3. The difference of two-thirds of a number x and
6 is at least -24. Which inequality represents all
possible values for x?

3. The Difference Of Two-thirds Of A Number X And6 Is At Least -24. Which Inequality Represents Allpossible

Answers

Answer 1
2/3x+ _< -24 then 2/3x _< -30 then 1/3x _< -15 so x >_ -45
Answer 2

The inequality that represents all possible values for x is  x ≥ -27.

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given statement can be written in terms of inequality as,

2/3x - 6 ≥ -24

=> 2/3x  ≥ -24 + 6

=> 2/3x  ≥ -18

=> x ≥ -27

Hence, the inequality expression for the given problem can be written as x ≥ -27.

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Related Questions

what is the equation of the line that passes through the point(-5,-4) and has a slope of -3/5?

Answers

Answer:

y= mx+c

-4= -3/5(-5) + c

-4= -3/5 *-5+ c

-4=3+c

-4-3=c

-7=c

therefore the equation of the line is y=-3/5x-7

Step-by-step explanation:

the equation of a line is

y=mx +c

where y is the y coordinate

where m is the slope

where x is the x coordinate

where c is the y- intercept

Solve each division problem, and classify it based on its quotient.

Answers

Answer:we are not your servers to that i should solve this problems

Step-by-step explanation:

Answer:

I have no idea? the first is 11 the second is 5 the three is 11 again the last 2 are 1

Step-by-step explanation:

Help right now, 12/5 into a mixed number and 21/9

Answers

12/5 (2 2/5)
21/9 (2 3/9) (2 1/3 if simplified!) should be your correct answers if I’m not mistaken! Hope this helps!

in a class of 80 students 3/4 study biology and 3/5 study physics. if each student studies at least one of the subjects. (1) Draw a venn diagram to represent this information. (2) how many students study both subjects (3) find the fraction of the class that study Biology but not physics​

Answers

According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.

Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:

Biology: 80 x 3/4 = X 80 x 0.75 = X 60 = X

Physics: 80 x 3/5 = X 80 x 0.60 = X 48 = X

60 + 48 - 80 = X 108 - 80 = X 28 = X

Therefore, 28 students study both subjects.

68 - 28 = 40 80 = 1 40 = 1/2

Therefore, 1/2 of the class studies biology but not physics.

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Prove that:
[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]
Please solve this problem because tomorrow is my maths exam.​

Answers

Explanation:

On taking LHS

Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]

We know that

π = 180°

2π = 2×180° = 360°

3π/2 = (3×180°)/2 = 540°/2 = 270°

Now

LHS becomes

Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]

We know that

Cos (270°+θ) = Sin θ

Cos (360°+θ) = Cos θ

Cot (270°-θ) = Tan θ

Cot (360°+θ) = Cot θ

→ Sin θ Cos θ [Tan θ + Cot θ]

→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]

→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]

→ Sin θ Cos θ [1/(Sin θ Cos θ)]

Since Sin²θ+Cos²θ = 1

→ (Sin θ Cos θ)/(Sin θ Cos θ)

→ 1

→ RHS

→ LHS = RHS

Hence, Proved.

Here are the formulae that I have used:

→ π = 180°

→ Cos (270°+θ) = Sin θ

→ Cos (360°+θ) = Cos θ

→ Cot (270°-θ) = Tan θ

→ Cot (360°+θ) = Cot θ

Here are the Trigonometric Identities that I have used:

→ Sin²θ+Cos²θ = 1

If x-1/x=3, find the value of x^2+1/x^2
please show steps too…

Answers

Answer:

5

Step-by-step explanation:

x=-1/2

Please Answer correctly

Answers

Answer:

I Think 2.

Step-by-step explanation:

If im correct pls give brainliest im tired thx! :D

[tex]\huge\fbox\orange{A} \huge\fbox\red{N}\huge\fbox\blue{S}\huge\fbox\green{W}\huge\fbox\gray{E}\huge\fbox\purple{R}[/tex]

[tex]\huge\underline\mathsf\colorbox{white}{2}[/tex]

[tex]\huge\underline\mathtt\colorbox{cyan}{I'm Sure}[/tex]

[tex]\huge\mathsf\colorbox{white}{}[/tex]

describe system of linear equations using practical situation and mathematical expressions

pahelp pooo​

Answers

Answer:

A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.

please help if you dont know dont answer!!!​

Answers

Answer:

(6,3), (10,5),(14,7)

Step-by-step explanation:

6/3 = 2

10/5 = 2

14/7 = 2

Evaluate for a:

69 = 13 - 7/12a

Answers

Answer:

-96

Step-by-step explanation:

69-13=13-7/12a-13

56=-7/12a

56 times 12=-7/12 times 12

672=-7a

Move negative over

-672=7a

-672/7=a

a=-96

a
=
670
rounded to the nearest 10
b
=
72.7
rounded to 1 DP
Find the minimum (to 2 DP) of
a
÷
b

Answers

Answer:9.22

First, 670 rounded to the nearest ten is:

670

Second, 72.7 rounded to 1DP is:

well, 72.7

a÷b is:

9.2159

9.22 (2 DP)

A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?

Answers

The density of the gold sample is 19.3g/cm³

Let the mass of the gold sample be represented by m

m = 579 g

Let the volume of the gold sample be represented by V

V = 30 cm³

Let the density of the gold sample be represented by ρ

The formula for the density is:

[tex]Density = \frac{Mass}{Volume}[/tex]

[tex]\rho = \frac{m}{V} \\\rho = \frac{579}{30} \\\rho = 19.3 g/cm^3[/tex]

The density of the gold sample is 19.3g/cm³

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Please answer for last question

Answers

Step-by-step explanation:

since you know already that it is a linear equation with a constant change rate (slope), you don't know the equation itself yet ?

you found the change rate (slope).

it is x goes up by 2, and y goes down by 6.

the slope is the ratio y/x representing the y and x changes, and it is always the factor of x.

"down" or "left" means "-","up" or "right" means "+".

the slope here is therefore

-6/2 = -3/1 = -3

so, we know the line function looks like

y = -3x + b

to get b we use one of the x y pairs like (1. 4)

4 = -3×1 + b

7 = b

and the full line function is

y = -3x + 7

helppppppppppppppppppppppppppppppppppppppppppp sorry for that

Answers

Answer:

a)2 * 2 = 4

b)2 * 3/2 = 3

c) 20 * 3/2 = 30

d) 100 * 8/5 = 160

e)473*1/100=4.73

f)111*1/100=1.11

Answer:

answers are written

Step-by-step explanation:

2xx671.0

You collect a total of $75 in donations from three people. The three donations are in the ratio 4 : 4 : 7.

Answers

Answer:

20 20 35

Step-by-step explanation:

4+4+7 then divide by 75 whatever answer you get multiplyy by the 4 or the other 4 or the 7

Mrs. Larsen wants to get some markers for her class. She notices that they come in boxes of
8.
Write an equation that shows how the total number of markers Mrs. Larsen gets, y, depends
on the number of boxes she buys,X.
y =


(i’ll crown brainliest to whoever answers first, i don’t need the explanation just the answer and how i’m supposed to write it out)

Answers

Answer:

y=8x

Step-by-step explanation:

hubsdgvgcsvya

The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Larsen wants to get some markers for her class.

She notices that they come in boxes of 8.

Now,

Let total number of markers = y

And, Number of boxes = x

Here, She notices that they come in boxes of 8.

So, We can formulate;

⇒ y = 8x

Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

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Heba ate 1/12 of a box of cereal. Now the box is 3/4 full
What fraction of a full box was there before Heba ate?

Answers

Answer:

5/6

Step-by-step explanation:

1/12 + 3/4 = 9/12

9/12 + 1/12 = 10/12

simplify 10/12

= 5/6

Heres the answer
Hope it helps

Just give me an answer please

Answers

Answer:

Step-by-step explanation:

option 2, gl

Answer:

A and C

Step-by-step explanation:

Ms. Howard buys a car for $500 and adds a music system that costs $200. Then she adds a set of seat covers for the price shown.

A photo of two seat covers is shown. A price tag reads, Sale, fifty dollars.

Answers

Answer:

$750 that is the answer if you add them all up

Tell whether the ordered pair (2, 5) is a solution of the system of linear equations.

x + y = 7

2x – 3y = -11

Answers

Yes it is because you replace the 2 for the x and the 5 for the y.
2+5=7
7=7
2(2)-3(5)=-11
4-15=11
-11=-11

please if you can i urgently need help thank you very much

Answers

Answer:

1/4

Step-by-step explanation:

2^7/2^9 = 1/2^2

1 4/5 x 7 1/5 help mee

Answers

Answer:     355/70? correct me if im wrong :-)

Step-by-step explanation:

Can you guys tell me the answer to this question?

Answers

Answer:

I get the answer 52°......................

Which of the following best represents the solution to this system (3x+2y<2

Answers

Answer:

y < (2 - 3x)/2.

Step-by-step explanation:

(3x+2y)<2

2y < 2 - 3x

y < (2 - 3x)/2



Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long.
When does her lesson end

Answers

Answer:

The lesson ends at 5:15 pm.

Answer:

Her piano lesson ends at 5:15pm

Hope it helps:)

CAN SOMEONE PLZ HELP WITH 6 I WILL MARK YOU BRAINLIEST!!!!!

Answers

Answer: I dont see anything....

Step-by-step explanation:

5/8-(1/4) to the power of 2

Answers

Answer:

[tex]\frac{9}{16}[/tex]

Step-by-step explanation:

[tex]\frac{5}{8}[/tex] - [tex](\frac{1}{4}) ^{2}[/tex]

= [tex]\frac{5}{8}[/tex] - [tex]\frac{1}{16}[/tex]

= [tex]\frac{10}{16}[/tex] - [tex]\frac{1}{16}[/tex]

= [tex]\frac{9}{16}[/tex]

Rewrite the following equation in slope-intercept form.7x − 15y = –18

Answers

Answer:

Y = 7/15x + 6/5

Step-by-step explanation:

7x - 15y = -18

7x = 15y - 18

7x + 18 = 15y

7/15x + 6/5 = y

Hope this helps! Pls give brainliest!

Answer:  y =  ⁷/₁₅ x + ⁶/₅

Step-by-step explanation:

We can convert the line 7x − 15y = –18 into slope-intercept form (y = mx + c) by making y the subject of the equation

       7x - 15y = - 18

        7x + 18 = 15y

  ⁷/₁₅ x + ¹⁸/₁₅ = y

∴ the slope-intercept form of 7x − 15y = –18 is y =  ⁷/₁₅ x + ⁶/₅

       

given that m 2 = 56 in the diagram what is m 8
A 134
B 66
C 124
D 56​

Answers

The answer is:
Letter B

What is the greatest common factor of 8m2, 4m, and 10m4?

Answers

Answer:

2m²

Step-by-step explanation:

Apply the prime factorization method: 2³m², 2 · 5m⁴

Find the greatest common divisor: 2m²

Answer: 2m²

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