What is the solution to the inequality below? 2(x -1) - 4(x + 2) < 5x

Answers

Answer 1

Answer:

[tex]\boxed {x > -\frac{10}{7}}[/tex]

Step-by-step explanation:

Solve the given inequality:

[tex]2(x - 1) - 4(x + 2) < 5x[/tex]

-Use Distributive Property:

[tex]2(x - 1) - 4(x + 2) < 5x[/tex]

[tex]2x - 2 - 4x - 8 < 5x[/tex]

-Combine like terms:

[tex]2x - 2 - 4x - 8 < 5x[/tex]

[tex]-2x - 10 < 5x[/tex]

-Subtract both sides by [tex]5x[/tex]:

[tex]-2x - 10 - 5x < 5x - 5x[/tex]

[tex]-7x - 10 < 0[/tex]

-Add both sides by [tex]10[/tex]:

[tex]-7x - 10 + 10 < + 10[/tex]

[tex]-7x < 10[/tex]

-When you are dividing a integer by a negative integer, the inequality sign would change. So, divide both sides by [tex]-7[/tex]:

[tex]\frac{-7x}{-7} < \frac{10}{-7}[/tex]

[tex]\boxed {x > -\frac{10}{7}}[/tex] (final answer)


Related Questions

Which property is used in the first step to solve this equation?

4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
addition property of equality
distributive property
division property of equality
commutative property

Answers

Answer:

distributive property

Answer:

distributive

Step-by-step explanation:

Determine if (4,1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

Answers

Hey the answer to your solution is (4,1) is correct:))

Write an equation of the line passing through the point (4, -2) that is parallel to the line - 3x – 4y = 5.

Answers

Answer:

Step-by-step explanation:

Let's solve for x.

−3x−4y=5

Step 1: Add 4y to both sides.

−3x−4y+4y=5+4y

−3x=4y+5

Step 2: Divide both sides by -3.

−3x

−3

=

4y+5

−3

x=

−4

3

y+

−5

3

Answer:

x=

−4

3

y+

−5

3

I think the answer would be ———— y + 2 = - 3/4 ( x - 4 ) .

So, the line is parallel to - 3x - 4y = 5 and the line passes through the point (4, -2).

So, what I did was I pulled up a graphing site on my Chromebook called DESMOS, maybe you could use this in the future to help you out a little bit.

I then graphed the line of - 3x - 4y = 5 or you could simplify it to y = -3/4x + 5/4 .

The slope of the line is 3/4 . You can find this by taking the points (-15, 10) and (5, -5) and doing this...

m = y2 - y1 divided by x2 - x1 which would look like -5 - 10 divided by 5 - -15 which would simplify to -15 over 20 which would get you a slope of -3/4.

Then you take the formula y - y1 = m( x - x1) and substitute in your variables.

It should look something like this y + 2 = - 3/4 ( x - 4) .

This answer is parallel to -3x - 4y = 5.

I’m sorry, I’m not very good at explaining, but I hope this helps you out.

the ratio as a fraction in simplest form. 5 meters : 20 meters

Answers

Answer:

5/20 but simplified makes it 1/4 this means it is in simplest form so ur answer is 1/4

Step-by-step explanation:

pls mark brainiest

If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?

Answers

It depends on which number has the greatest absolute value.

Think about it as money

If you owe me $10, this is shown as -10

Now  if I give you back 2 dollars  (+2), How much money do I still owe you.

The equation is -10+2

I still owe you 8 dollars which is portrayed as -8

Hope this helps :)

There is laundry detergent for $6.90 for 128 oz and detergent for $5.50 for 96 oz.
SHOW MATHEMATICAL WORK PLEASE I NEED HELP​

Answers

Answer: The detergent for $5.50 for 96 oz is better.

Step-by-step explanation:

128 ÷ $6.90 ≈ 18.55

96 ÷ $5.50 ≈ 17.45

I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
it needs to be an inequality
if you don't know what an inequality look at the other picture below

Answers

Answer: i think that the equation is 6

Step-by-step explanation:

-6 = 2/3r solve for r

Answers

r=-9


explanation: because

Answer:

r=9

Step-by-step explanation:

at 2 a m, the temperature was -6C An hour later, the temperature had decreased by 8C what was in the new temperature

Answers

Answer:

2c

Step-by-step explanation:

مرحبا انا جديد انت ايضا

Thirty is less than the sum of a number x and six

Answers

Answer:

x>24

Step-by-step explanation:

What is -18/-6? I am having trouble with negative numbers.

Answers

Answer:

3

Step-by-step explanation:

This is a simple rule with negative numbers, a negative divided by a negative is negative. So, 18/6 is 3, so the answer is 3

Answer:

1.125

Step-by-step explanation:

The symbol " / " is a Divide expression. If you divide both negative or add, subtract and multiply, the anwer will be positive.

-18/-16 =

Exact Form :

9/8

Decimal Form :

1.125

Mixed Number Form:

1 1/8

The cost of 2 cups of strawberries is $6. Write an equation for the relationship between the cost and cups os strawberries

Answers

Answer:One equation is x=6/2

Hope this helps

Answer:

the strawberrys are worth $3 per cup.

Step-by-step explanation:

s= $6

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20

Answers

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

I will give brainliest and give 17 points please help!!

Answers

Answer:

1. New England Patriots: (3,-2)

2. Miami Dolphins: (-2,1)

3. Denver Brancos: (4,3)

4. Green Bay Packers: (-1,3)

5. San Franciso 49ers: (-4,-4)

6. Pittsburg Steelers: (2,2)

7. Baltimore Ravens: (3,1)

8. Dallas Cowboys: (4,-3)

9. Oakland Raiders: (-4,2)

10. Washington Redskins: (-3,-1)

can i get some help with geometry​

Answers

Answer:

first you need to make that into an equation here i think your equation that will help you on that question is 46°+63°=X

Step-by-step explanation:

K-is (4°k+5°y)+(4°k+10°y)=118°

and then what ever you get out of the K's and Y's you will divide that number by 118 and that is the value of K

and this is my opinion

A bus travels at a speed of 40 miles per hour and reaches Hogville in 40 minutes. If a cab takes 35 minutes to reach the same spot, determine the speed at which it traveled.

Answers

Answer:

45.7miles per hour

Step-by-step explanation:

40mins = 2/3 hour

the bus travelled (2/3 x 40) miles = 80/3 miles

the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)

Simplify.

5+27÷36+1
If you would please

Answers

Answer:

6.75

Step-by-step explanation:

You can use the calculator or scrap paper, which ever one is easier for you.

Q is the midpoint for the points S(11, -6) and T(-1, 10). Find the length of segment QT.
QT=

Answers

Answer:

10

Step-by-step explanation:

QT=ST/2=√(12^2+16^2)/2=10

What is the volume of the prism below?
Aw
2
23
units
$3
3. units
5 units 3
A units 3

Answers

Answer:

V = 3.5 m3

Step-by-step explanation:

length l = 1 m

width w = 2 m

height h = 1.75 m

volume V = 3.5 m3

Stephen has a dog that weigths 5 times as much as lan's dog.The total weigths of both dogs is 72 pounds.How much does Stephens dog weigths?

Answers

Answer: Stephens dog weighs 60 pounds

Step-by-step explanation:

How do I make someone brainlest?

Answers

Answer:

When 2 people  answers a question you should see a crown and you click  on it and  that is how you marke someone brainlest

Step-by-step explanation:

The cost of renting a boat is $20 plus $2.50 per hour, where x is the number of hours of boat rental. Millie wants to spend less than $50 on the boat rental. Which inequality models this situation?​

Answers

Answer:

D. 20 + 2.50x < 50

Step-by-step explanation:

20 + 2.50x < 50 - the sign has to be less than because Millie wants to spend less than $50

What is the slope-intercept equation for the line below?

A) y = 5/4x - 4
B) y = 4/5x - 4
C) y = -4/5x - 4
D) y = -5/4x - 4​

Answers

Answer:

A) y = 5/4x - 4

Step-by-step explanation:

Slope-intercept formula

y = mx + b, where m = slope, b = y-intercept

Slope formula

m = (y2 - y1)/(x2 - x1)

Given points (on the graph)

(0, -4) and (4, 1)

Slope is:

m = (1 - (-4))/(4 - 0) = 5/4

y-intercept is

-4 as per the first point

So the line is:

y = 5/4x - 4

Correct answer option is: A) y = 5/4x - 4

Answer:

it is a very very easy sum!

Step-by-step explanation:

goooooood afternoon

convert each terminating decimal to a fraction in its simplest form. A. 0.4 B. 0.625

Answers

Answer:

A. 2/5

B. 5/8

Step-by-step explanation:

0.4 = 4/10 = 2/5

625/1,000 = 125/200 =25/40 = 5/8

Solution set of equation x^2-5x=0

Answers

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[tex] {x}^{2} - 5x = 0[/tex]

Factorise x

[tex]x(x - 5) = 0[/tex]

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Hint :

[tex]a \times b = 0[/tex]

[tex]a = 0 \: \: \: \: or \: \: \: \: b = 0[/tex]

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Thus ;

[tex]x = 0 \: \: \: \: or \: \: \: \: x - 5 = 0[/tex]

So :

[tex] x = 0 \: \: \: \: or \: \: \: \: x = 5[/tex]

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CHECK :

[tex]x = 0[/tex]

[tex] {0}^{2} - 5(0) = 0[/tex]

[tex]0 - 0 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

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[tex]x = 5[/tex]

[tex] {5}^{2} - 5(5) = 0[/tex]

[tex]25 - 25 = 0[/tex]

[tex]0 = 0[/tex]

The solution is correct.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

I think A or b will equal 0

Systems by elimination:
please help me..ASAP

Answers

Answer:

#1 is no solution and #2 is infinitely many solutions

the first one would be c) (2,-9)
the second one i’m not sure

Factor the expression into an equivalent form.

Answers

Answer: the answer is C.

Step-by-step explanation: factor out 3 from the expression (4y2 -25)

using a2 -b2=(a-b)(a+b), factor the expression. Then your answer is        3(2y-5)(2y+5)

Here you go! Hope this helps!!!!

2-5/6x=-5

what is x
pls show me how to solve it

Answers

x=8.4 work is in the picture box.

i could use some help on this. thanks

Answers

Answer: is B

Step-by-step explanation:

Answer:

1 to 1?

Step-by-step explanation:

Jason invests money in an account paying simple interest. He invests $160 and no money is added or removed from the investment. After one year, he has $164.80. What is the simple percent interest per year?

Answers

Answer: 1.03% Explanation: Divide the amount of money after 1 year by his original investment.

Answer:

The answer is 3%

Step-by-step explanation:

1.) $160 divided by $164.80 = 1.03

2.) 1.03 x 100 = 103

3.) 103 - 100 = 3

4.) 164.80 - 160 = 4.80

5.) 4.80 divided by 160 = 0.03

6.) 0.03 x 100 = 3%

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