Simplify using combining like terms: 3a + 6 + 2a - 8

Answers

Answer 1

Answer:

a = 2

Step-by-step explanation:

Simplifying

3a + 6 = 2a + 8

Reorder the terms:

6 + 3a = 2a + 8

Reorder the terms:

6 + 3a = 8 + 2a

Solving

6 + 3a = 8 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.

6 + 3a + -2a = 8 + 2a + -2a

Combine like terms: 3a + -2a = 1a

6 + 1a = 8 + 2a + -2a

Combine like terms: 2a + -2a = 0

6 + 1a = 8 + 0

6 + 1a = 8

Add '-6' to each side of the equation.

6 + -6 + 1a = 8 + -6

Combine like terms: 6 + -6 = 0

0 + 1a = 8 + -6

1a = 8 + -6

Combine like terms: 8 + -6 = 2

1a = 2

Divide each side by '1'.

a = 2


Related Questions

Can someone help me make sense of the problem. Provide an explanation and answer if at all possible

Answers

Answer:

  1.728×10¹⁵

Step-by-step explanation:

You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).

An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.

  10 = 1 × 10

  100 = 1 × 10 × 10 = 1 × 10²

__

Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).

Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)

The product will be ...

  (5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)

  = 17.28 × 10¹⁴

  = (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left

Adding that extra zero into the count we already have, this becomes ...

  = 1.728×10¹⁵

_____

Additional comment

Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.

Or, you can use a spreadsheet with appropriate output cell formatting.

Answer:

1.728×10¹⁵ is the answer

PLEASE HELP QUESTION IN PICTURE

Answers

because these triangles share two congruent sides, the third will also be congruent.
set the equations equal to each other.
4x + 8 = 7x - 4
then combine like terms
-3x = -12
then divide to isolate the x
-12/-3 = x
4 = 4
you can then plug it in to both sides to see if it is equal/correct
4(4) + 8 = 7(4) -4
16 + 8 = 28 - 4
24 = 24

if x and x/4 are a pair of supplementary angles find angles​

Answers

[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]

what is _ percent of 100 is 14

Answers

Answer:

It should be 14 percent.

Step-by-step explanation:

14 percent is just 14/100, which if you multiply by 100 gives you 14.

14%

Step-by-step explanation:

Whenever you have anything over 100 (e.g 40/100) that number is always gonna be 40. Like multiplying by 1. 9*1 is 1. Assume the 9 is 90 and assume the 1 is 100. It's always gonna be the numerator instead of the denominator.

Mark me brainliest if you can

The volume of a cylinder is 600 pi cm cubed. The diameter of a base of the cylinder is 10 cm. What is the height of the cylinder?

Answers

Answer:

V = B * H      area of base * height

B = pi * (D / 2)^2 = pi * 5^2 = 78.5 cm^2

H = V / B = 600  cm^3 / 78.5 cm^2 = 7.64 cm

PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?

Answers

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Mark as brainliest

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8

Answers

Answer:

  {5, 6, 7}

Step-by-step explanation:

The solution to the inequality is ...

  16 -r > 8 . . . . . given

  16 -8 > r . . . . . add r-8

  8 > r . . . . . . . simplify

The values in the replacement set that are less than 8 are {5, 6, 7}.

Which mathematical statement represents “17 more than a number is 26”?
17 greater-than 26
n + 17 = 26
17 less-than 26
26 + n = 17

Answers

Answer:

n + 17 = 26

Step-by-step explanation:

Let's replace the sentence with mathematical terms:

17 more than a number is 26

More than means addition. The answer will also be a sum.

17 + a number is 26

Since the number is not specified, it will be represented by a variable. In this instance, the variable is n.

17 + n is 26

The equal sign will replace the word "is".

17 + n = 26

Now, we can use the associative property of addition.

17 + n = 26 into n + 17 = 26

Which mathematical statement represents “17 more than a number is 26”?

Answer:

n + 17 = 26  

Step-by-step explanation:

17 more than a number means that you are adding 17 to a number (n) to equal 26.

If you take 17 away from each side you get n = 9

9 + 17 = 26 is a true statement so the equation is correct.

numbers in order from least to greatest?

35%, 3/5, 0.27, 2/7

Answers

Answer:

0.27, 2/7, 35%, 3/5

Step-by-step explanation:

Please help I’ll mark brainliest

Answers

Answer:

y= 2, x= -1   (-1, 2)

Step-by-step explanation:

y= x + 3

y= -x+1

substitute y= -x+1

-x + 1 = x + 3

isolate x

-x + 1 = x + 3

x + 1 - x = x + 3 - x

After isolating x you'll get x = -1

for y= - x + 1

y= - (-1) + 1

simplify y = 2

solution:

y= 2, x= -1   (-1, 2)

does anyone know how to do this?? thank you for your help

Answers

Answer:

substitute 1 for t

Step-by-step explanation:

PLEASE HELP 40 POINTS PLSSSSSSSS
The graph shows the relationship between pounds of dog food and total cost in dollars for the dog food.
which statements about the graph is are true?
A Point shows the cost is $0 for 0 pound of dog food
B Point 10.5 shows the cost is $1 for 0.5 pound of dog food
C. Point 2. 1 shows that 2 pounds of dog food cost $1.
D. Point 2) shows the cost is $4 tor 2 pounds of dog food
E Point 10. shows that 10 pounds of dog food costs $5

Answers

Answer:

Point C

Step-by-step explanation:

Trust me it is correct

make me brainiest because I answered first pls

Can some help me i don't understand how to do this math!!

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{(x-2)^{2} } -\frac{x}{(x-2)(x-1)} = \frac{x^{2}-x-x^{2} +2x }{(x-2)^{2}(x-1) }[/tex]

? = 2x -x = x

A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?

Answers

Answer:

3,052 cubic inches

Step-by-step explanation:

·· A beach ball has a spherical shape

·· Formula to calculate the volume of a sphere is given as:  

In the question, we are given

Diameter = 18 inches

We have to find the radius

Radius = Diameter/2

Radius = 18 inches/2

Radius = 9 inches

The volume of the beach ball =  

= 3,052.08 cubic inches

Approximately to the nearest whole number = 3,052 cubic inches

a toy rocket is launched from the top of a 48 foot hill. the rockets initial upward velocity is 32 feet per second and its height (h) at any given second (t) is modeled by the equation : h= -16t^2 + 32t +48.
Find the highest point the rocket reaches. show your work

Answers

Answer:

Maximum height is 64 feet

Step-by-step explanation:

For all: h= -16t²+ 32t + 48

1) AOS -> a = -16; b = 32; c = 48

x = -b/2a -> x= -32/(2×-16) = -32/-32 = 32/32 = 1/1 = 1

2) Plug in AOS

h = -16(1)² + 32(1) + 48

h= -16 + 32 + 48

h= 16 + 48

h= 64

Max height is 64

The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)

Answers

Answer:

rectangle

Step-by-step explanation:

u can use a graph paper

Simplify to create an equivalent expression.
2-4(5p+1)}2−4(5p+1)

Answers

Answer:

-8-60p

Step-by-step explanation:

Step-by-step explanation:

there are some things missing or have been mistyped.

I assume the following basic expression :

(2 - 4(5p + 1))×2 - 4(5p + 1)

4 - 8(5p + 1) - 20p - 4

-8(5p + 1) - 20p

-40p - 8 - 20p

-60p - 8

4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
one minute?
A. 1 block
30
B. block
7.5
765-30.5775
C. 4 blocks
D.) 5 blocks

Answers

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25

What is the height of the box?
A. 15 in.
B. 30 in.
C. 50 in.
D. 100 in.

Answers

The answer is d 100 inches

Complete the table for the given rule.

Rule: y=x-1/4

Answers

The answers would be 0,3, and 1 3/4

A line passes through (-3, -2) and is perpendicular to 3x - 2y = 7.

What is theFind the image of A(6, -4) after it is reflected over the line y = - 2, then reflected over the line x = 1.

(-4, -4)
(-4, 0)
(6, 2)
(-4, 6)

Answers

I think is it (-4,6) is the answer

What is m<1?

60
120
66
114

Answers

Answer:

60 Is the correct answer

Answer:

114

Step-by-step explanation:

all angles of a triangle add up to 180

180-80-34 = 66

66 is the angle right next to 1

180 degrees will be the product of both of those angles

180-66 = 114

114 degrees

2. There is a 0% chance that the earth is the closest planet to the sun.
A) unlikely
B) certain
C) likely
D) impossible

Answers

Answer:

D) Impossible

Step-by-step explanation:

Unlikely = < 50%Certain = 100%Likely = > 50%Impossible = 0%

This would be B. It is certain that there is a 0% chance of the earth being the closest planet to the sun. Mercury is the closest. Earth is the third closest behind Mercury and Venus. Hope that helps.

someone please help, will give branliest

consider a sequence with the common difference of 5 and whose fiftieth term is 259. what are the first three terms of this sequence?

A- 15,20,25
B- 13,18,23
C- 9,14,19
D- 14-19,24
E- 10,15,20

Answers

The answer is C (9,14,19)

John drove 30 miles to work each day.He moved closer too work and now he drives 18 miles to work each day what percentage did the number of mile john drove decrease

Answers

Answer:

40 i think

Step-by-step explanation:

HELP ME PLEASE I NEED HELP WITH THIS

Answers

Answer:

V = 82,406.16 cm³

Step-by-step explanation:

Volume of a sphere

V = 4πr³/3

V = 4•3.14•27³/3

V = 247,218.48/3

V = 82,406.16 cm³

find the total amount due on a loan of $5000 for eight years and 10% simple interest

Answers

Answer:

170years

Step-by-step explanation:

R/100=2.5%

time= 100=0.025 per year (1/0.025) (5200\1000)-1=168

time=168 years

If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?

Answers

The value of a28 given a11 = 23 and a15 = −5 is -96

Given:

a11 = 23

a15 = −5

Where,

a1 = first term

d = common difference

a11 = a + 10d = 23

a15 = a + 14d = -5

a + 10d = 23 (1)

a + 10d = 23 (1)a + 14d = -5 (2)

subtract (1) from (2) to eliminate a

14d - 10d = -5 - 23

4d = -28

d = -28 / 4

d = -7

Substitute d = -7 into (1)

a + 10d = 23 (1)

a + 10(-7) = 23

a - 70 = 23

a = 23 + 70

a = 93

So,

a28 = a + 27d

= 93 + 27(-7)

= 93 + -189

= 93 - 189

= -96

Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96

Learn more about arithmetic sequence:

https://brainly.com/question/6561461

help me please ^^ I'm getting my grades to all A's for a honerole

Answers

Answer:

A

Step-by-step explanation:

HELP ME ON MY GEOMETRY PLEASEEEEE

Answers

Answer:

A

Step-by-step explanation:

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