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

The cost of 2.25
pounds of grapes is
$6.75. The cost of 5
pounds of grapes is
$15. Find the slope in
dollars per pound.

Answers

Answer:

Hope this helps! <3

Step-by-step explanation:

The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)

Rajesh gave ½ of his provident fund to his wife, ¼ to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000. What was the amount of provident fund ?​

Answers

1/2 was for his wife so 1/2 was left
from the 1/2, 1/4 went to the son so 1/4 was left
1/4 was divided to two brothers which are 1/8 for each brother --> 1/8 = 10000
therefore 10000 *8 = 80000 = 100% of the fund
Answer:  Rs 80000

This is the number 80 thousand

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

Explanation:

1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.

In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.

Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.

Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000

Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.

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

Checking the answer:

original fund amount = 80000

1/2 of 80000 = 40000 is the amount the wife gets

1/4 of 80000 = 20000 is the amount the son gets

That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.

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

Another method using algebra:

x = original amount of the fund

W = x/2 = 2x/4 = half of the fund = amount wife gets

S = x/4 = quarter of the fund = amount the son gets

W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4

W+S represents the sum of the wife's and son's amounts.

We'll subtract this from the original amount x to find out what's left

x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4

This shows that 1/4 of the fund is left over after distributing to the wife and son.

The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000

So,

x/8 = 10000

x = 8*10000

x = 80000

The original fund is worth Rs 80000

Help me solve these

Answers

Answer:

hello  you need to tell me the equation not the worksheet

Step-by-step explanation:

put b for everything‍️

What do I need to know?
I need help on this question please

Answers

Answer:

i cant see the Q

Step-by-step explanation:

h(x) = x^2 - 5x +7
Find h(-5)

Answers

Answer:

57

Step-by-step explanation:

h(-5) = (-5)^2 - 5(-5) + 7

h(-5) = 25 + 25 +7

h(-5) = 57

Answer:

[tex]\bold{h(-5)=57}[/tex]

Step-by-step explanation:

Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]

[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]

[tex]-5^2 - 5(-5) +7[/tex]

PEMDAS order of operations

Parenthesis

[tex]\bold{-5\times(-5)}\\=25[/tex]

[tex]-5^2+25 +7[/tex]

Exponents

[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]

[tex]25+25 +7[/tex]

Addition

[tex]25+25+7\\=50+7\\=57[/tex]

Therefore, [tex]\bold{h(-5)=57}[/tex].

What is the length of EF in the right triangle below?

Answers

I think it would be A.

Answer:

A.24

Step-by-step explanation:

EF=√(25)²-(7)²

EF=√625-49

EF=√576=24

Coffee then:45 calories Coffee now:270 calories what is the percent of increase

Answers

Answer:

611.111 repeating

Step-by-step explanation:

Take 270 and divide it by 45 and then move the decimal point 2 times over to the right to make it a percent.

Answer:

+600%

Step-by-step explanation:

[tex]\frac{270}{45} =\frac{x}{100} \\270x100=45x\\27,000=45x\\\frac{27,000}{45} =x\\x=+600%[/tex]

hope that helps!

STUDY
1. Simplify the expression below
5p + 14p
4(x - 2) + 6x
2. Evaluate

Answers

Answer:

(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.

Step-by-step explanation:

Answer:

5p + 14p= 19p

4 (x-2)+6x

4x-8+6x

10x-8

A box has 30 pencils in it.the probability of picking a red pencil is 1/6.How many red pencils are in the box

Answers

Answer:

[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]

Step-by-step explanation:

Total pencils = 30

Probability of picking a red = 1/6

Red pencils in the box = probability × total pencils

= 1/6 × 30

= 5 red pencils

So, there are 5 red pencils in the box.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Find the height of the building below by using your knowledge of trigonometry.

Answers

Answer:

50[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The figure represents a 30-60-90 special triangle

in this special right triangle the measure of sides lengths is represented by

a, a[tex]\sqrt{3}[/tex], and 2a

The side length that sees angle measure 30 is represented by a and here we see a = 50m

The height of the building, which sees angle measure 60, is equal to

50[tex]\sqrt{3}[/tex]

please help I give you 30 points

Answers

Answer:

The last one,  14 3/4

Step-by-step explanation:

I hope this helped :)

Giải phương trình: 2x + x + 12 =0

Answers

Answer:

x = - 4

Step-by-step explanation:

Or 3x +12=0

Please help me , correct answer will get brainiest!

Answers

answer is probably just 4

4/1 rise over run

A system of two linear equations has one solution. One of the equations is y = 2x + 25. Which could be the other equation? A y = 2x + 25 B y = –2x – 25 C y = 2x – 25 D y = 2x

Answers

Answer:

B.  y = -2x-25 These lines will intersect

Step-by-step explanation:

y = 2x+25  Which line has one solution to this equation:

A.  y = 2x+25   [This is the same line!  The solutions are infinite.]

B.  y = -2x-25 [These lines will intersect.  They'll meet at the corner of -12.5th and Zero streets (-12.5,0)]

C.  y = 2x-25  [Same slope, 2.  They, also, will never meet.  Pity]

D.  y = 2x [OMG.  Didn't parallel lines ever get the message.  Get with the slope and focus on the bliss of intersection.]

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

[Extra Credit]

y = 2x + 25

y = –2x – 25

-----------

y = 2x + 25

y = -2x - 25

2y =  0

y = 0

--

y = 2x + 25

0 = 2x + 25

2x = -25

x = -12.5

The single solution is (-12.5,0)

If system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

A system of two linear equations has one solution.

One of the equations is y = 2x + 25

We need to find the other equation which has one solution

y = 2x+25  

This is the same line

The solutions are infinite.

y = -2x-25

These lines will intersect.

The other equation is y = –2x – 25 because this equation is interacting with y = 2x + 25

Hence, if system of two linear equations has one solution. One of the equations is y = 2x + 25 then y = –2x – 25 is the other equation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Simplify the expression:
10v + -5 + 7

Answers

Answer:

10v + 2

Step-by-step explanation:

Answer:

10v + 2

Step-by-step explanation:

Ok, so when were adding varibles, whenever theres the same varible, we add them. In this case we have v and numbers. -5+7 is 2 because -5 and positive 5 cancel eachother out so were left with 2 from the 7. now the equation is 10v+2!

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: Rectangles ABCD and A prime B prime C prime and D prime are shown. A is at negative 1, 2. B is at negative 1, 5. C is at negative 3, 5. D is at negative 3, 2. A prime is at 2, 1. B prime is at 5, 1. C prime is at 5, 3. D prime is at 2, 3. What transformation did Kim perform to create rectangle A'B'C'D'? Rotation of 270 degrees counterclockwise about the origin Reflection across the line of symmetry of the figure Reflection across the yâ€axis Rotation of 90 degrees counterclockwise about the origin.

Answers

Rotation of 270 degrees counterclockwise about the origin.

The transformation rule for Rotations of 270 degrees counter clockwise is (x, y) —> (y, -x).

Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.

Given that,

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

We have to determine,

What transformation did Kim perform to create rectangle A'B'C'D'?

According to the question,

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

Transformation involves changing the position of the given shape.

The transformation on rectangle ABCD to A'B'C'D' is (a) rotation of 270 degrees counterclockwise.

The coordinates of ABCD are given as:

A (1, -2),

B (-1, 5)

C (-3, 5)

D (-3, 2)

The coordinates of A'B'C'D' are given as:

A (2, 1),

B (5, 1)

C (5, 3)

D (2, 3)

The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.

And the proof is as follows.

The rule of 270 degrees counterclockwise about the origin is:

The given coordinates;

A (2, 1) - (-1, 2)

B (5, 1) - (-1, 5)

C (5, 3) - (-3, 5)

D (2, 3) - (-3, 2)

Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.

For more details about Rotation refer to the link given below.

https://brainly.com/question/10624834

Could someone help. Please show work

Answers

Answer:

x=-2  and y=5

x=-1 and y=4

Step-by-step explanation:

hope tha work

1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? ​Plzz help me

Answers

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg

Can you please help me with this question

Answers

Answer:

y = 1/2x-3

Step-by-step explanation:

y=mx+b, where m is slope and b is y-int and x and y are variables.

y = 1/2x-3

Plot your point at (8,1) and then use your slope and rise 1 go over 2 then draw your line.

Hope that helps

Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC

Answers

Answer:

Perimeter of ΔABC: [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] units

Area of ΔABC: [tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] units

Skills required: HS Geo, Special Triangles

Step-by-step explanation:

1) The best option is to break down this triangle. Let's draw an altitude from Point B down to Segment AC. The point from the altitude that intersects AC is Point D. BD is the height of our triangle, AC is the base.

2) Angle A is 60 degrees, and since Angle BDA is 90 degrees, Angle ABD is 30 degrees. We can use the 30-60-90 degree right triangle property for the triangle BDA.

This states that if the side opposite the 30 degree angle is [tex]x[/tex], the side opposite the 60 degree angle is [tex]x*\sqrt3[/tex], and the side opposite the 90 degree angle is [tex]2x[/tex].

AB is 9 units, and it is opposite the 90 degree angle. This means that [tex]2x=9, x = \frac{9}{2}[/tex] ==> This then means that AD, the segment opposite the 30 degree angle in this triangle is [tex]\frac{9}{2}[/tex] units. Segment BD (the height) is [tex]\frac{9}{2} * \sqrt3[/tex].

3) Angle C is 45 degrees, and Angle BDC is 90 degrees, which means that Angle CBD is 45 degrees. We can use the 45-45-90 degree right triangle property for the triangle BCD.

This states that if the side opposite the 45 degree angle is [tex]x[/tex], the other side opposite a 45 degree angle is also [tex]x[/tex], but the hypotenuse (side opposite the right (90 degree) angle) is [tex]\sqrt{2}*x[/tex].

BD is [tex]\frac{9}{2} * \sqrt3[/tex], which means DC is the same. BC, which is the hypotenuse is BD multiplied by square-root-2, which is [tex]\frac{9}{2} * \sqrt6[/tex].

4) Area is [tex]\frac{1}{2}*b*h[/tex], the base (b) is AC (which is [tex]\frac{9}{2}+\frac{9}{2}*\sqrt3[/tex]), the height is BD ([tex]\frac{9}{2}*\sqrt3[/tex]). When multiple you will get [tex]\frac{81}{4}*\sqrt3 + \frac{243}{4}[/tex], then this multiplied by 1/2 is

[tex]\frac{81}{8}*\sqrt3 + \frac{243}{8}[/tex] <--> this is the area!

5) Perimeter is just the sum of all side: 9 + [tex]\frac{9}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] = [tex]\frac{27}{2}[/tex] + [tex]\frac{9}{2} * \sqrt6[/tex] unit

Given the graph below, write an equation in slope-intercept form.

Answers

y=3x+2

The slope is how much it goes up, it goes up 3, over 1 which makes a fraction 3/1 which is 3

The y-intercept is 2 because that’s the y value when x is 0

Hope this helps!!

Which is the graph of 2x + 3y > -3
Graph: C

Answers

graph c is correct becausw
Graph c because is the best answer

the graph of the function f is shown above. what is limx→2f(x)

Answers

The value of y as x tends to 2 is infinity since the curve progresses to infinity at this point that is [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Find the graph attached. From the graph, we can see that the range of the function is the values along the y-axis and is from the minimum point on the curve (y = -2) to infinity

The range of the given graph in interval notation will be expressed as R = 2≤y<∞ or y ≥ 2.

Note that 2 is included since the circle on the value of 2 is shaded.

From the graph, we can deduce that the value of y as x tends to 2 is infinity since the curve progresses to infinity at this point.

Therefore we can conclude that [tex]\lim_{x \to 2} f(x) = \infty[/tex]

Learn more on the limits of a function here: https://brainly.com/question/23935467

5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.


Answers

Answer:

10 - (-2) = 12, 10 + 2 = 12

Step-by-step explanation:

10 - (-2) = 12

10 + 2 = 12

can someone help me with this quickly

Answers

Answer:

Step-by-step explanation:

 y - y0 = m(x - x0)

y - (-8) = (-1/2)(x - 4)

 y + 8 = (-1/2)x + 2

 y = (-1/2)x - 6  or  (1/2)x + y = -6

I need help with this

Answers

Answer:

a and b

Step-by-step explanation:

What is the equation of the line that passes through the point (8,-4) and has a slope of 3?

Answers

Answer: The equation of a line that passes through the point (8,-4) and has a slope of 3 is y = 3x - 28.

Explanation:

y = -4, x = 8

By putting above values in equation (i)

-4 = 3 (8) + b

-4 = 24 + b

-28 = b

b = -28

y = 3x - 28

Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store. She paid Rs. 95 in all. Some ink fell on the bill that she got from the store. So the price of 1 notebook cannot be seen from the bill.What is the price of the one notebook?

Answers

The price of the one notebook will be Rs. 10.6

Let the price of one notebook be x.

If Haseena bought 1 pencil box, 4 pencils and 4 notebooks from a store, with a total of Rs. 95 paid in all, then;

1x + 4x + 4x = 95

9x = 95

x = 95/9

x = 10. 6

Hence the price of the one notebook will be Rs. 10.6

Learn more on ratio here: https://brainly.com/question/20346769

an arrow is shot vertically upward from a platform 18ft high at a rate of 184ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0. (Round your answer to the nearest tenth.)

Answers

Answer:

h(t) = -16t2 + 184t + 18

at the ground h = 0

hence;  -16t2 + 184t + 18 = 0  

solving this quadratic equation using the quadratic formula ; a = -16, b = 184, c = 18 ; x = (-b +-(b2 - 4ac)1/2)/2a

gives t = 11.597 seconds and rounded to the nearest tenth, t = 11.6 (note that the negative root has no practical significance)

Step-by-step explanation:

Anita is making balloon bouquets for her school's autumn dance. She uses 3 orange balloons and 2 green balloons in every bouquet.
Pick the diagram that models the ratio in the story.
If Anita uses a total of 15 orange balloons, how many green balloons should she use?

Answers

Answer:

i think 10

Step-by-step explanation:

you multiply 3*5=15 and 2*5=10

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