Select the correct answer. Simon used these steps to solve an equation: Step 1: -6(x + 7) = 2(x − 11) Step 2: -6x − 42 = 2x − 22 Step 3: -8x − 42 = -22 Step 4: -8x = 20 Which property did he use to get from step 3 to step 4? A. addition property of equality B. distributive property C. subtraction property of equality D. transitive property

Answers

Answer 1

From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

What is the Addition Property of Equality?

The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.

In step 3, we have the following equation:

-8x - 42 = -22

Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.

Thus:

-8x - 42 + 42 = -22 + 42

-8x = 20

Therefore,  from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.

Learn more about addition property of equality on:

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Related Questions

Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109

Answers

7x1012 is greater by 18.56880733944954 times as much, or 18.56 if shortened

Pls Help! Which graph A,B or C?​

Answers

Answer:

Answer=C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Parallel lines hAve no solutions

Option A omitted

Two lines intersection point gives one solution only

Option B omitted

One single line denotes to infinite solutions

Option C is correct

Identify the two irrational numbers

Answers

Answer:

Your answer is in picture hope it helps

Step-by-step explanation:

Somebody please help

Answers

m∠C = 31

m∠D = 83

M∠E = 66

Hope this is helpful!

-Write a real-world situation that could be represented by the equation 12.5x + 30 = -7.5x + 90.5.

What does the variable represent?​

Answers

Answer:

Imagination

Step-by-step explanation:

12.5x + 30 = -7.5x + 90.5.

12.5x + 30 = -7.5x + 90.5.

20x =60.5

x = 3 1/5

The sales from a music event comes from x tickets sold, at $12.50 a ticket, plus a rental income fee of $30 for an advertising billboard behind the stage.

The cost of the performance includes a musician's fee of $7.50 per ticket sold, plus a $90.5 rental fee for the stage.

The equation will tell us the number of tickets, x, that must be sold to break even (Inclome on the left and expenses on the right).

We need to sell at least 3 1/5 tickets to break even.  It's going to be close.

The equation 12.5x + 30 = -7.5x + 90.5  used to determine the point in time (number of weeks) at which their combined savings and spending will equal the cost of the trip.

The equation 12.5x + 30 = -7.5x + 90.5 could represent their financial situation.

The variable "x" represents the number of weeks they have been saving money.

The term 12.5x represents the total amount of money Friend A has saved over "x" weeks at a rate of $12.5 per week.

The term -7.5x represents the total amount of money Friend B has spent over "x" weeks at a rate of $7.5 per week (which is subtracted since it's being spent).

The constants 30 and 90.5 represent initial savings and the total funds needed for the trip, respectively.

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Which of the following is NOT a true statement?

pls answer i'll give brainliest ​

Answers

Answer:

C.) AFD measures 30°

Step-by-step explanation:

it is 150 degrees

Answer:

the answer is C

Step-by-step explanation:

A)  angle EFC is 80 degrees so a is a true statement

B) angle BFC is 60 degrees and angle DFE is 30 degrees 60+30=90 so that's a true statement

D) angle AFB is 40 degrees and angle CFD is 50 degrees  40+50=90 so that a true statement

that leaves C and angle AFD is more than 30 degrees its 150 degrees

Write an inequality that has the points (-2, -6) and (4, -3) on the line and (6, -4) and (2, -4) as solutions.


(use <= or >= for ≤ or ≥

symbols and write your inequality in y=mx+b form with no spaces)


inequality=

Answers

Answer in fraction form is:    y ≤ (1/2)x - 5  or  [tex]y \le \frac{1}{2}x-5[/tex]

Answer in decimal form is:  y ≤ 0.5x - 5

You only need to pick one answer format.

========================================================

Explanation:

The drawing is below.

Let's label the four given points as A,B,C,D

A = (-2,-6)B = (4,-3)C = (6,-4)D = (2,-4)

For now, let's focus on the boundary points A(-2, -6) and B(4, -3). A straight line in the form y = mx+b passes through these points. Compute the slope.

m = (y2-y1)/(x2-x1)

m = (-3 - (-6))/(4 - (-2))

m = (-3 + 6)/(4 + 2)

m = 3/6

m = 1/2

m = 0.5

Now let's use one of those (x,y) points along with that m value to find the y intercept b. I'll use the coordinates from point A.

y = mx+b

-6 = 0.5*(-2)+b

-6 = -1 + b

-6+1 = b

-5 = b

b = -5

The equation of the boundary line is y = 0.5x-5 which is the same as saying y = (1/2)x - 5 or [tex]y = \frac{1}{2}x-5[/tex]. We can refer to this as line AB.

-------------------------------

If you were to plot all four points (A,B,C,D) on the same xy grid, then you'd find that point D is on line AB. We're told that point D is a solution to the inequality, which must mean we are going to involve "or equal to" as part of the inequality sign. This will allow points on the boundary to be part of the solution set.

Notice how point C is below line AB. Since point C is also a solution, this means we go for "less than" to shade below the boundary. Overall, the sign we go for is "less than or equal to" or in short ≤

Therefore, the inequality is y ≤ 0.5x - 5

which is the same as writing y ≤ (1/2)x - 5  or [tex]y \le \frac{1}{2}x-5[/tex]

PLEASE HELP QUESTION IN PICTURE

Answers

I think it’s B 132 because it’s an obtuse angle and those measure more than 90 degrees
It’s definitely B because ABC is a obtuse angle and B is the number above 90

Find the HCF of 18, 36 and 45

Answers

Answer:

The answer is 3240

hope it helps

can I get branliest

Kayla uses ⅙ cup of glitter for every ⅓ cup of glue to make glitter glue. Enter the number of cups of glitter Kayla uses for 1 cup of glue. LEAVE THE UNITS OFF, JUST WRITE THE NUMBER

Answers

Answer:  1/2

========================================================

Explanation:

1/6 cup of glitter is needed for each 1/3 cup of glue. We want that "1/3 cup of glue" to be "1 cup of glue". So we'll multiply each part by 3.

3*(1/6) = 3/6 = 1/23*(1/3) = 3/3 = 1

The ratio 1/6 : 1/3 updates to 1/2 : 1 to tell us that we need 1/2 cup of glitter to pair with 1 cup of glue.

Solve for x.
-8 =X/4

Answers

x = −32

lllllllllllllllllllllllllllllllllllllllllll

If the actual sale for the week is $525 and hector guessed $625, what i the percent error?

Answers

Answer:

19.0% (1dp)

Step-by-step explanation:

$625-$525=$100

$100/$525=4/21×100=19.0% (1dp)

Terry is $120 in debt. He needs to make
$140.20 in order to pay for his college books this
semester. If he wants to pay off his debt and pay
for his college books, how much money does he need to earn?

Answers

$260.20

(120+140.20)

Can someone please help me with this one this is confusing to me :’) tysm!

Answers

Answer: 125 centimeters

1,250 millimeters

Step-by-step explanation:

'centi' means hundred. 100 centimeters go into a meter.

'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.

It’s 125 centimeters or 1,250 millimeters.

1. Nimish bought a motorcycle for ₹37,690 and sold it for ₹39,100. Find his
profit or loss.

Answers

Answer:

1410

Step-by-step explanation:

Selling Price= 39100

Buying Price= 37690

Profit= Selling Price - Buying price

=39100-37690

=1410

His  profit: ₹39,100 - ₹37,690 = ₹1,410

=> [tex]\frac{1,410}{37.690}[/tex] × 100% ≈ 3.75% (than the original price)

His profit is 3.75% than the original price

ok done. Thank to me :>

Ok so how can you tell if 2 angles are complementary, vertical, or supplementary? I don't know how to tell and I have pre-algebra hw due tomorrow. ​

Answers

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

What is three minus X equals 11

Answers

Answer:

x= -8

Step-by-step explanation:

Subtract 3 from both sides to isolate the variable

Divide the variable by -1 so it can become positive; whatever you do to one side, you have to do to the other.

You'll end up with the equation of x= -8 if you do it correctly

-x=11-3 x=8 this is anwer

What is the hardest metal
if you get it right I'll give you brainliest

Answers

Answer:

is tungtset i tink not sure bout

Step-by-step explanation:

mark me brainlest plz

This figure consists of a rectangle and semicircle.
What is the area of this figure?

Use 3.14 for π.
please help ASAP!

Answers

Answer:

46.28

Step-by-step explanation:

rectangle = 10×4 = 40 ft²

semicircle = 1/2×3.14×2×2 = 6.28 ft²

area of this figure is 40+6.28 = 46.28 ft²

Starting at 1:00 P.M., the temperature changed -4 degrees per hour. How long will it take to reach -1?

Answers

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

Find the volume of the sphere. Use 3.14 for pi please help..

Answers

Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.

Answer:

V≈1.44×106

Step-by-step explanation:

hope this helps

solve similar triangles (advanced)

Answers

Answer:

x = 3/2

Step-by-step explanation:

ΔACB ≈ ΔAED due to hypotenuse-leg theorem

therefore, BC/BA = DE/AD

4/6 = 5/(x+6)

cross-multiply to get:

4(x+6) = 6(5)

4x + 24 = 30

4x = 6

x = 6/4 or 3/2

check:

4/6 = 5/7.5; the cross-products are both equal to 30

will give brainliest

Answers

Answer: x > − 4

Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.

(Try to solve b. and c. with only these resources and if you still need help, let me know.)

after sales tax a 33 dollar photo album cost 35.97 dollars. What is the sales tax percentage

Answers

Answer:

9%

Step-by-step explanation:

Set up a ratio:

[tex]\frac{33}{100}[/tex] = [tex]\frac{35.97}{x}[/tex]

Cross multiply: 33x = 35.97 * 100

33x = 3597

Divide by 33: x = 109

That means the tax is 9%.

Translate this sentence into a equation. 70 is the product of Delilah‘s age and 5. use the variables d to represents Delilah’s age

Answers

Answer:

Step-by-step explanation:

i dont know.

Solve the system of linear equations by substitution
6x-9=y
y=-3x

Answers

Answer:USE SUBSTITUTION METHOD. Algebra work right here

Step-by-step explanation:

It would be appreciated if there could be an explanation along the answer

Answers

Answer:

i think probably 80°

Step-by-step explanation:

PQ = RS

2x+3 = 4x-3

x = 3

PTQ = RTS

9y-3x-1 = 5x+7y-5

2y-8x = -4

y-4x = -2

y-4(3) = -2

y-12 = -2

y = -2+12

y = 10

so PTQ = 9y-3x-1

9(10)-3(3)-1

90-9-1

80°

Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is

Answers

Answer: €7.7

Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7

Pick the corrrect one form the dropdown

Answers

Answer:

hard

Step-by-step explanation:

you're correct

how many number of solutions does 3(x+1)+x+2=2(2x+1)+3 have pls help me out

Answers

Answer:

All real numbers (infinite solutions)

Step-by-step explanation:

To find the number of solutions, first, distribute and combine the like terms of the equation.

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

3x+3+x+2=4x+2+3

4x+5=4x+5

Since both sides of the equation are equal, the number of solutions are infinite.

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