On highway 77, the Dobson exit is halfway between the Mt. Airy exit and the Elkin exit. If the Elkin exit is located at (-5,-2) and the Dobson exit is located at (-1,4), how far is it from the Elkin exit to the Mt. Airy exit.

Answer:

6(2x+1) – 3 = 4x – 5

Firstly multiply

12x + 6 -3 = 4x-5

12x - 4x = -5-3

8x = -8

x =-1

The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =

Now the given equation is,

6(2x+1) – 3 = 4x – 5

So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,

12x + 6 – 3 = 4x – 5

or, 12x + 3 = 4x – 5

Taking alike terms together we get,

12x - 4x = – 5 - 3

Solving we get,

8x = -8

Dividing both side by 8 we get,

x = -1

which is the required solution of the given equation.

Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.

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Answer:

X= -50

Step-by-step explanation:

Subtract 7 from both sides then multiply by 5.

X/5 =-10

5 x -10 = -50

So x= -50

Answer:

[tex] \boxed{ \bold {\huge{ \text{30 \: cm}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \underline{ \: \: Given}}}[/tex]

Area of a rectangle ( A ) = 36 cm²

Width of a rectangle ( w ) = 3 cm

[tex] \star{ \sf{ \underline{ \: \: To \: Find}}}[/tex] :

Perimeter of a rectangle ( P ) = ?

First, finding the length of a rectangle ( l ) :

[tex] \boxed{\text{area \: of \: a \: rectangle = length ∗ width}}[/tex]

[tex] \dashrightarrow{ \sf{36 = length \times 3}}[/tex]

[tex] \dashrightarrow{ \sf{36 = 3 \: length}}[/tex]

[tex] \dashrightarrow{ \sf{3 \: length = 36}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{3 \: length}{3} = \frac{36}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{length = 12 \: cm}}[/tex]

Length of a rectangle = 12 cm

Now, finding the perimeter of a rectangle having length of 12 cm and width of 3 cm

[tex] \boxed{ \text{perimeter \: of \: a \: rectangle = 2(l + w)}}[/tex]

[tex] { \sf{perimeter \: of \: a \: rectangle = 2(12 + 3)}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 2 \times 15}}[/tex]

[tex] \dashrightarrow{ \sf{perimeter \: of \: rectangle = 30 \: cm}}[/tex]

Perimeter of a rectangle = 30 cm

Hope I helped!

Best regards! :D

Answer:

(10/100)*94.9 = 9.49

Step-by-step explanation:

Divide by 100 and multiply by 100-5.1 = 9.49

Answer:

work is attached and shown

Answer:

2

Step-by-step explanation:

a negative x negative is always a positive

a negative x positive is negative

a positive x positive is negative

Answer:

x=-12

Step-by-step explanation:

4 = -8 - x

First, step +8 to get it to the other side of the question, then it will be 12 = -x

to get x move the negative to the other side x = -12

Can i have brainly please

Answer:

ten billionths place

Step-by-step explanation:

Answer: 21c + 100d

Hope this helps!

Answer:

21c^2-60c-35cd+100d

Step-by-step explanation:

use foil method

(3c-5d)(7c-20)

21c^2-60c-35dc+100d simplify

21c^2-60c-35cd+100d nothing to simplify here

Answer:57/100

Step-by-step explanation:

First, convert 3/10 into hundreths to get a denominator equal to the other:

3/10 km = 30/100km

Add the numerators: 27+30=57

Place numerator over common denominator: 57/100

Answer:

3+2x

Step-by-step explanation:

Distribute the equation out.

1/4(12+8x)

(1/4*12)+(1/4*8x)

Multiple those out to get a new equation

3+2x

You cannot add those together because of the variable. Theres no way of knowing what x equals so this is as far as you can go therefor making the answer 3+2x

Answer:

6.784 × 10¹⁰

Step-by-step explanation:

→ First count the number of 0's

0000000 = 7 zero's

→ Count how many decimal places until a single digit

6.784 = 3 decimal places

→ Add the number of zero's with the decimal place's

7 + 3 = 10

6.784 × 10¹⁰

Answer:

6.784 times 10^10

Step-by-step explanation:

Hopes this helps :)

Can I pls get a brainliest

Answer:

Step-by-step explanation:

x  - the miles to travel

467+x  - the main odometer after x miles travel

22+x   - the trip odometer after x miles travel

2(22+x)    - two times the trip odometer after x miles travel

2(22+x) = 467 + x

44 + 2x = 467 + x

     - 44       -44

     2x = 423 + x

    -x       -x

     x = 423

Answer:

how far you've driven

Step-by-step explanation:

Answer:

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

All real numbers are solutions.

Step-by-step explanation:

Step 1: Subtract 2c from both sides.

2c + 3 − 2c = 2c + 3 − 2c

3 = 3

Step 2: Subtract 3 from both sides.

3 − 3 = 3 − 3

0 = 0

All real numbers are solutions.

Answer:

67

Step-by-step explanation:

Answer:

The mean absolute deviation is 1

Step-by-step equation =

Take all of the numbers and add them together.

4+1+2+1+0+1= 9

Then divide by how many numbers there are. In this word problem its 6.

Divide 9 by 6.

9 ÷ 6 = 1.5

So 1.5 would be our mean.

To find the mean absolute deviation subtract our mean and our original numbers.

1.5 - 4 = 2.5

1.5 - 1 = 0.5

1.5 - 2 = -0.5

1.5 - 1 = 0.5

1.5 - 0 = 1.5

1.5 - 1 = 0.5

Add all of those numbers together.

2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6

Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative

Divide by the amount of numbers you added.

6 ÷ 6 = 1

So the mean absolute deviation is 1

I also took the test that had 10 questions and got a 100

I'm pretty late to answer but hope this helps for others in the future

I learned this like a week or less ago so my explanation might not make the most sense.

Answer: The answer is b

Step-by-step explanation:

Answer:

um 2207 times 15 is 33105

Answer:

no

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

I hope this helps!

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

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Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5 x 5 = 25

Answer:

65 feet = L

Step-by-step explanation:

set up equation

P = 2L + 2W

plug in W

214 = 2L + 2(42)

multiply

214 = 2L + 84

subtract 84

130 = 2L

divide by 2

65 = L

Answer: A

Step-by-step explanation:

Your investing for your future so it will investment asset

Answer:

0.07

Step-by-step explanation:

Answer:

a)$29.25

b)7hours

comments if you need an explanation

Answer:

Part A: 29.25

Part B: 7 hours

Step-by-step explanation:

Part A :

6.50 times 4.5 equal 29.25

Part B:

45.50 divided by 6.5 equal 7

hopefully this helps you :)

pls give me brainlest :)

Answer:

Step-by-step explanation:

Erika: y = 35x + 100

Ly: y = 60x + 25

60x + 25 = 35x + 100

25x + 25 = 100

25x = 75

x= 3 weeks

Erika: y = $35(3) + 100= 105 + 100 = $205

Ly: 60(3) + 25 = 180 + 25 = $205

Answer:

8- option 4

9- option 2

10-option 1