Charlotte wants to solve the equation 6(2x+1) – 3 = 4x – 5. Which step would be an appropriate first step for Charlotte to take to solve for x? I need help!!!

Answers

Answer 1

Answer:

6(2x+1) – 3 = 4x – 5

Firstly multiply

12x + 6 -3 = 4x-5

12x - 4x = -5-3

8x = -8

x =-1

Answer 2

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.

What is an equation?

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.

To learn more about equations :

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Related Questions

if i weigh 210 and i need to loose 5 pounds a month in 6 months what is my end weight

Answers

That would be 180 cuz you lose a total of 5 pounds per 6 months so30 pounds. Then 210 minus 30 is 180

If u=18, x=−10, and y=8 what is the value of u+xy?

Answers

Answer:

u+xy=18+(-10)8

=18-80

= -62

hey how do i solve this problem i’m clueless and don’t know how to do it. if you can could you explain it please?

Answers

(6g^4h^5)^2. We have to square each term individually. Remember, squaring an exponent is just multiplying the exponents together.

6^2 = 36

(g^4)^2 = g^8

(h^5)^2= h^10

The final answer: 36g^8h^10

-x^2 where x = -5
algebra 2

Answers

Step-by-step explanation:

if if you put x equals to -5

it becomes -(-5)^2 which is equal to -25

Answer:

-25

Step-by-step explanation:

1) The equation is -(-5)^2

2) When you square a negative number, it will be a positive

3) So in this equation it would be -(25)

4) However, there's another negative sign in front.

5) So the answer therefore is -25

Hope this helps!

In the figure below, points A, E, F, and C lie in plane X.
Points B and D do not lie in plane X.
For each part below, fill in the blanks to write a true statement.
B
(a) FC and
are distinct lines that intersect.
A.
X
C
E
F
(b) B. I, and I are distinct points that are collinear.
(c) Another name for plane X is plane I.
(d) E, I, I, and I are distinct points that are coplanar.

Answers

Answer:

a) FC ←→ and BD ←→ are distinct lines that intersect.

b) B , C and D are distinct points that are collinear.

c) Another name for plane [tex]X[/tex] is plane AEF.

d) E , A , F and C are distinct points that are coplanar.  

Step-by-step explanation:

The first step to solve this question is to look carefully at the picture.

For a) :

We can see that the line FC and the line BD intersect at the point C.

We can write :

a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→  or AE ←→).

For b) :

We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).  

We can write :

b) B , C and D are distinct points that are collinear.

For c) :

We can name any plane using three points which are contain in the plane but this three points must not be collinear points.

We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).

We can write :

c) Another name for plane [tex]X[/tex] is plane AEF.

Finally, for d) :

Two or more points are coplanar wherever they belong to the same plane.

In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].

We can write :

d) E , A , F and C are distinct points that are coplanar.

Please answer the question and give an explanation. Will give brainliest.

Answers

Step-by-step explanation:

By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.

This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.

So z = 3.2 (1 d.p.)

Step-by-step explanation:

x=4.2

y=2.7

z=x

(×+y=×

(4.2+2.7=×)

×=6.9

3(6-f)-4=3f-4
Solve for f

Answers

Answer:

 3=f

Step-by-step explanation:

3(6-f)-4=3f-4

18- 3f=3f-4

14-3f=3f-4

14=6f-4

18=6f

3=f

Answer:

f=3

Step-by-step explanation:

Let f(x)=2x-5 and g(x)=x^2
Perform the function operation (f-g)(x)

Answers

Answer:

2x - 5 - x²

Step-by-step explanation:

note (f - g)(x) = f(x) - g(x), thus

f(x) - g(x)

= 2x - 5 - x²

Help me please!!! Find the distance between the points (-3,-1) and (5,-1)

Answers

Answer:

D = 8

Step-by-step explanation:

[tex]d= \sqrt{(5-(-3))^2+(-1-(-1))^2} \\d= \sqrt{(8)^2+(0)^2} \\d= \sqrt{64+0} \\d= \sqrt{64} \\d= 8[/tex]

A is the midpoint of BC.
BA = 3x+8
AC=23.
solve for x

Answers

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

Since A is the midpoint of BC, A divides BA and AC equally.
Therefore, BA=AC.
Since BA=AC,
3x+8=23
Or, 3x= 23-8
Or, 3x= 15
Or, x=15/3
Therefore, x=5.
Ans: x=5.

HELP ME PLS HELP FAST DIE IN 5 MIN

Answers

i think the answer is 121 cm^2

Answer:

158 cm2

Step-by-step explanation:

surface area = (6×5)+2(8×5)+(8×6) = 158 cm2

5 (n - 14) =2 (n + 14)​

Answers

Answer:

n= 98/3

Step-by-step explanation:

1. Complete distributive property *5(n-14)* and *2(n+14)*

5n-70=2n+28

2. Subtract 5n from both sides

-70=-3n+28

3. Subtract -70 from both sides

-98=-3n

4. Divide the variable from both sides *-3n*

-98/-3

5. Simplify

98/3

Final Answer:

98/3

6(1 + 5n) − 6n = 174

Answers

Answer:

N=7

Step-by-step explanation:

1. Distribute the 6 into the parentheses

6+30n-6n=174

2.combine like terms

6+24n=174

3. Subtract 6 on both sides

24n=168

4.now divide

24/24 cancels out 24/168 is what 7 soooo

n=7

6(x – 1) = 9(x + 2) solve for x

Answers

It’s -8 the answer for your question

2p +5q = 21
3p-2q=-16

Answers

Answer:

p =− 2

q = 5

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

p =− 2

q = 5

Answer:

q = 5

p = -2

Step-by-step explanation:

I'm gonna use elimination

2p + 5q = 21  Multiply 3 ------> 6p +15q = 63

3p - 2q = -16  Multiply 2 -------> 6p -4q = -32

 6p +15q = 63

 6p -4q = -32                                                                                                                  -__________

19q = 95

q = 5

To find P use any of the equations and substitute q to 5

3p -2(5) = -16

3p -10 = -16

3p = -6

p = -2

The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.

Answers

Answer:

1.5<x<4 i hope this is right sorry if its not

Step-by-step explanation:

Answer:

b

Step-by-step explanation:


1. There are 4 quarters in 1 dollar.
a) Shades 1/2 of a dollar.
b) How many cents is 1/2 of a
dollar?

Answers

25 cents you dumb stupid child
there are 50 cents in 1/2 of a dollar.

There are 28 butterflies in the garden. Some are blue and some are yellow. If b represents the number of blue butterflies in the garden, which expression represents the number of yellow butterflies in the garden?

Answers

Answer:

y = 28 - b

Step-by-step explanation:

you can find the number of yellow butterflies, y, by subtracting the number of blue butterflies, b, from the total number of butterflies which is 28.

I need help with this solving equations X + 9 = -16

Answers

Answer:

Step-by-step explanation:

x + 9 = -16

Subtract 9 form both sides

x + 9 - 9 = - 16 - 9

x = -25

Answer:

X= -25

Step-by-step explanation:

Subtract 9 from both sides.

8 + 4x = 2x + 8 + 2x

Answers

Answer:x=0

Step-by-step explanation:

Answer:

0 = 0

True

Step-by-step explanation:

[tex]8 + 4x = 2x + 8 + 2x[/tex]

Collect like terms

[tex]8-8 =2x+2x -4x\\[/tex]

Simplify

[tex]8-8 =0\\2x+2x =4x\\4x -4x =0\\\\0=0[/tex]

4+10=-2(8x-7) this dosent make any sence to me. can someone help me out

Answers

Answer: x=0

Step-by-step explanation:

(you are trying to find x)

4+10=-2(8x-7)

2+5=(8x+7)

7=(8x+7)

0=8x

x=0

Pls rate this brainliest

The lengths of the sides of a triangle are consecutive integers. If the perimeter of the triangle is 111, find the lengths of the sides.

Answers

Answer:

we know

perimeter of triangle = sum of all sides

here lengths of sides are consecutive integers so

length  of three sides = x, (x+1) and (x+2)

now

Perimeter = 111

or,  x + (x+1) + (x+2) = 111

or 3x + 3 = 111

or 3x = 108

x = 36

x = 36

(x+1) = 36 + 1 = 37

(x+2)= 36 + 2 = 38

On a number line, suppose point E has a coordinate of -2, and EG = 13. What are the possible coordinates of point G

Answers

Some possible coordinates for G are 11 or -15

5 degrees below zero

Answers

Answer:

5 degrees below zero = -5 degrees

5 degrees below zero would just simply be -5

how does a triangular prism look

Answers

Answer:

its like a 3d rectangle triangle

Step-by-step explanation:

yes

if f(x) = 5x -1 find f(1)

Answers

f(1)= 5(1)-1

f(1)= 5-1

f(1)= 4

Answer: 4

The answer will be 4
F(1)=5(1)-1
F(1)=4

If h = -19 and j = 16, what is
[tex] \sqrt{j - h} [/tex]

Answers

Add 16 and 19 in the root.
Answer is root of 35.

Answer:

[tex]\sqrt{35}[/tex]

Step-by-step explanation:

h =-19

j =16

[tex]\sqrt{j-h} = ?[/tex]

Substitute values into the given equation

[tex]\sqrt{16-(-19)} \\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=\sqrt{16+19}\\\\\mathrm{Add\:the\:numbers:}\:16+19=35\\\\=\sqrt{35}[/tex]

Evaluate the following expression for x = 4.


1+3(x-1)-2x

Answers

Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

Find the domain and range of the following absolute value functions. fx)=|x-1|+2 I’ll mark brainliest to whoever answers first

Answers

Answer:

Domain is All Real x.

Range is f(x) ≥ 2.

Step-by-step explanation:

The vertical lines about the x - 1 means the Absolute value ( always positive).

|x - 1| will always be positive or 0 and it's graph is  shaped like a V with the vertex at (1, 0)

The + 2 will move the graph up 2 units so the vertex becomes (1, 2).

True Or False The Solution to an equation is the ONE number that makes it true.

Answers

false, a solution can be multiple numbers

Answer:

True.

Step-by-step explanation: If you substitute the solution into the original equation, it is the only number that will make the equation balanced or have an equal value on both sides of the equals sign.

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