \ 3, \ 4, \ and \ 5\ can \ make \ a \ right \ triangle}}[/tex]

Step-by-step explanation:

If the triangle is a right triangle, then the sides will check out in the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

1. Define Sides

The legs are the 2 shorter sides and the hypotenuse is the longest.

The sides given are 3, 4 (shorter), and 5 (longest). Therefore:

[tex]a=3 \\b=4 \\c=5[/tex]

2. Check the Sides in the Theorem

Substitute the values into the theorem.

[tex](3)^2+(4)^2=(5)^2[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction.

Solve all of the exponents first.

(3)² = 3*3= 9 (4)²= 4*4= 16

[tex]9+16=(5)^2[/tex]

(5)²= 5*5= 25

[tex]9+16=25[/tex]

Add the numbers on the left side of the equation.

[tex]25=25[/tex]

This is true. 25 is equal to 25, so this triangle can be a right triangle.

solve for x parallel lines ​

Answers

X will be equal to 20

I need help thank you

Answers

Answer:

C. none of the above

Step-by-step explanation:

-6 + 4q -6q

-2q - 6

Answer

C.

Step-by-step explanation:

sorry im late again

14 books in 2 boxes; 20 books in 3 boxes
O Yes, they are proportional
O No, they are not proportional

Answers

Answer:

No of course not

Step-by-step explanation:

14x2=24

20x3=60

At the store Brand P potato chips were $19.00 for 5 bags. Brand Q potato chips were $13.17 for 3 bags. Which brand has the cheaper price?

Answers

Answer:

Brand P has the cheaper price

Step-by-step explanation:

Brand P: $19.00 / 5 bags = $3.80 per bag

Brand Q: $13.17 / 3 bags = $4.39 per bag

Class A has 26 pupils and class B has 15 pupils.
Both classes sit the same maths test.
The mean score for class A is 33.
The mean score for both classes is 39.
What is the mean score (rounded to 1 DP) in the maths test for class B?

Answers

Answer:

Concept: Real World Analysis

So we know A has an average of 33We know A+B/2= 39Hence we will solve for b [tex] \frac{33 + x}{2} = 39[/tex][tex]x = 45[/tex]

Answer:

It's 49.4

Step-by-step explanation:

((26*33)+(15*x))/41=39

((858)+(15*x))/41=39 ‖*41

(858)+(15*x)=1599 ‖-858

15*x=741 ‖/15

x=49.4

Plz answer quickly will mark brainless

Answers

Answer:

She must read more than 5 hours

Step-by-step explanation:

equation 12h+10>70

12h>60

h>5

So she must read more than 5 hours

(can I get brainliest now)

Answer:

She must read more than 5 more hoursD.

12h+10=5

12x5=60+10=70 pages.

She reads 12 pages per hour, so if she read for 5 hours, she would have read 60 pages. She has already read 10 pages, so that would equal 70 Pages.

The graph of an exponential function is given. Which of the following is the correct equation of the function?

y = [tex]2.4^x[/tex]
y = [tex]0.31^x[/tex]
y = [tex]0.45^x[/tex]
y = [tex]1.8^x[/tex]

Answers

Answer:

[tex]y = 2.4^x \\ from \: intercepts \: using \: natural \: log( ln)[/tex]

Answer:

2.4

Step-by-step explanation:

A Large earthworm can travel 25 centimeter in 12 seconds. How many meters does the earthworm travels in1 minute?

Answers

We know that it can travel 25 centimetres in 12 seconds. First, we break down the minute into seconds.

60/12= 5

______________________________

Now, multiply 25 by 5.

25x5=125

__________________________________

With this knowledge, we just have to convert the centimetres, to meters.

_______________________________

Your answer is 1.25 meters :)

PLS HELP ITS DUE TODAY!!
If you have 75 Dollars, then number of nickels, y
- y = 75 ÷ 20
- y = 20 x 75
- y = 20 ÷ 75

Answers

Answer:

y=20x75 is the answer

Step-by-step explanation:

You can basically eliminate other two choices since they are division

What does 2x + 3x + 4x simlify to?

Answers

Answer:

9x does

Step-by-step explanation:

hope it helps

remind me if its wrong

Hello! Could you please help with these? It was due quite a long time ago. I have a D in this class and need to get my grades up.

Answers

Answer:

16. [tex]y=7x[/tex]

17. [tex]y=0.5x[/tex]

18. [tex]y=3x[/tex]

19. [tex]y=2x[/tex]

Step-by-step explanation:

Equation is [tex]y=kx[/tex] where k is a constant of proportionality.

16.

[tex]\frac{y}{x}=\frac{10.5}{1.5}=\frac{14}{2}=\frac{24.5}{3.5}=\frac{35}{5}=7[/tex]

So, equation is [tex]y=7x[/tex]

17.

[tex]\frac{y}{x}=\frac{1}{2}=\frac{2}{4}=\frac{2.5}{5}=\frac{3.5}{7}=\frac{1}{2}=0.5[/tex]

Equation is [tex]y=0.5x[/tex]

18.

[tex]\frac{y}{x}=\frac{6}{2}=\frac{9}{3}=\frac{15}{5}=\frac{18}{6}=3[/tex]

Equation is [tex]y=3x[/tex]

19.

[tex]\frac{y}{x}=\frac{4}{2}=\frac{8}{4}=\frac{14}{7}=\frac{18}{9}=2[/tex]

Equation is [tex]y=2x[/tex]

Cassandra has a loan of $35,720. This loan has a simple interest rate of 4% per year.
What is the amount of interest Cassandra will pay on this loan at the end of two years?
$2,857.60
$38,577.60
$1,428.80
$5,715.20

Answers

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Evaluate 18y when y
= 2/3

Answers

Answer:

12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

18y

y = 2/3

Step 2: Evaluate

Substitute in y:                    18(2/3)Multiply:                               12

Answer:

The answer (rounded) is 12.

Step-by-step explanation:

2/3=0.66666666666

18x0.666666666=11.999998 or 12

I know its a little confusing with the decimals but I can't solve problems with fractions, I have to convert them to decimals. XD

Find the value of f(-6).

Answers

Answer:

f(-6) = 5

Step-by-step explanation:

We want to find the value of the graph when x = -6

Go to where x = -6 and the y value is 5

f(-6) = 5

Answer: f(-6) = 5.

The number inside f(-6) is just x. So, use your finger to find -6 on the x-axis. Then, trace your finger in a vertical line to find where the function crosses where x = -6. This will be f(-6). We can see that this is 5.

Find the coordinates of the points of intersection of the parabola y=x^2+3x-4 and the line y=2x+2

Answers

You can set the y values equal to each other and solve the system:

x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2

So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:

y=2(-3)+2
y=-4

y2(2)+2
y=6

So the coordinates are (-3,-4) and 2,6).

Simplify the expression.

7y+6−1+12y =

Answers

Answer:

19+5

Step-by-step explanation:

7y+6-1+12y

Add common variables

19y+5

Can't be simplified any further without an answer to the equation

Hope this helps. Have a great day. May it be filled with joy and happiness

Answer:

24 x y2

Step-by-step explanation:

7+6=13

13-1=12

12+12=24

There is 2 Y's so you do y to the power of 2.

Evan is making fruit punch. He adds 3 scoops of fruit punch mix to a pitcher containing 5 cups of water. Evan wants to use a larger pitcher, and he does not want to change the flavor of his fruit punch.

How many scoops of fruit punch mix should Evan add to 15 cups of water?

Answers

9 scoops shhshshsjsjs

formula of pythagorean identity ​

Answers

I have this same question can you let me know when someone answers it?

Answer:

\sin ^{2} \theta+\cos ^{2} \theta=1

Step-by-step explanation:

In this multiplication problem every O stands for some odd digit and every E stands for some even digit. What is the product of the multiplication equal to?

Answers

Using multiplication rules, it is found that the product of the multiplication if an even digit.

What is the multiplication rule?

The rule is that a multiplication involving an even number will always result in an even number.

In this problem,two even numbers are multiplied, as they both finish with even digits, hence the result is also an even number, as evidenced by the fact that it finishes with an even digit.

You can learn more about multiplication rules of odd and even numbers at https://brainly.com/question/24657250

Ava solved the compound inequality+7<-1 or 2x-129 for all possible values of x. Which graph represents
the solution set?
30 -24 -18
06 12
30 -24 -18 -2 -6 0 6 12
36 -30 -24 -18 -12 -6 06 12
-36 -30 -24 -18 -12 -6 0 6 12

Answers

Answer:

D

Step-by-step explanation:

To get the graph, we will need to solve each inequality differently

For the first one, we have that

x/4 < -1-7

x/4 < -8

x < -8 * 4

x < -32

For the second side;

2x-1 ≥ 9

2x ≥ 10

x ≥ 5

So we have two arrows facing different directions

On the left should be unshaded while the right hand side should be shaded

So, the correct answer here is the 4th option

Good night, logging out !

Answers

Good night :). Sleep tight!

Simplify to create an equivalent expression.
2 – 4(5p + 1)

Answers

Answer:

A. -20p - 2

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

2 - 4(5p + 1)

Step 2: Simplify

Distribute -4:                    2 - 20p - 4Combine like terms:        -20p - 2

Answer:

Step-by-step explanation:

Apply the distributive property

2-20p-4

Simplify expression

-20p-2

Answer choice A is correct

in the following figures find the value of angle COD if angle abc is equal to 75 degree and a b is equal to CD​

Answers

Angle AOB is given as 75 degrees.

O is the center of the circle so AO and CO are the same length. AB and CD are the same length, so angle COD would be the same as AOB

COD = 75 degrees.

Answer:

75°

Step-by-step explanation:

It is given that:

AB and CD are chords of the circle which are equal. Equal chords subtends equal angles at the center of the circle. [tex] \because m\angle AOB = 75\degree [/tex] [tex] \therefore m\angle COD = 75\degree [/tex]

Alex helps his father milk cows on their dairy farm. They are paid $2.25
per gallon of milk, that they get from their cows. Together, Alex and his
father are able to milk 12 gallons over a 2-hour period. How much money
could Alex and his father expect to earn if they worked for 10 hours?
А
$22.50
B
$54.00
C
$135.00
D
$270.50

Answers

Choice C - 135 dollars

Jaysen helps his mom in gardening. The produce is sold in the market for $ 17 a bag . This year they sold 25 bags. Jaysen gets 35% of the money that is earned. How much will Jaysen earn

Answers

Answer:

Step-by-step explanation:

the money received for 25 bags:

17*25=425

Jaysen get 35%

425*(35/100)=148.75 dollars

Answer:

148,75 $

Step-by-step explanation:

17 × 25 = 425

425 × 0,35 = 148,75

PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT!!
find: x, y

Answers

Answer:

y=2

x=3

Step-by-step explanation:

I'm not sure, but considering that 3/2 = 1.5 I'm assuming that the rest is proportional as well. Therefore, making x=3 and y=2 (4/2=2 and 6/2=3)

Answer:

x = 3, y = 2

Step-by-step explanation:

the diagram shows two triangles that are similar (angle measures are equal and sides are proportional)

1.5 corresponds to 3; therefore, the ratio of sides is  1:2

'x' corresponds to 6  (x must be half of 6)

'y' corresponds to 4 (y must be half of4)

please answer this....................................

Answers

Answer:

Step-by-step explanation:

YET it was a rahi that had a chart of a rahi in her own words that 66inches the heights in cm and the same were all her friends hy 6AM 66inches ir and a great amount

what fraction equals to 4

Answers

Answer:

confusing wording... read below ( 12/3 )

Step-by-step explanation:

if you meant adding fractions then the other answer, but if i read it right then 12/3. 12 divided by 3 = 4

Other Questions
HOLA YO NECESITA AYUDA MUCHISIMO PORFAVOR! How many solutions exist for the given equation?1/2(x+12) = 4x - 1ZeroOneTwoInfinitely many Question 5 of 7 -Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear functionAmount Raised Where should a user store frequently used icons on a computer? Which best describes the economic problems facing South Carolina under the Articles of Confederation? A: Collapse of the rice cultureB: Debt and economic depressionC: Slave rebellions weakened the plantation systemsD: Another war with Great Britain over trade What did Booker T. Washington fight for please answer !write an equation in slope-intercept form when given the information:slope = 5, goes through the point (2 , 7) HELLLPAbigails supervisor asks for an iteration variable to be added to the program. Which of these lines of code will do that?count = count + 1variable = randomvariable = countcount + 1 = count What are the solutions of 15 5 2(4m + 7) What is 5 billion times 0 Work out the Value of the missing fraction 1/7+ ?=1/3 Imagine that you are a founding father, in charge of creating a new country. Your original form of government, the Articles of Confederation, is too weak. The government under the Articles of Confederation was helpless against Shays Rebellion in the state of Massachusetts. You have to create a new government that isnt too powerful, but also isnt too weak. What would you do? an 8 N weight is placed at one end of a meterstick. a 10N weight is placed at the other end. where should the fulcrum be placed to have the meterstick balanced? Fossil fuels, such as coal and oil, get their names because they form from fossilized organisms trapped under extremepressure and heat from the center of Earth. Explain how the model shows the requirements for fossil fuel formation. If you put an egg on a plate will it melt ?? Im confused Which word in the following sentence is an in direct objecr?For her birthday, Gary gave Margo flowers.A.birthdayB. herC.flowersD.Margo Find the area of square that has the same perimeter as a rectangle whose length and breadth are 18cm and 8cm respectively How are the media most influential during an election?A.The media decide which candidates and issues are most deserving of coverage.B.The media convince Americans to support and vote for certain candidates.C.The media provide equal access to each candidate running for office.D.The media help candidates raise money for their campaigns.Please select the best answer from the choices providedABCD Explain how to create an equation with infinity many solutions. The American Indian Movement occupied the South Dakota town of __________ in 1973 and engaged in battle with Federal Bureau of Investigation agents. A. Geronimo B. Wounded Knee C. Little Big Horn D. Grand Rapids Steam Workshop Downloader