All categories

3 years ago

Solve 3-(2x-5)<-4(x+2)

Mathematics

2 answers:

azamat3 years ago

7 0

Answer:

Step-by-step explanation:

3-(2x-5)=-4(x+2)

We simplify the equation to the form, which is simple to understand

3-(2x-5)=-4(x+2)

Remove unnecessary parentheses

3-2x+5=-4*(x+2)

Reorder the terms in parentheses

3-2x+5=+(-4x-8)

Remove unnecessary parentheses

+3-2x+5=-4x-8

We move all terms containing x to the left and all other terms to the right.

-2x+4x=-8-3-5

We simplify left and right side of the equation.

+2x=-16

We divide both sides of the equation by 2 to get x.

x=-8

mr_godi [17]3 years ago

3 0

Answer:

x < - 8

Step-by-step explanation:

Given

3 - (2x - 5) < - 4(x + 2) ← distribute parenthesis on both sides

3 - 2x + 5 < - 4x - 8

- 2x + 8 < - 4x - 8 ( add 4x to both sides )

2x + 8 < - 8 ( subtract 8 from both sides )

2x < - 16 ( divide both sides by 2 )

x < - 8

You might be interested in

PLS HELP I WILL DO ANYTHING PLS

olganol [36]

447 with 0 remainder

4 0

2 years ago

Move numbers to the blanks to show a meaning of 5×2 = 10

MrRissso [65]

Answer:

The expression 5 × 2 = 10 means:

10 is 5 times as many as 2.

Step-by-step explanation:

Given the expression

5 × 2 = 10

From the expression, it is clear that we can determine that when we multiply 2 by 5 to get 10.

In other words, we can determine the value 10 by:

2+2+2+2+2 = 10

It means 10 is 5 times as many as 2.

Therefore, the expression 5 × 2 = 10 means:

10 is 5 times as many as 2.

6 0

3 years ago

What is the solution to 9x−6<21?

Alisiya [41]

Answer:

$x > 3$

Step-by-step explanation:

1) Add 6 to both sides.

$9x > 21 + 6$

2) Simplify 21 + 6 to 27.

$9x > 27$

3) Divide both sides by 9.

$x > \frac{27}{9}$

4) Simplify 27/9 to 3.

$x > 3$

Therefor, the answer is option B. x > 3.

7 0

3 years ago

Meredith has 8 pages of homework to do. If she can finish of a page in one hour, how

Damm [24]

Answer: 8 Hours to finish her homework.

Step-by-step explanation: We know each page, or 1 page takes 1 hour to finish. We want to know how many hours it would take to take finish 8 pages of homework. To find this, simply multiply 1 by 8. (1 hour per page, or 1 hour for each of the 8 pages.)

1 x 8 = 8.

So it will take Meredith 8 hours to finish her homework.

4 0

3 years ago

Read 2 more answers

PLEASE HELP WILL MARK BRAINLIEST!!!!

MaRussiya [10]

(a) The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b) The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + c

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

(a) The slope of the line is $\frac{3}{4}$

(b) The equation of the line in point-slope form is:

y - 3 = $\frac{3}{4}$ (x + 4)

y = $\frac{3}{4}$ x + 6

The inequality that model the problem is:

20x + 10y ≥ 2000

Step-by-step explanation:

The given is:

1. The county fair charges $1.25 per ticket for the rides.

2. Jermaine bought 20 tickets for the rides and spent a total of $35.00

at the fair

3. Jermaine spent his money only on ride tickets and fair admission

4. The price of the fair admission is the same for everyone

Use y to represent the total cost and x to represent the number of

ride tickets

∵ The price of a ticket = $1.25

∵ The number of tickets = x

∵ y represents the total cost

∵ The total cost = the cost of a ticket × the number of tickets + the price

of the fair admission

∴ y = 1.25 x + c, where c is the fair admission

∵ Jermaine bought 20 tickets

∴ x = 20

∵ Jermaine spent a total of $35.00 at the fair

∴ y = 35

- Substitute these values in the equation in step b

∴ 35 = 1.25(20) + c

∴ 35 = 25 + c

- Subtract 25 from both sides

∴ c = 5

∵ c represents a constant term (y-intercept) in the linear equation

∴ The price of the fair admission for any one is $5

(a)

The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b)

The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + 5

(c)

Because the equation is linear which means the value of y depends on

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

A line goes through the points (-4 , 3) and (4 , 9)

The rule of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ $x_{1}$ = -4 and $x_{2}$ = 4

∵ $y_{1}$ = 3 and $y_{2}$ = 9

∴ $m=\frac{9-3}{4--4}=\frac{6}{8}=\frac{3}{4}$

(a)

The slope of the line is $\frac{3}{4}$

(b)

The point-slope form of the equation is $y-y_{1}=m(x-x_{1})$

∵ $y_{1}$ = 3 and $x_{1}$ = -4

∵ m = $\frac{3}{4}$

∴ y - 3 = $\frac{3}{4}$ (x - -4)

∴ y - 3 = $\frac{3}{4}$ (x + 4)

The equation of the line in point-slope form is:

y - 3 = $\frac{3}{4}$ (x + 4)

(c)

The slope-intercept form of the equation is y = mx + c, where c is the

y-intercept

∵ m = $\frac{3}{4}$

∴ y = $\frac{3}{4}$ x + c

- To find c substitute x and y by the coordinates of one of the two

given points

∵ x and y are the coordinates of point (4 , 9)

∴ 9 = $\frac{3}{4}$ (4) + c

∴ 9 = 3 + c

- Subtract 3 from both sides

∴ c = 6

∴ y = $\frac{3}{4}$ x + 6

The equation of the line in slope-intercept form is:

y = $\frac{3}{4}$ x + 6

Jacob and Sarah are saving money to go on a trip

The given is:

1. They need at least $2000 in order to go

2. Jacob mows lawns and Sarah walks dogs to raise money

3. Jacob charges $20 each time he mows a lawn and Sarah charges

$10 each time she walks a dog

4. x representing the number of lawns mowed and y representing the

number of dogs walked

∵ x representing the number of lawns mowed

∵ Jacob charges $20 each time he mows a lawn

∴ Jacob can earn $20x

∵ y representing the number of dogs walked

∵ Sarah charges $10 each time she walks a dog

∴ Sarah can earn 10y

∵ They need at least $2000 in order to go to the trip

∴ 20x + 10y ≥ 2000

The inequality that model the problem is:

20x + 10y ≥ 2000

Learn more:

You can learn more about inequality in brainly.com/question/6703816

brainly.com/question/10402163

#LearnwithBrainly

5 0

3 years ago