What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

Answers

Answer 1
1.5x+6-3=4.5(x-2)
1.5x+6-3=4.5x-9
1.5x+3=4.5x-9
1.5x-4.5x+3=-9
1.5x-4.5x=-9-3
-3x=-9-3
-3=-12

X=4
Answer 2

Answer:

open the brackets of two sides

ie; 1.5x+6-3=4.5x-9

1.5x+3=4.5x-9

4.5x-1.5x=3+9

3x=12

X=4


Related Questions

2. Write an algebraic
expression to represent
two less than a

Answers

Answer:

a-2

Step-by-step explanation:

Answer : x - 2

x is the number & -2 would go with “2 less than a number”

Which of the following describe 4/8

Answers

Answer:

4/8 is one half.

Step-by-step explanation:

4/8 -- 4 goes into both the numerator and denominator -- 4 goes into 4 one time and 4 goes into 8 two times.

Therefore, you have 1/2.

Answer:

4/8=.5 or 1/2

Step-by-step explanation:

4/8 can be reduced to 1/2

state the slope and a point on the line y - 18 = 71.3(x +98)

explain how you got your answer

Answers

Answer:

slope = 71.3  and a point (0, 7005.4)

Step-by-step explanation:

the slope in an equation of the form y = mx+b, m is the slope so multiply 71.3 through the brackets and then add 18 to both sides and that is the equation in y=mx+b format and 71.3 is the slope and b os the y-intercept which turns out b=7005.4 and since its a y-intercept x = 0

Answer:

The slope is 71.3 and the point on the line is (h, k):  (-98, 18)

Step-by-step explanation:

y - 18 = 71.3(x +98) is to be solved for the slope and a point on the line represented by this equation.

Refer to the point-slope formula   y - k = m(x - h), where (h, k) is a point on the ine and m is the slope of the line.

Comparing y - 18 = 71.3(x +98) to

                   y - k = m(x - h),

we readily see that k = 18, h = -98 and m = 71.3

The slope is 71.3 and the point on the line is (h, k):  (-98, 18)

1/3 of a number is 4 less than 1/2 of the number, the number is

Answers

Answer:

12

Step-by-step explanation:

1/2x=3/4x−3⇒2x=3x−12⇒x=12

What is the value of this expression? Select all that apply (8.59 x 10^4) - (3.2 x 10^3)

Answers

Answer:

A. 8.27*10^4

D. 82,700

Step-by-step explanation:

Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75. Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.

Answers

x = number of appointments

y = total amount earned in dollars

The total earnings equation is y = 2x+40

The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.

She wants to earn at least $75. This means she wants to earn $75 or more.

This means,

[tex]y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5[/tex]

Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.

If x = 17, then

y = 2x+40 = 2*17+40 = 34+40 = 74

which is not 75 or larger

But if x = 18, then

y = 2x+40 = 2*18+40 = 36+40 = 76

which is larger than 75, so we've cleared the hurdle.

We can say the solution set is [tex]x \ge 18[/tex] where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.

In summary, she must schedule at least 18 appointments to earn $75 or more.

Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols

Determine whether the samples are independent or dependent. Upper A data set includes the age at marriage for 90 randomly selected married men and 90 randomly selected married women. nbsp Choose the correct answer below.

A. The samples are independent because there is a natural pairing between the two samples.

B. The samples are dependent because there is a natural pairing between the two samples.

C. The samples are dependent because there is not a natural pairing between the two samples.

D. The samples are independent because there is not a natural pairing between the two samples.

Answers

Answer:

D. The samples are independent because there is not a natural pairing between the two samples

explanation:

Independent samples do not affect each other as each group is selected randomly. They are common in statistical analysis, example: when there is a control group and an experimental group and the subjects for each group are different. In the above example, the samples do not depend on each other. There are 90 randomly selected married men in one group and 90 randomly selected married women in the other. The subjects are different in the two groups and so they do not affect each other. This is unlike dependent/paired samples where for example same subjects are used before and after a medication and therefore each group affects the other.

The parabola LaTeX: f\left(x\right)=x^2f ( x ) = x 2 was translated up by 4 units.



What is the function rule for the new transformed parabola LaTeX: g\left(x\right)g ( x )?



Group of answer choices



LaTeX: g\left(x\right)=4x^2 g ( x ) = 4 x 2



LaTeX: g\left(x\right)=\left(x+4\right)^2 g ( x ) = ( x + 4 ) 2



LaTeX: g\left(x\right)=x^2+4 g ( x ) = x 2 + 4



LaTeX: g\left(x\right)=\left(x-4\right)^2 g ( x ) = ( x − 4 ) 2

Answers

Answer:

C. g(x) = x²+4

Step-by-step explanation:

Given the parabola function f(x) = x²

Translating the function up by 4 means adding the constant value of +4 to the function since it's translated along the positive y axis. The resulting function g(x) will be x²+4

Hence the correct answer is g(x) = x²+4. Option C is correct.

Find The Slope Of The Relationship

Answers

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (10, 40)

Point (15, 60)

Step 2: Find slope m

Substitute:                   [tex]m=\frac{60-40}{15-10}[/tex]Subtract:                      [tex]m=\frac{20}{5}[/tex]Divide:                         [tex]m=4[/tex]

Is 13/12 greater then 6/5?

Answers

Answer:

yes

Step-by-step explanation:

13/12 is not greater than 6/5

What is the binary number for 20​

Answers

10100 hope it helped!

the following two triangles are congruent. Select the correct statement for the correct corresponding part that must be congruent.

Answers

Answer:

You are correct.

Step-by-step explanation:

y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.

Curse at it and move on.

please help i will mark brainliest

Answers

Answer:(3,-5)

Step-by-step explanation:

Answer:

The answer will be

B. (3,-5)

Only 5 and 6. Please help me need it for now

Answers

Answer:

5)1075000000

6)333.333333333

Step-by-step explanation:

5)4.3*10^3=4300

2.5*10^5=250000

6)3*10^6=3000000

9*10^3=9000

Step-by-step explanation:

5.)

(4.3 × 10³) × (2.5 × 10⁵)

10.75 × 10⁸

Please help will mark brainliest if correct

Answers

Answer:

Step-by-step explanation:

The triangles can not be proven congruent.

We have AAA theorem ⇒ given triangles are similar for sure.

How to calculate the H-Method of
f(x)= -2,5x² x0=4 ?
I really have no clue

Answers

Answer:

Yotmpocoa  ngo ni ideate

Step-by-step explanation:

Which answer choice shows 38.412 rounded to the nearest half?
A. 38
B. 38.5
C. 39
D. 39.5

Answers

Answer:

A

Step-by-step explanation:

when u see all the numbers after the point they all are not equal to or > 5 so we don't add any number.

how do I work out this problem
sofia opens a new savings account with a 2.25% simple interest rate. She deposited $3500 and earned $3696.88 total by the time she checked the account again. How long was the money left untouched in the savings account?

Answers

U multiple the 2.25 and 3500 and see if u get around 3696.88 and if u do subtract from that

Solve:
10 -0.75x < 7
Please and thank you

Answers

Answer:

The answer is x<4

But the girl over me just did it for points

Answer:

x<4

Step-by-step explanation:

??help me please now

Answers

Answer:

x^2+10x+24

Step-by-step explanation:

(x+6)×(x+4)

=x^2+4x+6x+24

=x^2+10x+24 (ans)

A soccer team won 11 games last year. This year they won 13 games. What was the percent increase in the number of games they won?

Answers

Answer:

About 18% increase

Step-by-step explanation:

Pick an Dessert for every single day?

Answers

Answer:

I don't know what to pick! both look sooooo yummy =P. If i had to chosse i would pick the second one.

Step-by-step explanation:

Find the total area of the shaded region in the composite figure, round to the nearest tenth.

Answers

Answer:

all my answers are in the comments btw

Step-by-step explanation:

Solve the system of linear equations by substitution. x=16−4y 3x+4y=8

Answers

Answer:

Solution: (-4,5)

Step-by-step explanation:

x=16-4y

3x+4y=8

-----

The 1st equation tells you x = 16-4y

---

Substitute that into the 2nd equation

and solve for "y":

3(16-4y)+4y = 8

48 - 12y + 4y = 8

-8y = -40

---

 

y = 5

---

Solve for "x"

x = 16-4y

x = 16-4*5

x = 16-20

x = -4

The given system of equations has (-4, 5) as its solution.

What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following system of equations -

x = 16 - 4y

3x + 4y = 8

Now, we can write -

3x + 4y = 8

3(16 - 4y) + 4y = 8

48 - 12y + 4y = 8

40 = 8y

y = 5

Then, we can write -

x = 16 - 20

x = - 4

Therefore, the given system of equations has (-4, 5) as its solution.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

jacob’s graduation party costs $22.50 for decorations, plus an additional $5.50 for each attendee. At most, how many attendees can there be if Jacob budgets a total of $50 for his graduation party? Write an equation, solve, and justify your steps. Show your work.

Answers

Answer:

28.00 and yes he is still in his budget

Step-by-step explanation:

22.50

5.50

............

28.00

Answer:

Jacob can have up to 5 guests at his graduation party because 50 - 22.50 is 27.50 and 27.50/5.50 is 5.

Step-by-step explanation:

To start off you would subtract 22.50 from 50 leaving you with 27.50. From there you would account for the number of attendees. Since 27.50/5.50 equals 5 the maximum amount of guests Jacob can have at his graduation party is 5.

A bird flies south. Its distance from its nest, as a function of time, is modeled by y=20x+1. Which statement best describes the function

Answers

Answer:the function is linear

Step-by-step explanation:

Answer:

it linear

Step-by-step explanation:

AP3X verified

Find three different integer solutions to the equation -3x-y=-1

Answers

Answer:

The integers are -3, x, and -y

Step-by-step explanation:

Help ? On this question and show me your working out so I know

Answers

Answer:

27.5 hr

Step-by-step explanation:

220÷8=27.5

PLEASE HELP!!!!!!!!! ​

Answers

Answer:

C. Graph C :)

Step-by-step explanation:

Two one third plus six three fifths

Answers

The answer is 8 14/15
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