Find the solution set for 8x - 3 = 2(x - 1/2)​

Answers

Answer 1

Answer:

x = 1/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

8x - 3 = 2(x - 1/2)

Step 2: Solve for x

Distributive 2:                              8x - 3 = 2x - 1Subtract 2x on both sides:         6x - 3 = -1Add 3 to both sides:                   6x = 2Divide 6 on both sides:              x = 1/3

Related Questions

Triangle ABC has coordinates A(1, 1); B(2, 5); C(5, 1). What would be the coordinates of A'B'C' if you translated ABC left 2 and up 5 units? (Hint: x-values go left and right; y-values go up and down) *
A'(-1, 6) B'(0, 10) C'(3, 6)
A'(3, -4) B'(4, 0) C'(7, -4)

Answers

Answer:

A'(-1, 6) B'(0, 10) C'(3, 6)

Answer:

I would say it's the first one

4m + 7 = -3m + 49 what does this

Answers

Answer: m = 6

Step-by-step explanation:

first, move the terms.

4m + 3m = 49 - 7

then, collect like terms and calculate.

7m = 42

then divide both sides.

m = 6

Answer:

m=42

Step-by-step explanation:

simplifying both sides of the equation then isolating the variable.

What is the solution set for -4x - 10 ≤ 2?

x ≤ -3
x ≥ -3
x ≤ 2
x ≥ 2

Answers

The answer is b
X > -3
Hope it helps

The tens digit of a two-digit number is 1 less than 3 times the units digit. If the digits are reversed, the new number is 45 less than the original number. Find the number​

Answers

Answer:

32 is the

number

Step-by-step explanation:

The relationship between two numbers is described below, where x represents the first number and y represents the second number.
The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to
the first number multiplied by 7.
Select the equations that form the system that models this situation. Then, select the solution(s) of the system.

Answers

X=y+16

4y-1=7

Solve on both sides

4y=8

Y=8/2

Y=4

X= (4)+16

X=20

Answer this please, will give 100 points.

Answers

Answer:

y=x doesent that mean 2=3 so what you do is the line that goes up thats y and the one that goes sideways thats x so at the to go to 2 then at the side go to 3

Answer:

Step-by-step explanation:

y=x doesent that mean 2=3

Does anyone know how to do this I’ve been trying for hours and I can’t find anything to help me?

Answers

Answer:

Honestly dude try your hardest u got this i belive in u ask your mom or dad or big brother or big sister if your seeing this right now im trying to help if if u love your mom u would do the same.

Step-by-step explanation:

which of the following equations represents the graph?
A. y = 3/4x - 3

B. y = 3/4x + 4

C. y = 4/3x - 3

D. y = 4/3x + 4

Answers

Answer is d. y=4/3+4

Answer:

D) 4/3 x + 4

Step-by-step explanation:

The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).

The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept

Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.

y2 - y1/x2 -x1

0 - 4/-3 - 0

-4/-3 = 4/3

Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.

The answer is 4/3x + 4.

calculate the perimeter of this figure to the nearest tenth

Answers

Answer:

40.9

Step-by-step explanation:

Perimeter = 8 + 10 + 10 + 4 + 8.9

=> 20 + 4 + 8.9 + 8

=> 32 + 8.9

=> 40.9

This is already in the nearest tenth, so the answer = 40.9

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the year with 4 pencils per student, how many boxes do they need to buy before the school year starts?

Answers

Answer:

67

Step-by-step explanation:

(4*100)/6

=400/6

=66.67

Round to get 67

The correct answer in the box. Linear function g is shown in the graph.

Write the slope-intercept form of the equation representing this function.​

Answers

Answer:

this is right on the test

Step-by-step explanation:

Answer:

The correct answer is

g(x)=2x+1

Step-by-step explanation:

I got it right on the Edmentum test.

#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.

Answers

Answer:

B), Between 6 and 7, but closer to 7

Step-by-step explanation:

The square root of 44 is around 6.6, so closer to 7

You can prove this by multiplying 6.6 by itself

6.6 x 6.6 = 43.56

which equation represents the line that passes through points (5, 4) and (-5, 0)

Answers

Find slope: (y2-y1)/(x2-x1)
(0-4)/(-5-5) = -4/-10 = 2/5
Y = 2/5x + b
Plug in one point
4 = 2/5(5) + b, b = 2
Solution: y = 2/5x + 2

The equation should be [tex]y = 2\div 5x + 2[/tex]

Given that,

The points are (5, 4) and (-5, 0)

Based on the above information, the calculation is as follows:

here we need to find the slope.

[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]

Now  

Put in one point

[tex]4 = 2\div 5(5) + b, b = 2[/tex]

So,

[tex]y = 2\div 5x + 2[/tex]

Learn more: https://brainly.com/question/1301963?referrer=searchResults

The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in the
class.
What is the total number of students in Coach Sheppard's class?

Answers

Answer:

32 Students

Step-by-step explanation:

3/5 = 12/20

This means you add the boys and girls to get 32.

32!!!!!!!!!;!:!!:!!!!

pls help i'll give branliest

Answers

Answer:

50

Step-by-step explanation:

good luck!!

Answer:

50

Step-by-step explanation:

hope its correct..............

write 268 in scientific notation

Answers

Answer:

2.68 x 10 to the second power

an equation for a line with a slope of zero.

Answers

Answer:

M=0

Step-by-step explanation:

Youre welcome

Answer:

y=3

Step-by-step explanation:

Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x

Answers

Answer:35

Step-by-step explanation:

take 180 and subtract those numbers and u get ur answer

what is the function shown on this graph

A. y=3×+2.
B. y=1/3x -2.
C. y=3x-2.
D. y=-3x-2​

Answers

Answer:

I'm pretty Shure b is ur answer

4
Erin says. "There are 30 boys in my sports club (to the nearest 10) and 20 girls (to the
nearest 10), so there must be 50 pupils to the nearest 10"
Is she right or wrong?
You must show working to explain your answer.

Answers

she is right.
30+20=50. they’re estimating so it will not be far off.

5(x+3)-5
simplify this.

Answers

Answer:

5x+10

Step-by-step explanation:

Distribute:

=(5)(x)+(5)(3)+−5

=5x+15+−5

Combine Like Terms:

=5x+15+−5

=(5x)+(15+−5)

=5x+10

ANSWER ASAP FOR 35 POINTS!!
A pool has a diameter of 12 feet and a height of 2 feet. If each cubic foot holds 7.48 gallons of water, about how many gallons of water can the pool hold? Use 3.14 for pi.

A) 6764 gallons
B) 2255 gallons
C) 1691 gallons
D) 564 gallons

Answers

the answer is c 1691 gallons

Answer:

cc

Step-by-step explanation:

PLEASE HELP
Based only on the information given in the diagram, which congruence
theorems or postulates could be given as reasons why AHIJE AKLM?
Check all that apply.
А. НА
B. ASA
C. AAS
D. LL
E. HL
F. LA

Answers

Answer:

Option A and Option C

Step-by-step explanation:

Given:

IJ ≅ LM

∠J ≅ ∠M

To Prove:

ΔHIJ ≅ ΔKLM

              Statements                           Reasons

1). IJ ≅ LM                               1). Given

2). ∠J = m∠M                          2). Given

3). ΔHIJ ≅ ΔKLM                    3). By HA property Or AAS property of

                                                    congruence

Therefore, Option A and Option C are the correct options.

Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored

Answers

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems

 

Algebra

 

Expand using the Binomial Theorem (3x+2)^4

(3x+2)4(3x+2)4

Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0n⁡nCk⋅(an-kbk).

4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=04⁡4!(4-k)!k!⋅(3x)4-k⋅(2)k

Expand the summation.

4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4

Simplify the exponents for each term of the expansion.

1⋅(3x)4⋅(2)0+4

Hope this helps!

Answer:81x^4+216x^3+216x^2+96x+16

Step-by-step explanation:cause yussss

Simplify:
3-2i
-11-8i

Answers

First one
1i+1
Second
7i+4

Answer:

1i and -19i

Step-by-step explanation:

3-2=1, therefor: 1i

-11-8=-19, therefor: -19i

What is the largest positive integer that would make the
following inequality true?
5x – 3 < 17

Answers

Answer:

3

Step-by-step explanation:

5(3)-3=12 yes

5(4)-4=17 no

3

A soup can has a height of 4 cm and a radius of 3 cm

Answers

Answer:

what's the question

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

What does it mean for a line to have an undefined slope?

Answers

Answer:

it means it is a vertices line and the x coordinates never change

Step-by-step explanation:

Factor the following expression: x^2+3x

Answers

X(x+3)

I haven’t done this but hope this works

Which equation represents the function graphed on the coordinate plane?
g(x)=|x+4|-2
g(x)=|x-4|-2
g(x)=|x-2|-4
g(x)=|x-2|+4

please help me this is due in a couple of minutes!!!!!!​ please help me.

Answers

Answer: A g (x)= [x+4]-2

Step-by-step explanation:

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Which of these is part of a healthy dating relationship?OA. Mutual decision makingO B. ConfusionOC. Inability to compromiseOD. Lack of cooperation 1.Fill in the blank in the following sentence with the appropriate irregular, future tense form of the verb tener.Este ao, las clases van a ser mucho ms difciles. Nosotros ____ mucha tarea.2.Fill in the blank in the following sentence with the appropriate irregular conditional form of the verb poder.Paula y Carlos ____ ir al cine con nosotros, si no tuvieran ya otros planes Using your strengths, write a short speech convincing your principal have no school on Fridays- PLEASE HELP Based only on the information given in the diagram, which congruencetheorems or postulates could be given as reasons why AHIJE AKLM?Check all that apply. . B. ASAC. AASD. LLE. HLF. LA Juanita constructed a number line to test her brothers understanding of opposites. She tested him on all points that were labeled with letters. Her brother had trouble representing the opposite of point A.Which represents the opposite of Point A?Negative (negative 10)Negative (negative 5)0Negative (10) Tempo Company's fixed budget (based on sales of 16,000 units) for the first quarter reveals the following FixedBudgetSales (16,000 units X $211 per unit) 2184,000 Cost of goods sold Direct materials 322,000Direct labor 602,000Production supplies 392,000Plant manager salary 122,000 14,38,000Gross profit 13,76,000Selling expenses Sales commissions 112,000Packaging 210,000Advertising 100,000 422,000 Administrative expenses Administrative salaries 172,000Depreciation-office equip. 142,000Insurance 112,000Office rent 122,000 548,000Income from operations 406,000 (1) Compute the total variable cost per unit. (2) Compute the total fixed costs. (3) Compute the income from operations for sales volume of 14,000 units. (4) Compute the income from operations for sales volume of 18,000 units. Question 6 (10 points)The Washington Monument in our nation's capital is 555 ft high. Neglecting the effects of air resistance, what would be thespeed of the penny as it "hit" the ground?ObOcOd48.3 m/s-68.4 m/s84.7 m/s-57.6 m/s Which of the following statements is true about cellular respiration?A.Aerobic respiration produces substantially more ATP than anaerobic respiration.B.Anaerobic respiration produces substantially more ATP than aerobic respiration.C.Aerobic respiration occurs before glycolysis.D.Anaerobic respiration occurs before glycolysis Describe how England established territorial claims in North America. Include these terms in your answer: John Cabot, London Company, Jamestown. The best description of native North Americans before the arrival of the Europeans is that a. They lived a "hand-to-mouth" existence and just barely made a living. b. They were members of highly complex and sophisticated societies. c. They lived in a world that was biologically and culturally diverse. d. Regardless of where they lived, they all lived basically the same way. During the late 1600s, a decline in the availability of indentured servants led to what? 4) How did the Seminole Native Americans unknowingly lead to the USacquiring Florida? I need help asap :(( I'm really stuck and don't know what to right for this rough draft for Water Consumption. Write a rough draft for water consumption. I WILL MAKE U BRAINLIEST PLEASE ANSWER !!!!!!!!Venmoing if answered ANSWER PLS ! 15 POINTS! Question: If you are traveling by train and the trip is 125 miles and takes 2 hours winding through the mountains, a) whats average speed? b) how would this be different if the train in each of the following situations- Train at rest, Train traveling at constant speed in a straight line, and the Train with a braking force (the train in the middle of coming to a stop) PLEASE ANSWER ALL ASAP The ratio of boys to girls in Coach Sheppard's class is 3 to 5. There are 20 girls in theclass.What is the total number of students in Coach Sheppard's class? All of the following are characteristics of proteins EXCEPT: A They contain genetic information B They can catalyze chemical reactions. c They can transport materials. D They can repair tissues. Pencils were ordered in boxes containing 6 pencils each. The grade level has 100 students. If the teachers want to start the year with 4 pencils per student, how many boxes do they need to buy before the school year starts? Som eone g ive me motiva tion for school i fa iled every class then I d k anymore so MAny a-sigmentsanyon e else- Does anyone know how to do this Ive been trying for hours and I cant find anything to help me? Write an equation for the sentence. A pizza with 15 slices is shared equally among n students. Each student gets 3 slices.