Solve the equation, justify
each step with an algebraic
property
-(x - 6) = 4

Answers

Answer 1

Answer:

x=2

Step-by-step explanation:

Step 1_  −(x−6)=4

              −x+6=4(Distribute)

               −x+6=4

Step 2_       −x+6−6=4−6

                   −x=−2

Step 3_       −x    equals   -2

                    −1                   -1

x=2

Hope this helps :)


Related Questions

Solve to find the value for x in the linear equation: 36-4x + 5) = 12
CIE
1 Use the distributive property:
2 Use the subtraction property of equality
3. Division property of equality:
3(-4x) + 3(5) = 12
-12x + 15 = 12
- 12x + 15 - 15 = 12 - 15
-12x = -3
Intro

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given expression:

         3(-4x + 5) = 12

To solve for x;

  Use the distributive property to open the parentheses;

     3(-4x) + 3(5) = 12

      -12x + 15 = 12

 then, add -15 to both sides;

    -12x + 15 + (-15) = 12 + (-15)

            -12x  = -3

  divide both sides by -12;

        [tex]\frac{-12x}{-12}[/tex]   = [tex]\frac{-3}{-12}[/tex]

           x  = [tex]\frac{1}{4}[/tex]

The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression. ​

Answers

Answer:

2(4x+x)

Step-by-step explanation:

If 5x kilos of carrots cost php 900.00 pesos, how much is the price per kilo?​

Answers

Answer:

180 pesos

Step-by-step explanation:

divide 900 by 5

Solve the equation, justify
each step with an algebraic
property.
-2x = x – 5

Answers

Answer:

x= 1.66 repeating

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x=x−5

Step 1: Subtract x from both sides.

−2x − x = x − 5− x

−3x=−5

Step 2: Divide both sides by -3.

-3x/-3=-5/-3

Answer:

x=1.66 repeating

I’ve cram shop sold 501 cones. They sold 501 cones. They sold 1/2 as many chocolate as vanilla. Write and equation & solve the problem.

Answers

Answer:

i want some kitty Kat

What is 212 tens / 10

Answers

212 tens divided by 10 = - 4442962

Answer:

212 ones

Explaination:

If you have 212 tens and trade them all for ones, hence the ÷10, you'll get 212 ones.

subtraction property of equality​

Answers

It tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.

1. 1) Simplify the following expression: 5b - 5 - 12b - 7​

Answers

Step-by-step explanation:

Here is your answer in the screen shot please check there

A truck can be rented from Company A for ​$100 a day plus ​$0.20 per mile. Company B charges ​$40 a day plus ​$0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

Answers

Answer:

at mile 160, both will cost 300

place the following in order least to greatest

square root of 11
square root of 40
6
5​

Answers

Answer:

sqaure root of 11

5

6

square root of 40

Step-by-step explanation:

square root of 11- 3.31

sqaure root of 40- 6.32

6

5

hope this helps :)

If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.
m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =

Answers

Answer:

a.    m<1 = 105° - 63°                  m<1 = 42°

b. m<3 + m<2 + m<1 = 180°      m<3 = 75°

c. m<4 = m<1                             m<4 = 42°

d. m<5 = m<2                            m<5 = 63°

e. m<6 = m<3                             m<6 = 75°

f. m<7 = m<9                             m<7 = 105°

g. m<8 = m<6                             m<8 = 75°

h. m<10 = m<8                            m<8 = 75°

i. m<11 = m<4                               m<11 = 42°

j. m<12 = 180° - m<11                   m<12 = 138°

k. m<13 = m<11                            m<13 = 42°

l. m<14 = m<12                            m<14 = 138°

Step-by-step explanation:  Sorry if not all are correct

Applying the relationship existing between angle pairs, the measure of each angle in the image are:

m<1 = 42°

m<3 = 75°

m<4 = 42°

m<5 = 63°

m<6 = 75°

m<7 = 105°

m<8 =  75°

m<10 = 75°

m<11 = 42°

m<12 = 138°

m<13 = 42°

m<14 = 138°

Given that a || b, where:

m<2 = 63°m<9 = 105°, the missing angle measures will be determined as follows:

Find m<1:

m<1 + m<2 = m<9 (exterior interior angle theorem)

Substitute

m<1 + 63° = 105°

m<1 = 105° - 63°

m<1 = 42°

Find m<3:

m<1 + m<2 + m<3 = 180° (angles on a straight line)

Substitute

42° + 63°+ m<3 = 180°

105° + m<3 = 180°

m<3 = 180° - 105°

m<3 = 75°

Find m<4:

m<4 = m<1 (vertical angles theorem)

Substitute

m<4 = 42°

Find m<5:

m<5 = m<2 (vertical angles theorem)

Substitute

m<5 = 63°

Find m<6:

m<6 = m<3 (vertical angles theorem)

Substitute

m<6 = 75°

Find m<7:

m<7 + m<6 = 180° (corresponding angles theorem)

Substitute

m<7 + 75° = 180°

m<7 = 180° - 75°

m<7 = 105°

Find m<8:

m<8 = m<6 (alternate interior angles theorem)

Substitute

m<8 =  75°

Find m<10:

m<10 = m<6 (corresponding angles theorem)

Substitute

m<10 = 75°

Find m<11:

m<11 = m<4 (alternate interior angles theorem)

Substitute

m<11 = 42°

Find m<12:

m<12 = m<6 + m<5 (alternate interior angles theorem)

Substitute

m<12 = 75° + 63°

m<12 = 138°

Find m<13:

m<13 = m<11 (vertical angles theorem)

Substitute

m<13 = 42°

Find m<13:

m<14 = m<12 (vertical angles theorem)

Substitute

m<14 = 138°

Learn more here:

https://brainly.com/question/24607467

Answer plsssssssssssssss

Answers

Answer:

i can't see the full question

Step-by-step explanation:

Step-by-step explanation:

Okay, so we know that exponents mean a number times itself.

Numerator: 4x4x4x4x4x4x4= 16,384

Denominator: 4x4x4x4x4= 1,024

Now, since it is a fraction, we divide the two.

16,384/1,024= 16

Thus, your answer is 16 ;)

Amy regularly works 20 hours per week at Smiths Dry
Cleaners Monday through Friday. She earns $10.10 per
hour and receives double-time pay for working nights. This
week Amy worked her regular 20 daytime hours plus an
additional 8 nightime hours.
What will her total pay be for the week? Round your answer
to the nearest cent.
$

Answers

15.50 x 20 = $310

31 x 8 = $248

310 + 248 = $558

Her total pay for the week is $558.

Hope you got a good grade!!! :)

someone help me im gonna fail science plsfjidkl

Answers

Answer:

it is either 23 or 24 its kinda hard to tell.

Step-by-step explanation:

Answer:

15 degrees

Step-by-step explanation:

Yo ! I need help serious

Answers

Answer:

$400

Step-by-step explanation:

If you go to the left of the graph from the line, it gets you to 400.

Answer:

$400

Step-by-step explanation:

Which of these values could be the slope of the line? Select two options.

–2

0

3

Answers

Answer:

3

Step-by-step explanation:

The slope is positive since it goes from the bottom left to top right so 3 is the only choice

Answer: 3

Step-by-step explanation:

The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).

factor 2x^2 - 7x = 0

Answers

Answer: x=3.500

Step-by-step explanation:  product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

   2x-7 = 0  

Add  7  to both sides of the equation :  

                     2x = 7

Divide both sides of the equation by 2:

                    x = 7/2 = 3.500

the value of f(2) for the function f(x)=2x+1

Answers

-1/2, subtract 1 from each side then divide by 2

Solve for the solution: 2m+1≥7

Answers

Answer:

m≥3

Step-by-step explanation:

Answer:

m≥3

Step-by-step explanation:

-2 2/3 - (- 1/3) =
.......

Answers

Do you want this simplified?

El radio de la rueda de una bicicleta mide 30cm ¿cuanto avanza la bicicleta en cada vuelta?

Answers

Respuesta certificada por un experto
Si sabemos que la rueda de la bicicleta tiene 30 cm de radio, entonces... 10.000 m ÷ 1,885 m = 5.305,03 vueltas aproximadamente.

e is 5 more than d.
f is 7 less than d.
Work out
e-f
Simplify your answer.

Answers

Answer:

12+2d

Step-by-step explanation:

e=5+d

f=d-7

e-f = 5+d-(d-7)

e-f = 12+2d

The solution of expression e - f is,

⇒ e - f = 12 + 2d

We have to given that,

e is 5 more than d.

And, f is 7 less than d.

Hence, It can be written as,

e is 5 more than d.

⇒ e = 5 + d

And, f is 7 less than d.

⇒ f = d - 7

So, We get;

e - f = (5 + d) - (d - 7)

Combine like terms,

e - f = 12 + 2d

Therefore, The solution of expression e - f is,

⇒ e - f = 12 + 2d

Learn more about the mathematical expression visit:

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#SPJ2

Help!!!! I don’t really understand sloped so any help would be helpful.

Answers

Answer: The slope is -2.

Step-by-step explanation:

Since the line is going through the origin it means that if you find a point on the line and divided the y coordinate of point by it's x coordinate then you will get the slope or the constant change value.

The equation of a proportional line says that  y = kx  where k is the slope.

And to find k, you will divide y by x.

One point that is located on the line is  (-1,2)  The y coordinate is 2 and the x coordinate is -1.

Divide 2 by -1 to find the slope.

2/-1= -2  

This means the slope is -2.

The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?

Answers

Answer:

anor soi sena orka uzumo senda?

You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52. How much does each item cost?

Answers

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]

from (i), [tex]x=84-4y-2z[/tex]    (*)

put this in (ii) and (iii) we get

[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]

from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]

[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]

[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]

[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]

[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]

[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]

[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Use the Distributive Property and mental math to find the product. 5 x 49 8 x 56

Answers

Answer:

The answer is 139,440

Step-by-step explanation:

5x498x56=139,440

−24 − (18 ÷ 6) × (−12)

Answers

Answer:

12

Step-by-step explanation:

Answer:

The expression is equal to 12.

Step-by-step explanation:

[tex]-24-(18 / 6)*(-12)[/tex]

First of all, compute the parenthesis.

18 / 6 = 3

Now, replace 18/6 with 3 in our expression.

[tex]-24-(18 / 6)*(-12)[/tex]

[tex]-24-(3)*(-12)[/tex]

Next, compute the multiplication.

-12 * 3 = -36

Again, we'll replace that multiplication with negative 36:

[tex]-24-(3)*(-12)[/tex]

[tex]-24-(-36)[/tex]

Since subtracting a negative number is the same as adding a positive number:

[tex]-24-(-36) = -24+36[/tex]

Compute the addition:

[tex]-24+36=12[/tex]

[tex]-24-(18 / 6)*(-12) = 12[/tex]

Answer: The expression is equal to 12.

Mr. Lee had 45 friction books. He gave 2 books to each
student. He has 1 remaining book. How many students does he
have?

Answers

Answer:

He has 22 students

Step-by-step explanation:

45 divided by 2 is 22 with 1 left over

A 5 minute overseas call costs $5.91 and a 10 minute call costs $10.86. The cost of the call and the length of the call are related. What is the cost, c, of a call in minutes duration?

Answers

Answer:

For one minute it costs $1.18 so you would just multiply $1.18 by any number to find out how much money is spent for minuets,

Step-by-step explanation:

Can you guys please help me with this math problem

Answers

Answer: I believe that its the second one, the third one, and the fifth one. Have a great day and good luck!

Step-by-step explanation:

Answer:

the first isnt true, the second is true, the third fourth and fifth are correct and the sixth is false

Step-by-step explanation:

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