Solve the inequality: 4(2x-11) is less than equal to -12 + 2(x-4) No "files" please and also need an explanation

Answers

Answer 1

[tex]4(2x-11) \leq -12 +2(x-4)\\\\\implies 8x - 44 \leq -12 + 2x -8\\\\\implies 8x -44 \leq 2x -20\\\\\implies 4x - 22 \leq x - 10~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 2}]\\\\\implies 4x -22 +22 \leq x -10 +22~~~~~~;[\text{Adding 22 to both sides}]\\\\\implies 4x \leq x+12\\\\\implies 4x -x \leq x+12-x~~~~~~~~~~~~~~~~;[\text{Subtracting x from both sides}]\\\\\implies 3x \leq 12\\\\\implies x \leq 4 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\text{Dividing both sides by 3}][/tex]

[tex]\text{Interval solution,} ~(-\infty, 4][/tex]


Related Questions

Help? If im given the option ill give you brainliest!

Answers

Answer:

Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.

Step-by-step explanation:

5x10^6 is how many times greater than 5x10^4

Answers

Answer:

By 100 times.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

5x10^6= 5000000  

5x10^4= 50000  

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)


Question: 5x10^6 is how many times greater than 5x10^4
Answer:

these are the last 2 I need

Answers

Answer:

A and A

Step-by-step explanation:

The sum of Alyssa's age and her sister's age is 48 years. Alyssa's age is 6 years less than twice her sister's age. What is Alyssa's age, and what is her sister's age?​

Answers

Answer:

Alyssa's Sister = 18, Alyssa = 30

Step-by-step explanation:

48 = 2x-6 + x

54 = 2x + x

54 = 3x

18 = x

2(18) - 6

36 - 6

30

48 = 2(18) - 6 + 18

48 = 36 - 6 + 18

48 = 30 + 18

48 = 48

3x + y =4 in standard form

Answers

Answer:

3x+y=4

Explanation:

Standard form is Ax + By = C

want to check my answer​

Answers

Answer:

Yes. The answer is good 3x+1

Looks good! I think it good

The ratio of three numbers is 4 : 1 : 7. The sum of the numbers is 24. What are the three numbers?

Answers

Answer:

8, 2, 14

Step-by-step explanation:

sum the parts of the ratio, 4 + 1 + 7 = 12 parts , then

24 ÷ 12 = 2 ← value of 1 part of the ratio, then

4 parts = 4 × 2 = 8

7 parts = 7 × 2 = 14

The 3 numbers are 8, 2, 14

Find the domain of function F defined by
F(x) =1/√|x-1|

Answers

Answer:

Therefore, |x-1|>0

=> (x-1)>0 or - (x-1)>0

=> x > 1 or x < 1

=> (- infinity, 1) U (1, infinity)

List the angles of A KLM with vertices
K(-2,-2), L(2, 6), M(7, -2) in order
from smallest to largest.

Answers

The required angles from smallest to largest are m<M < m<L < m<K

Given the coordinate of the triangle KLM given as K(-2,-2), L(2, 6), M(7, -2)

The angle opposite the side KL is m<MThe angle opposite the side KM is m<LThe angle opposite the side LM is m<K

Get the measure of KL, KM and LM using the distance formula as shown:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y)_1)^2}[/tex]

For the length KL with coordinate points K(-2,-2), L(2, 6)

[tex]KL=\sqrt{(2-(-2))^2+(6-(-2))^2}\\KL=\sqrt{4^2+8^2}\\KL=\sqrt{16+64}\\KL=\sqrt{80}\\KL =4\sqrt{5}[/tex]

For the length KM with coordinate points K(-2,-2), M(7, -2)

[tex]KM=\sqrt{(7-(-2))^2+(-2-(-2))^2}\\KM=\sqrt{9^2+0^2}\\KM=\sqrt{81}\\KM=9[/tex]

The length LM with coordinate points L(2,6), M(7, -2)

[tex]LM=\sqrt{(7--2)^2+(-2-6)^2}\\LM=\sqrt{5^2+(-8)^2}\\LM=\sqrt{25+64}\\LM=\sqrt{89}[/tex]

From the distances, we can see that side LM > KM > KL. Hence the required angles from smallest to largest are m<M < m<L < m<K

Learn more on distances between two points here: https://brainly.com/question/23848540

Find e and d
3e+d=8
2e+d=8​

Answers

Answer:

Step-by-step explanation:

3e+d=8
2e+d=8
Multiply the second equation by -1
You get
-3e-d=-8
Use eliminating methods
-3e-d=-8
2e+d=8
We get
-e=0
So e=0
Find e by substitute it in one of the equation
2*0+d=8
D
d=8

A store manager is marking down microscopes from $1,000 to $620. What is the discount, as
a percentage?

Answers

Your answer will be 38%, because you think of 100$ being as 100% and 620$ as being 62% and subtract 100-62= 38% it doesn’t work all the time but for this specific one it will, hope this helps.

PLEASE HELP

Timmy has a collection of 95 coins consisting of
dimes and nickels in his piggy bank. The total value of his
bank is $6.50. How many dimes are in his collection? How
many
nickels are in the collection?


Answers

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d  - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

What is the volume of 4 19 31 10 62

Answers

Answer: 1460720

To find volume just multiply them all-

4*19*31*10*62

1460720 ( i am not sure if those are the numbers you meant)

Lorinda can walk 1.8 miles in 30 minutes.

Which proportion can be used to find how many miles she can walk in 45 minutes?

Answers

Answer:

B. (1.8)/(30) = (x)/(45)

I desperately need help !

Answers

Answer:

t = 9.57

Step-by-step explanation:

We can use trig functions to solve for the t

Recall the 3 main trig ratios

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent.

( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )

We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"

When dealing with the opposite and adjacent we use trig ratio tan.

Tan = opp / adj

angle measure = 62 , opposite side length = 18 and adjacent = t

Tan(62) = 18/t

we now solve for t

Tan(62) = 18/t

multiply both sides by t

Tan(62)t = 18

divide both sides by tan(62)

t = 18/tan(62)

t = 9.57

And we are done!

T= 9.57 do the math it’s not hard

what is greater -5 1/2 or -6.5

Answers

Answer:

-5 1/2

Step-by-step explanation:

-5 1/2=-5.5 which is closer to 0

Hey there!

GUIDE:

> is greater than

• is the GREATER THAN the other number

< is less than

• your number is LESS THAN the other number

≥ is greater than or equal to

• it means that either a number is greater or equal to the other number

≤ Is less than or equal to

• it means that either a number is less or equal to the other number

= is equal

• it means that it is equal to the other number

SOLVING FOR YOUR ANSWER!

-5 1/2 __?__ -6.5

-5 1/2

= -5 * 2 + 1 / 2

= -10 + 1 / 2

= -11 / 2

= -5.5

= -5.5 > -6.5

Therefore, your answer should be:

-5 1/2 > -6.5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

720 inches per second to miles per minute

Answers

Answer:

0.681818 miles per min

Step-by-step explanation:

Alguien me dice que debo hacer aqui porfavor es para un examen

Answers

Answer:

Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.

Step-by-step explanation:

What value of x would make △PQR~△MNL?

Answers

Answer:

The answer would be 16 bc 12/18=0.6 and 16/24=0.6 so divide 10/0.6 and it gives you 16

Step-by-step explanation:

mr.wilson drives 450 miles in 7 hours. at this rate about how many miles does he drive in 6 hours????
A.) 101
B.) 254
C.) 340
D.) 386

Answers

Answer:

D

Step-by-step explanation:

Divide distance he drives by 7 to find hourly rate, then multiply this by 6

450 miles ÷ 7 ≈ 64.29

Then

6 × 64.29 = 385.74 ≈ 386 miles

My question is in the attachment.

Answers

Answer:

5 and 25

Step-by-step explanation:

let the son's age be x then the father's age is x + 20

In 5 years

son = x + 5 and father = x + 20 + 5 = x + 25

Then

x + 25 = 3(x + 5) ← father is three times as old as son

x + 25 = 3x + 15 ( subtract x from both sides )

25 = 2x + 15 ( subtract 15 from both sides )

10 = 2x ( divide both sides by 2 )

5 = x and x + 20 = 5 + 20 = 25

si=on is 5 and father is 25

Answer:

The son is 5 and the father is 25.

Step-by-step explanation:

We can do this using  Algebra.

Let the son be x years old.

Then the father's age is x + 20 years.

After 5 years the father's age is x + 25 and the son is x + 5 years.

So we can write the equation:

x + 25 = 3(x + 5)

x + 25 = 3x + 15

25 - 15 = 3x - x

10 = 2x

x = 5.

So the father's present age is 20 + 5 = 25 and the son is 5 years old.

For all values of x, which expression is equivalent to (3x + 2) + 2(3x + 2)?
es)
A)
6x + 4
B)
6x + 6
C)
9x + 4
D)
9x + 6
o
(MAFS.6

Answers

Answer:

[tex]9x+6[/tex]

Step-by-step explanation:

[tex]\left(3x+2\right)+2\left(3x+2\right)[/tex]

[tex]x+2+2\left(3x+2\right)[/tex]

[tex]3x+2+6x+4[/tex]

[tex]9x+6[/tex]

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(3x + 2) + 2(3x + 2)[/tex]

[tex](3x + 2) +[(2 \times 3x) +( 2 \times 2)][/tex]

[tex] \sf3x + 2 + 6x + 4[/tex]

[tex] \sf3 x + 6x + 2 + 4[/tex]

[tex] \sf9x + 6[/tex]

A motorcycle can travel 60 miles per gallon. Approximately how many gallons of fuel will the motorcycle need to travel 40 km? [1 mile = 1. 6 km] 0. 04 0. 08 0. 20 0. 42.

Answers

The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

Given that,

A motorcycle can travel 60 miles per gallon.

We have to find,

How many gallons of fuel will the motorcycle need to travel 40 km?

According to the question,

The motorcycle travel 60 miles per gallon,

The motorcycle travels 40 km,

To convert it into kilometers 60 miles per gallon.

[tex]\rm 1 \ mile = 1.6\ k.m.\\\\60 \ miles \times 1.6 \ k.m. = 96 \ k.m.[/tex]

Therefore,

The gallons of fuel will the motorcycle need to travel 40 km is,

[tex]= \dfrac{96}{40}\\\\= 0.42[/tex]

Hence, The motorcycle needs to travel 40 km, 0.42 gallons of fuel.

For more details refer to the link given below.

https://brainly.com/question/13108874

I need help with this question

Answers

Answer:

30.75 hours.

hope it helps, so may i have my brainliest?

Step-by-step explanation:

20.5 * 1.5 = 30.75

How do I do that I need desperat help pls

Answers

9 because 12 + is greater than/equal to 9+3

I need to know this give me answer

Answers

Answer:the answer is b 10/21

Step-by-step explanation:

Answer:

B) 10/21

Step-by-step explanation:

Keep, change, flip

keep 2/7, change to multiply, flip to 5/3

2/7 x 5/3 = 10/21

Hope this helps! Pls give brainliest!

if f (x)=x^2-x-1, then f(-5)=

Answers

[tex]\text{Given that,}\\\\f(x) = x^2-x -1\\\\f(-5) = (-5)^2 -(-5) -1 = 25 +5 -1 = 29[/tex]

Substitute -5 for x
f(-5) = -5^ 2 - (-5) - 1
= 25 + 5 - 1
=29
Hope this helps!

Best answer gets brainiest! (plz help me!)
what is the circumference and the mass of Jupiter and Saturn combined? (both the circumference and mass)

Answers

Answer:

Total Circumference = 514, 170 miles

Total Mass = 2, 467, 000, 000, 000 metric tons

Step-by-step explanation:

hope this helps

Answer:

378,675 km (Saturn) + 449,197 km (Jupiter) = 827, 872 km (514,416 mi)

5.683 × 10^26 kg (Saturn) + 1.898 × 10^ kg (Jupiter) =568300000000000000000000018.98 kg (5.683 × 10^26)

Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.

Answers

The amount that should deposit monthly is $164.98

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)

Substitute the given values into the formula to have:

[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]

Hence the amount of money they started with is $19,524.89.

Amount to deposit monthly = 19,524.89/120

Amount to deposit monthly = $164.98

Hence the amount that should deposit monthly is $164.98

Learn more on compound interest here: https://brainly.com/question/24274034

What are the different ways to choose the tens digit, B, in the number 76581B2, so that the number will be divisible by 4? Explain your reasoning.

Answers

3 is =b
See attached picture
Other Questions
what do Europes rivers suggest about early migration patterns ? HURRY!!cBoth Jeanne Kirkpatrick and Patrick Moynihan served asA. managing editors of US news organizationsB. chairmen of the Joint Chiefs of StaffC senators from New YorkD. ambassadors to the United Nations Kate owns a shoe store in Los Angeles. Whenever she orders a new style of shoe, she orders 4 pairs of that style in each of the most popular sizes. The most popular sizes are 6, 7, 8, 9, and 10. She also orders 2 pairs in size 5 and 2 pairs in size 11.For every new style, how many pairs of shoes does she need to order in total? this is the first page in the book Write an equation in slope intercept form for the graph of the line. can someone help me with this science assignment What fraction of Oklahoma workers are in manufacturing? How does this compare to the national average? PLEASE HELP ASAP!!!! 2. Why do many people have a fraught relationship with money Answer please!! I Give 20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Two ratios that have the same value are called _____ ratios.productproportionequivalentunit please answer thisss (-3,5) (3,7)What is the slope of AB ? based on the diagram, which is the most reasonable hypothesis? a) metamorphic rocks never have layersb) sedimentary rocks are always the same colorc) sedimentary rocks contain grains of other rocksd) igneous rocks have layers caused by deposition Pangulong Manuel Luis Quezon at Pangala 1. Saan ipinanganak si Dr. Jose P. Laurel? d. Baguio a. Batangas b. Bulacan C. Bicol 2. Kailan siya isinilang? d. Marso 9,1 a. Marso 9, 1991 b. Marso 9, 1881 C. Marso 9, 1981 3. Ano ang unang tungkulin ni Dr. Jose P. Laurel bago siya naging pangul bansa? a. Senador b. Kalihim C. Mayor d. Gobernada 4. Aling bansa sakop ang Pilipinas noong naging pangulo siya? a. Amerika b. Espanya c. Hapon d. Tsina 5. Ano ang pinakamalaking pagsubok niya bilang pangulo ng bansa sa panahon Hapon? a. Masayang makasama ang mga Hapon. c. Mahirap magpasya bilang pinun b. Magaan makausap ang mga Hapon. d. Hindi magkaintindihan dahil sa wika is 'the colour' a noun phrase If the base of the parallelogram is 8 and the perimeter is 28 then what is the area? Need help with this math equation In the Allied conferences, the United States, the Soviet Union, and Great Britain often worked together toward their goals and vision of the post-war world. How did this balance of power affect the war's outcome and the political aftermath? You just ate a cookie that turned you 15 feet tall. What do you do next? What is the formula for this compound? 2 atoms of aluminum, 3 atoms of sulfur