What is the solution of the inequality 7(x + 4) < 2(x–5) + 3(x + 9)?

What Is The Solution Of The Inequality 7(x + 4) &lt; 2(x5) + 3(x + 9)?

Answers

Answer 1

Answer:

x< -8.125

Step-by-step explanation:

7(x+4) < 2(x-5) -3(x+9)

distribute 7, 2, -3 to the parentheses to the right

7x+28<2x-10-3x-27

add like terms

7x+28<x-37

add x to 7x and subtract -28 to -37

8x<-65

divide both sides by 8

x<-8.125 or (-65/8)


Related Questions

the weekly profit of your cat grooming business is modeled by the expression 2x-15. your profit is more than $55 and at most $105 write your profit as an inequality

Answers

Answer:

55 < 2x-15 < 105

Step-by-step explanation:

Just set the equation less than and greater than the variables given

Solve the system of equations without graphing. Explain or show your reasoning.

{2y=x−4
{4x+3y=5

Answers

Answer:

(2, -1)

Step-by-step explanation:

We can subtract x from both sides from the first equation, then multiply the first equation by 4, so it's easier to solve later:

-4x+8y = -16

4x+3y = 5

Then, we can add the 2 equations, so the x cancels out:

11y = -11

y=-1

Now, we can plug y as -1 to any of the equations above:

4x+3*(-1)=5

4x=8

x=2

Therefore, the solution to these 2 equations are (2, -1)

The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The system of equations is given below.

x = 2y + 4             ...1

4x + 3y = 5          ...2

From equations 1 and 2, then we have

4(2y + 4) + 3y = 5

8y + 16 + 3y = 5

11y = - 11

y = -1

Then the value of 'x' is given as,

x = 2 (-1) + 4

x = - 2 + 4

x = 2

The value of the variables 'x' and 'y' will be 2 and negative 1, respectively.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Select the correct answer.
Which function has a zero with a multiplicity of 2?

Answers

Answer:p(x)=(x-1)(x-3)²

Step-by-step explanation:

The polynomial p(x)=(x-1)(x-3)² is a 3rd degree polynomial, but it has only 2 distinct zeros. This is because the zero x=3, which is related to the factor (x-3)², repeats twice. This is called multiplicity. It means that x=3 is a zero of multiplicity 2, and x=1 is a zero of multiplicity 1.

At 12:00 P.M., the water pressure on a submarine is $435 pounds per square inch. From 12:00 P.M. to 12:30 P.M., the water pressure increases $58 pounds per square inch. From 12:30 P.M. to 1:00 P.M., the water pressure decreases $116 pounds per square inch. What is the water pressure at 1:00 P.M.?

Answers

Answer:

377 pounds

Step-by-step explanation:

435 + 58 = 493

493 - 116 = 377


A standard paper clip is 1 1/4
inches long. If you laid 75 paper
clips end to end, how long would
the line of paper clips be?

Answers

the line of paper clips would be 93 3/4 inches long

The line of 75 paper clips end to end would be 93 3/4 inches long.

To calculate the total length of the line formed by laying 75 paper clips end to end, we need to find the sum of the lengths of all the paper clips.

Each paper clip is 1 1/4 inches long. To add these lengths together, we can convert 1 1/4 to an improper fraction, which is 5/4 inches.

Now, multiply the length of one paper clip (5/4 inches) by the number of paper clips (75):

Total length = (5/4) inches * 75

Next, multiply the whole number (75) by the numerator (5) and add it to the product of the denominator (4) and the whole number:

Total length = (75 * 5 + 0) / 4

Total length = 375/4

Now, we can simplify the fraction:

Total length = 93 3/4 inches

The line of 75 paper clips end to end would be 93 3/4 inches long.

To know more about line:

https://brainly.com/question/34224170

#SPJ6

A car company can make 200 cars per day. How many weeks will it take to
make 5,600 cars?

Answers

Answer:

4 weeks

Step-by-step explanation:

5,600/200 = 28

28/7 = 4

Answer:

4 weeks

Step-by-step explanation:

200x7=1400

5600/1400=4

After 2 hours the Red Cross raises $250 and after 6 hours it raised a total of $785. What's the average rate of change in terms of dollars per
hour?

Answers

Answer:

After 2 hours the Red Cross raises $250 and after 6 hours it raised a total of $785. What's the average rate of change in terms of dollars per hour? Add answer. Log in to add ... If we start with 5 cells, and each cell divides in two every 15 minutes, how many total after 1 hour? if you what 3x +2/w is than you ...

Step-by-step explanation:

Please help me. Hurry, linear equations.

Answers

Answer:

Let's simplify step-by-step.

3−3/4x−1/4x−7

=3+ −3/4x+ −1/4x+ −7

Combine Like Terms:

=3+ −3/4x+ −1/4x+ −7

=(−3/4x+ −1/4x)+(3+ −7)

=−x+ −4

Answer:=−x−4

Step-by-step explanation:

answer:-4

Solve for x: u = k + yx

Answers

x
=
u
y

k
y
is the answer
x= u/y - k/y

If w = -3 and v = -6, what is the value of -w - (-v )?

Answers

Answer:

-3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

w - (-v)

-3 - (-6)

3

Hope this helps!

p(x)=x⁴-2x³+2x²-3x+6 to (x-1)​

Answers

Answer:

x⁴-2x³+2x²-3x+6 to (x-1) is

(x^3-x^2+x-2)*(x-1)+4

If 2 bags of rice cost 3 dollars then
How much do 20 bags of rice cost?

Answers

Answer:

30

Step-by-step explanation:

2 x 10 = 20

3 x 10 = 30

Answer:

120

Step-by-step explanation:

20 x 3= 60

60 x 2= 120

hope this helped

what is the greatest integer less than 10000 that is a factor of 11000+1100+11?please explain answer.​

Answers

Answer:

12111 is the answer

Step-by-step explanation:

11000+1100+11=12111

plz like and follow me and Mark as brainlist plz

?? i have to present this to my class tomorrow and i’m not confident lol

Answers

Answer:

do you know the answer

Step-by-step explanation:

i always write down my work first then explain my steps

the sum of 2 number is 64,twice the large number plus five times the smaller number is 20 find the 2 numbers​

Answers

Answer:

The two numbers are:  - 36 and 100

Step-by-step explanation:

let the smaller number = x, let the larger number = y

then...

x + y = 64

5x + 2y = 20

use substitution:  y = (64 - x)

5x + 2(64 - x) = 20

3x = 20 - 128 = - 108

x = - 36

So the two numbers are:  - 36 and 100

Tell me If I'm wrong

what is negative one eighth of a number is -3/4 as an equation?
will name the brainliest!

Answers

Answer:

The equation is  [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

The Equation is formed from two sides equal to each other

In the algebraic statement "is" means equalIn the algebraic statement "of" means times (×)

∵ One eighth means [tex]\frac{1}{8}[/tex]

∴ Negative one eighth means  [tex]-\frac{1}{8}[/tex]

→ Assume that the number is x

∵ "of" means times

∴ Negative one eighth of a number = [tex]-\frac{1}{8}[/tex] × (x)

∴ Negative one eighth of a number = [tex]-\frac{1}{8}[/tex] x

∵ Negative one eighth of a number is [tex]-\frac{3}{4}[/tex]

→ "is" means equal, so the left side is [tex]-\frac{1}{8}[/tex] x and the right side is [tex]-\frac{3}{4}[/tex]

∴  [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex] ⇒ Equation

∴ The equation is  [tex]-\frac{1}{8}[/tex] x = [tex]-\frac{3}{4}[/tex]

A 12-foot ladder is leaning against a building 10 feet above the
ground. At what height would a 9-foot ladder touch the building if
both ladders were the same angle with the ground?

Answers

Answer:

11 ft

Step-by-step explanation:

write each number in standard form and word form
11. 654 thousand, 321
12. five six point nine nine ​

Answers

11. 654,321

12. 56.99

Answer:

11. Standard form: 654,321

12. Standard form: 56.99

Word Form:

11. Six hundred fifty four thousand, three hundred twenty one

12. Fifty six point ninety nine

I hope this helps!

f(x)=-x^2+3 pls help

Answers

Answer:

answer = -1

.-(-2)^2 +3 = -4 +3 = -1

Evaluate 2 + 3n if n = 5

Answers

Answer:

your awnser is n=1 if i wrong just message me but I'm positive that is the awnser

Darryl earns $10 per hour tutoring students. if Darryl tutored for 25 hours this month, how much money did he earn this month​

Answers

Answer:

danny makes 250 per month

Step-by-step explanation:

Answer:

Darryl earned $250.00 in a month.

Step-by-step explanation:


Lines q and r are parallel What is the value of x?
A.14
B. 22
C. 53
D. 70

Answers

Answer:

I'm pretty sure it is C

Step-by-step explanation:

If you look right above x, you will see that the triangle is the same size as the x triangle. So the are gonna be the same degrees. (53 degrees)

Answer:

53°( vertically opposite angles)

57°( alternative angles)

According to the above problem,

[tex]5x + 53 + 57 = 180 \\ 5x + 110 = 180 \\ 5x = 70 \\ x = \frac{70}{5} \\ \boxed{x = 14}[/tex]

(A) 14 is the right answer.

Help PLEASE!

Which statement is true about the equation 7(2+5x)=3x+14
7
(
2
+
5
x
)
=
3
x
+
14
?


The equation has infinitely many solutions.
The equation has infinitely many solutions.

The equation has no solution.
The equation has no solution.

The equation has one solution because x=0
.

Answers

Answer:

the first answer is correct Edge 2020

Step-by-step explanation:

Answer:

Step-by-step explanation:

-6

Help me please) Bro Im dumb Help

Answers

Answer:

The answer is 69 degrees.

Step-by-step explanation:

All you have to do is take the higher temperature and subtract it by the lower one.

Question 13
Find the value of x.

Answers

Answer:

idrk i think it is 16x²

Step-by-step explanation:

Of the 1,400 students enrolled at a Middle School, 40% of students enrolled are in the 6th grade. How many students are enrolled in 6th grade? Explain how you got your answer.

Answers

Answer:

560 students

Step-by-step explanation:

1400*.40=560 students in 6th grade

ls this a function?
1234
2
3
44
Yes
No

Answers

No this is not a function

Answer:

no

Step-by-step explanation:

this would not be considered a function

PLS HELP WITH 1b!!!!!

Answers

Answer:

I can see the pdf

Step-by-step explanation:

Answer:

Yes, they do because both of the morning graphs had a better range in grades than the afternoon students.

Step-by-step explanation:

Harriet works at the Mint, where new coins are made. Old and fake coins are also destroyed there. Harriet has 10 bags of $1 coins. All 10 bags contain the same number of coins. Harriet knows that nine bags contain only good coins and that one bag contains only fake coins. The fake coins are all about 0.5 gram short. Harriet has forgotten which bag contains the fake coins.
Harriet has a set of scales for weighing like the ones in the illustration. What is the lowest number of times she can weigh bags on the scales in order to find the bag of fake coins?

Answers

Answer:

3 times

Step-by-step explanation:

She would have to weigh the fake coins and another bag of real coins to spot a difference, and then she would need to check another bag to see which was correct. Maybe thats right.

Here is another lol.

Answers

Answer:

50

Step-by-step explanation:

cause its right trust me i dont wanna waist ur time writing something that i know ur no gonna read

Answer:

lol

Step-by-step explanation:

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