10 (1/2x+2)-5=3(x-6)+1

Answers

Answer 1

Answer:

x = -16

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

10(1/2x + 2) - 5 = 3(x - 6) + 1

Step 2: Solve for x

Distribute:                                   5x + 20 - 5 = 3x - 18 + 1Combine like terms:                   5x + 15 = 3x - 17Subtract 3x on both sides:         2x + 15 = -17Subtract 15 on both sides:         2x = -32Divide 2 on both sides:              x = -16

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     10(1/2(-16) + 2) - 5 = 3(-16 - 6) + 1Multiply:                                10(-8 + 2) - 5 = 3(-16 - 6) + 1Add/Subtract:                       10(-6) - 5 = 3(-22) + 1Multiply:                                -60 - 5 = -66 + 1Subtract/Add:                       -65 = -65

Here we see that -65 does indeed equal -65.

∴ x = -16 is the solution of the equation.


Related Questions

If anyone help me with my entire test I’ll mark you brainliest

Answers

I think that the answer is C










A machinery was bought at RS 60,000.Its value is depreciated at the rate of 5% per annum. Find its value after one year.​

Answers

Answer:

Rs57,000

Step-by-step explanation:

If its value depreciates at 5%p.a then only 95% of the original value(100%) is left.

Therefore its value=95/100×Rs60000=Rs57,000

The distinct lines​ a, b,​ c, and d are in the same plane. Tell how a and d relate. Justify your answer.

Answers

Answer:

c  

Step-by-step explanation:  

There a is parallel to d because a is perpendicular to c and c is parallel to d which is the correct answer that would be option (C).

What is the coplanar?

A group of points that are coplanar, or a planar surface that extends endlessly in all directions, are all located on the same plane. Four or more points may or may not be coplanar, however, any two or three points are always coplanar.

The distinct lines​ a, b,​ c, and d are in the same plane.

a⊥b, bllc, and clld

Line a is perpendicular to line b, line b is parallel to line c, and Line c is parallel to line d which is given in the question.

Line a is perpendicular to line b (given)

Line b is parallel to line c (given)

Line c is parallel to line d (given)

Thus, Line a is parallel to line d

Therefore, a is parallel to d because a is perpendicular to c and c is parallel to d.

Hence, the correct answer would be an option (C).

Learn more about the coplanar here:

brainly.com/question/5191807

#SPJ2

which translation is demonstrated in the figure

Answers

Translation is made “4 to the right and 4 down”

⚠️NEED HELP ASAP!!!!!⚠️
What value of y makes lines DB and CE parallel?
A.)116
B.)14
C.)6
D.)5

Answers

Answer:

C

Step-by-step explanation:

9y-1=180-127

9y-1=53

9y=54

y=6

Answer: B

Step-by-step explanation:

Each day, you run on a treadmill for r minutes and lift weights for 15 minutes. Which expressions can you use to find how many minutes of exercise you do in 5 days?
Explain your reasoning. there's two answers

They are both expressions with r as the variable.

They are not equivalent expressions.

They are equivalent expressions.

Both expressions contain the terms 5, r, and 15.

Answers

Answer:

5(15+r)= however many minutes 5*r is

or (5*15)+(r*15)

Step-by-step explanation:

The Measurements of Two Sides of a Triangle are 14 Inches and 18 Inches. Which two Lengths could be the measurements of the third side of the triangle?

3 inches
4 inches
5 inches
31 inches
32 inches

Answers

Answer:

d

Step-by-step explanation:

Evaluate the following expression 2 x 1 + 2 x 4.​

Answers

Answer:

2 × 1 +2 × 4= 10

Step-by-step explanation:

because 2×1 is 2 and 2×4 is 8 then you add them and get 10

Evaluate the expression.
-2x + 3y; x = 3, y = 4

Answers

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

-2x + 3y

x = 3

y = 4

Step 2: Evaluate

Substitute:                    -2(3) + 3(4)Multiply:                        -6 + 12Add:                              6

HEY YOU!! PLEASE I NEED HELPPP

find angle BAC and angle FAB

Answers

Answer:

m∠BAC = 105°

m∠FAB = 75°

Step-by-step explanation:

By using the property of an exterior angle of a triangle,

Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.

From the triangle given in the picture,

m∠ABC + m∠BCA + m∠CAB = 180°

(13x - 3)° = (3x + 2)° + 55°

13x - 3 = 3x + 57

13x - 3x = 57 + 3

10x = 60

x = 6

m∠FAB = (13x - 3)° = 75°

m∠ABC = (3x + 2)° = 20°

Since, ∠BAC and ∠FAB are the linear pair of angles,

m∠BAC + m∠FAB = 180°

m∠BAC + 75° = 180°

m∠BAC = 180° - 75° = 105°

The following table shows claim amounts and their probabilities for an insurance company that offers homeowners’ insurance policies. Calculate the expected claim amount. That is, on average, how much will the insurance company have to pay in claims per policy holder?

$2250

$5000

$7500

$3250

Answers

the answer is $5000.

You buy rice at $0.71 a pound. One batch of rice requires 7 pounds of rice. How much does the rice for one batch cost? Round to the nearest cent

Answers

Answer:

4.97 or 5 dollars

Step-by-step explanation:

so basically just times them together

Valerie bought a 9 ft piece of ribbon from which she wants to cut into 2/3 ft pieces. How many 2/3 ft pieces can
Valerie cut?

Answers

Answer:

Valerie can cut 13 2/3 ft pieces.

Step-by-step explanation:

Please brainliest!

which expression represnts the product of 2xy and 3xy+5y-xy^2

Answers

Answer:

You distribute the 2xy and get

2xy(3xy + 5y - xy^2) = 6(x^2)(y^2) + 10xy^2 - 2(x^2)(y^3)

Which expression can be used to find 25 percent of 88?

Answers

Answer:

25 percent of 88 is 25/100* 88 = 22

Step-by-step explanation:

find the common difference of the following arithmetic sentence​

Answers

Answer:

-1/4

Step-by-step explanation:

-1/2+1/4=-1/4-1/4+1/4=00+1/4=1/41/4+1/4=1/2

But in reality, it is going from positive to negative, so the answer is -1/4.

Answer:

-1/4

Step-by-step explanation:

please help asap!!!!

Answers

Answer:

A reflection across the line x = -1

Step-by-step explanation:

A reflection along the line x = -1 carries the trapezoid onto itself.

Can anyone help solve for x? It’s additional maths so i can’t use a graphing calculator. Please explain steps

Answers

Answer:

x= 5/8 or x=3

Step-by-step explanation:

Please see the attached picture for the full solution.

Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:Y=2x-6

Step-by-step explanation:

Factor by grouping

2xy + 4x + 3y + 6

Answers

Answer:

15xy

Step-by-step explanation:

This is past due I need help will give brainlist

Answers

Answer:

A

Step-by-step explanation:

Your answer is A hope this helps! Have a great day!

What is 3 and 4/5÷2/5 in the simplest form

Answers

Answer:

The answer is 19/2.

Step-by-step explanation:

Alternatives are 9 1/2 and 9.5.

Brainliest? Thanks!

Answer:

3 and 2/5

Step-by-step explanation:

because when it says divide it means take away and the denominator is the same so it stays the same

Find the range of the function y=1/2x+3

When the domain is -2,0,2,4

Answers

1) y=1/2(-2)+3= 2
Y=1/2(0)+3=3
Y=1/2(2)+3=4
Y=1/2(4)+3=5

3(x + 1) + 2(x + 5)
Whats the answer to this

Answers

Let's simplify step-by-step.

3(x+1)+2(x+5)

Distribute:

=(3)(x)+(3)(1)+(2)(x)+(2)(5)

=3x+3+2x+10

Combine Like Terms:

=3x+3+2x+10

=(3x+2x)+(3+10)

=5x+13

-70+45+x=100
I need this right away!

Answers

Answer:

x=125

Step-by-step explanation:

Combine like terms on left side firs/ this use the addition dist property
-35+x=100
-35+x+35=100+35
X=135

please help me will mark brainliest

Answers

The answer is 5.6 I hope this helps

find the missing side and round to the nearest tenth

Answers

Answer:

Do you have any numbers?

What is the answer to -12 = 4(f-6)

Answers

Answer:

Step-by-step explanation:

-12 = 4(-6 + f)

-12 = (-6 * 4 + f * 4)

-12 = (-24 + 4f)

-12 = -24 + 4f

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Add '-4f' to each side of the equation.

-12 + -4f = -24 + 4f + -4f

Combine like terms: 4f + -4f = 0

-12 + -4f = -24 + 0

-12 + -4f = -24

Add '12' to each side of the equation.

-12 + 12 + -4f = -24 + 12

Combine like terms: -12 + 12 = 0

0 + -4f = -24 + 12

-4f = -24 + 12

Combine like terms: -24 + 12 = -12

-4f = -12

Divide each side by '-4'.

f = 3

Simplifying

f = 3

Hope helps you

7th grade what is the tone, or mood in the beginning of the play? "A christmas carol"

A- Violent and frighting
B- Dark and gloomy
C- Silly and sentimental
D- Loving and festive ​

Answers

Answer:

C

Step-by-step explanation:

C

C is thy answer I just took the quiz

complete the last four terms by dragging the missing value to correct locations in the expression​

Answers

Answer:

Brainly does not have the correct answer listed as a choice - it should be [tex]2187y^{14}[/tex]

Step-by-step explanation:

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