What is the justification for step 2 in the solution process? 12 − x = 7x + 32 Step 1: -x = 7x + 20 Step 2: -8x = 20
A. the division property of equality
B.the addition property of equality
C. the subtraction property of equality
D. the multiplication property of equality

Answers

Answer 1

Answer:

C. the subtraction property of equality

Step-by-step explanation:

given

12 − x = 7x + 32

Subtract 12 from each side  using the subtraction property of equality

Step 1: -x = 7x + 20

Subtract -7x from each side using the subtraction property of equality

Step 2: -8x = 20


Related Questions

Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.

Answers

Answer:

[tex]AC=20[/tex]

Step-by-step explanation:

The line segment AC is the entire length of the line. Within this segment, point  B is found.

Point B, in a way, splits the segment into two, creating the segments AB and BC.

To find the length of AC, add the lengths of the lines AB and BC together:

[tex]AB=11\\BC=9\\AB+BC=AC\\11+9=AC\\20=AC[/tex]

The length of AC is 20.

:Done

Answer:

20 units.

Step-by-step explanation:

Segment AC is broken into two parts by point B. That means that the length of segment AB plus the length of segment BC equals the length of segment AC.

If BC = 9, and AB = 11, AC = 9 + 11 = 20 units.

Hope this helps!

What is |3| = ? -3 0 3

Answers

Answer:

3

Step-by-step explanation:

the absolute meaning of a number is never a negative number

s=(n(a_(1)+a_(n)))/(2)

Answers

Answer:

tokyo

Step-by-step explanation:

Write parametric equations of the line [tex]-4x+y=-2[/tex]

a. [tex]x=t, y=4t-2[/tex]

b. [tex]x=t, y=-4t-2[/tex]

c. [tex]x=t, y=4t+2[/tex]

d. [tex]x=t, y=-4t+2[/tex]

Answers

Answer:

Option a

Step-by-step explanation:

Assign a value to variable x =t

Eq becomes

-4t+y=-2

y=4t-2

Keenan currently does a total of 8 pushups each day. He plans to increase the number of pushups he does each day by 2 pushups until he is doing a total of 30 pushups each day. Which equation can we use to determine x, the number of days that it will take Keenan to reach his goal? In an expression

Answers

Answer:

Number of push up = 8 + 2x

Step-by-step explanation:

Keenan can do 8 push ups each day. He plans to do 2 extra day until he is doing 30 push ups. Each day he does an additional 2 push up, on the first day he does 8 + 2 = 10 push up, on the second day he does 10 + 2 = 12 push ups. This can be represented by the expression:

Number of push up = 8 + 2x

where x is the number of days.

To do 30 push ups, we can calculate the number of days needed:

30 = 8 + 2x

2x = 30 - 8

2x = 22

x = 11

Answer:

8+2x its from khan academy

Step-by-step explanation:

give person above brainliest :)

Solve. 100+[12×{20−(10÷5)}]

Answers

2000. This means yes I am not home now baby I’m sorry baby I’m just

Answer:

316

Step-by-step explanation:

please please please help me with this assignment :)

Answers

Answer:

$45.63

Step-by-step explanation:

[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]

or all together    

50,145 cm³  *  2.6 g/cm³ * 0.35/kg =  $45.63

in a 10 team league, each teams play every other team exactly twice. find the total number of games played in the league

Answers

Since it’s a 10 team league and each team plays with the other team twice then 10+10=20, thus there would be 20 games played

Addition can be defined as the process of adding two numbers. The total number of games played in the league is 90.

What is Addition?

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

Given that in a 10-team league, each team play every other team exactly twice. Therefore, the total number of games that will be played by the first team is 18, similarly, the number of games that will be played by the second team is 16.

Therefore, as mentioned above the series will continue with a common difference of -2 and will continue till 0. Thus, the total number of games played in the league is,

Total number of games = 18 + 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 = 90

Learn more about Addition:

https://brainly.com/question/13167637

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Simplify:

5x+2(3−2x)+7


x + 13

12x

9x + 13

Answers

Answer:

x+13

Step-by-step explanation:

The answer would be 1 or uh.. x+13

z3+(y2-4x) x is 6 y is 8 z is 3

Answers

Answer:

9

Step-by-step explanation:

x = 6

y = 8

z = 3

3z + (2y - 4x)

= (3)3 + (2[8] - 4[6])

= 9 + (16 - 16)

= 9 + 0

= 9

Hope this helps! Tell me if am wrong about the answer, please!

graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line

Answers

Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

b = -7

trigonometric identities help

Answers

Answer:

5/13

Step-by-step explanation:

Sin = 12/13

cos= 5/13

Tan= 12/5

it’s either A or B but idk, i’ll give brainliest :)

Answers

Answer:

Actually it's A.

Step-by-step explanation:

Identify the Mapping MNJ —> EDC

Translation
Rotation
Reflection
Glide Reflection

Answers

Answer:

The answer is rotation.

Which sets of points represent one-to-one functions?
-
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,8)}
-
g = {(1,2), (3,3), (5,4), (7,4), (9,4), (11,4), (13,4), (17,4)}
-
h = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}
-
i = {(0,1), (1,3), (3,5), (5,3), (7,4), (9,6), (11,9), (13,10)}
-
j = {(2,6), (4,16), (6,26), (8,36), (10,16), (12,56), (14,66), (16,16)}
-
k = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}

Answers

Two Answers: Function h (third choice)Function k (sixth choice, or last choice)

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

Explanation:

A function is only possible if the x values do not repeat. A relation is considered one-to-one only if the y values do not repeat. We combine the two ideas. If we want a one-to-one function, then neither x nor y can repeat.

Function f has y = 8 repeating, so it is not one-to-oneFunction g is a similar story but y = 4 repeats.Function h has all unique x values, and all unique y values. This function is one-to-one.Function i has y = 3 repeating, so it is not one-to-one.Function j has y = 16 show up more than once, so it is not one-to-one.Function k has all unique x values, and all unique y values. This function is one-to-one.

Note: if we had two points like (1,2) and (3,1), then it is still one-to-one (even though the digit 1 shows up twice). This is because the set of x values {1,3} is unique, and so is the set of y values {2,1}. We look at each set separately and not combine the two sets.

Answer:

H = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}

K = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}

explanation: PLATO/EDMENTUM

Please answer this question now

Answers

Answer:

112°

Step-by-step explanation:

Arc CD is part of arc BCD, which is intercepted by the inscribed angle A.

Based on the inscribed angle theorem on circle, the sum of arc CD and CB is twice the measure of angle A.

That is:

CD + CB = 2(129°)

CD + 146 = 2*129

CD + 146 = 258

Subtract 146 from both sides to find CD

CD + 146 - 146 = 258 - 146

CD = 112°

Paul, a dentist, determined that the number of cavities that develops in his patient's mouth each year varies inversely to the number of seconds spent brushing each night. His patient, Lori, had 4 cavities when brushing her teeth 30 seconds each night. Write the equation that relates the number of cavities, c, to the time, t, spent brushing. How many cavities would Paul expect Lori to have if she had brushed her teeth for 120 seconds each night?

Answers

Answer:

Step-by-step explanation:

Inverse variation is written as

[tex]y=\frac{k}{x}[/tex] which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then

[tex]c=\frac{k}{t}[/tex]

We are given the initial condition for which we need to solve for k:

c = 4 when t = 30:

[tex]4=\frac{k}{30}[/tex] so

k = 120.

Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:

[tex]c=\frac{120}{120}[/tex] (the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get

c = 1

Answer:

1 cavity

Step-by-step explanation:

The inverse equation is x*y=k, where x is the amount of cavities, y is the time brushed, and k is a constant number. In your scenario, x is c and y is t, but you can really use any name for the variable. In the first equation 23 have 4*30=120, which is just a constant number. now that we know our constant, we can plug is into our second equation, and we get c*120=120. By dividing both sides by 120, c=1. This means that Paul will have 1 cavity.

Pls help Q16 thx guys

Answers

Answer:

35°

Step-by-step explanation:

Extending line BC to point E on line AD

angle CED = 20° + 95°= 115°

ang|BCD|= ang|CED| + y

150°=115° + y

y= 150° - 115°

y= 35°

Answer:

y = 35°°

Step-by-step explanation:

∠BCD = 360 - 150 = 210°

Sum of angles of quadrilateral = 360°

210 + 20 + 95 + y = 360

325 +y = 360

Subtract 325 form both sides

y = 360 - 325

y =35°

please help will give you a 5 star rating

Answers

Answer:

3

Step-by-step explanation:

To find the average rate of change

f(0) - f(-2)

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

0 - -2

Taking the values for f(0) = 6 and f(-2) =0  

6 - 0

---------

0+2

6/2

3

Answer:

Slope I think its says, so: 3

Step-by-step explanation:

Take

6 = y2 , 0 = y1 , 0 = x2 , -2 = x1

y2 - y1 over x2 - x1

6-0

0+2 (because 2 is negative)

=

6/2

which reduced makes 3!

Hope this helps, and have a good day.

And for the 0 + 2:

its

0 - ( - 2 )

- ( - makes a big plus so add :)

Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works three hours a day at his first job how many hours a day does he work at his second job

Answers

Answer:

Step-by-step explanation:

Steve works:

- 60 hour per week = 12 hours per day (60/5)

- first job: 3 hours per day = 15 hours per week

- x = second job hours per day

equitation:

1st option to calculate:

12 (total hours per day) = 3 (hours per day on first job) + X

9 = X

2nd option to calculate:

60(total hours per week) = 15 (3 hours per day x 5) + x

45 = x

you need to divide 45 / 5 to get the daily hours which is 9

Please help solve both due soon

Answers

Answer:

x is 7

EF is 10

FG is 12

Step-by-step explanation:

[tex]EF + FG = EG \\ (4x - 18) + (3x - 9) = 22 \\ 7x - 27 = 22 \\ 7x = 49 \\ x = 7[/tex]

then substitute:

[tex]EF = 4x - 18 \\ EF = 4(7) - 18 \\EF = 28 - 18 \\ EF = 10[/tex]

[tex]FG = 3x - 9 \\ FG = 3(7) - 9 \\FG = 21 - 9 \\ FG = 12[/tex]

First question:

BC + BA = CA

BC = CA - BA

BC = 36 - 9

BC = 27

4 (hx - 1) -3 (x +h) ≡ 5 (x + k)
Work out the value of h and k
H and k are integer constants

Answers

Answer:

        4hx - 8x - 3h - 4

k  =  ------------------------

                  5

            8x + 5k + 4

h  =  ------------------------

              4x - 3

Step-by-step explanation:

4 (hx - 1) - 3 (x + h) = 5 (x + k)

4hx - 4 - 3 (x + h) = 5 (x + k)

4hx - 4 - 3x - 3h = 5 (x + k)

4hx - 4 - 3x - 3h = 5x + 5k                   add 3h both sides

4hx - 4 - 3x - 3h + 3h = 5x + 5k + 3h   simplify

4hx - 4 - 3x = 5x + 5k + 3h                   add 4 both sides

4hx - 4 - 3x + 4 = 5x + 5k + 3h + 4       simplify

4hx - 3x = 5x + 5k + 3h + 4                  subtract 5x from both sides

4hx - 3x - 5x = 5x + 5k + 3h + 4 - 5x   simplify

4hx - 8x = 5k + 3h + 4                          

4hx - 8x - 3h - 4 = 5k  

      4hx - 8x - 3h - 4

k  =  ------------------------

                5

solving for h;

4hx - 3h = 8x + 5k + 4

h(4x - 3) = 8x + 5k + 4

          8x + 5k + 4

h  =  ------------------------

            4x - 3

The value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively

Given:

4 (hx - 1) -3 (x +h) ≡ 5 (x + k)

open parenthesis

4hx - 4 - 3x - 3h = 5x + 5k

4hx - 4 - 3x - 3h - 5x - 5k = 0

4hx - 8x - 3h - 5k - 4 = 0

For k

4hx - 8x - 3h - 4 = 5k

[tex]k = (4hx - 8x - 3h - 4) / 5[/tex]

For h

4hx - 8x - 3h - 5k - 4 = 0

4hx - 3h = 8x + 5k + 4

h(4x - 3) = 8x + 5k + 4

[tex]h = (8x + 5k + 4) / (4x - 3)[/tex]

Therefore, the value of h and k are h = (8x + 5k + 4) / (4x - 3) and k = (4hx - 8x - 3h - 4) / 5 respectively

Read more:

https://brainly.com/question/21406377

Please Help Asap will give brainliest!!! M(9, 8) is the midpoint of side RS.The coordinates of S are (10, 10). What are the coordinates of R? No nonsense answers will report and give explanation plz.

Answers

the change in x  is 1 and 2 in y respectively

the points are in order from r (x,y)         to     m (9,8)         to   s (10,10

if we take - 1 from x and 2 from y we will get r, or (8,6)

Find the value of X
5x-6
3x+8

Answers

[tex]\\ \rm\Rrightarrow 5x-6=3x+8[/tex]

[tex]\\ \rm\Rrightarrow 5x-3x=8+6[/tex]

[tex]\\ \rm\Rrightarrow 2x=14[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{14}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=7[/tex]

X=7 airheofjsofhwifhenfiwbfowbfjwb

Can i please have help thanks.

Answers

Answer:

[tex] q = 2(3r + 8) [/tex]

Step-by-step explanation:

There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.

Thus,

[tex] q - 10 = 6(r + 1) [/tex]

Open the parenthesis

[tex] q - 10 = 6r + 6 [/tex]

Add 10 to both sides

[tex] q - 10 + 10 = 6r + 6 + 10 [/tex]

[tex] q = 6r + 16 [/tex]

[tex] q = 2(3r + 8) [/tex]

Thomas loves tomatoes. He plans to fill the container shown below with soil to grow his own tomato
plants. The dimensions of the container are shown in inches.
umi
ndo
20 in
geo
10 in-
How much soil will the container hold?
Either enter an exact answer in terms of or use 3.14 for .
inches?

Answers

Given that

Height of container is 20 inches .Radius of base is 10 inches .

To Find

Volume of container .

Formula

Volume of cylinder is πr²h

Solution

→ Volume = πr²h

Using π as 3.14

→ 3.14 × 10 × 10 × 20 = Volume

→ 314 × 20 = Volume

6280 inches² is the holding capacity of the container.

Answer:

6280

Step-by-step explanation:

this is correct on khan academy

Whats 782,835 divided by 5?

Answers

Answer:

156,567

Step-by-step explanation:

782,835 ÷ 5 = 156,567

Answer:

it is 165,567

Step-by-step explanation:

                                       

u divide

A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?

Answers

Answer=24.49 I’m not 100% sure but I believe this is the answer :)
Hope it helps

Answer:

Step-by-step explanation:

C=153.86153...

100000C=15386153.86153...

subtract

99999C=15386000

C=15386000/99999

2 π r=15386000/99999

r=7693000/99999π≈24.5

0.135 written as a fraction is _____.

27/200
5/37
27/100

Answers

Answer:

27/200

Step-by-step explanation:

To write 0.135 as a fraction you have to write 0.135 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.135 = 0.135/1 = 1.35/10 = 13.5/100 = 135/1000

Answer:

27/200

Step-by-step explanation:

your teacher tried to be tricky.

0.135 is simply 135/1000.

that is how you can express any finite decimal number.

anyway, now, we need to transform that fraction into one of the provided fractions. so, which one fits ?

with experience you see it right away. otherwise by simply trying.

in any case, the first option is the right one.

proof :

27/200 = 135/1000 ?

the denominator is our driver : what factor do I need to turn 200 into 1000 ? right, 5 ! 200×5 = 1000

so, we multiply numerator and denominator by 5 (it is important to do that for both, so that the value of the fraction does not change).

27/200 × 5/5 = (27×5) / (200×5) = 135/1000

and that is the proof. 27/200 is indeed 0.135

Find the missing value. Hint: Use the number line to find the missing value. − 7 = −7=minus, 7, equals − ( − 2 ) −(−2)minus, left parenthesis, minus, 2, right parenthesis

Answers

Answer:

The missing value is -9

Step-by-step explanation:

Given

[tex]-7 = _ -(-2)[/tex]

Required

Determine the missing value

Represent _ with a variable

[tex]-7 = x -(-2)[/tex]

Open the bracket

[tex]-7 = x -1*-2[/tex]

[tex]-7 = x + 2[/tex]

Subtract 2 from both sides

[tex]-7 - 2 = x + 2 - 2[/tex]

[tex]-9 = x[/tex]

Reorder

[tex]x = -9[/tex]

Hence, the missing value is -9

Answer:

The answer is 4=−2+6

Step-by-step explanation:

I checked on khan

Other Questions
Please answer this question now (05.05 MC) Exposing human subjects to experimental manipulations such as high levels of toxins is unethical. We often use model organisms for this reason. What attributes would you look for in selecting a good model organism for investigating the impact of toxins in humans? A good model organism should be able to be easily maintain in the laboratory, be fast growing, with a fast generation time and be as closely related to humans as possible. Cost is the only consideration in selecting a model organism, since all living things are made of cells anything found will apply to humans. The best choice will must be the very closely related to humans, such as chimps, since anything found in other species will not apply to humans. The most important consideration in selecting a model organism is how the public will feel about doing experiments on that species, so the best choice would generally be a very simple organism like bacteria that people don't care very much about. Select the correct answer. Which of Dee's actions in "Everyday Use" by Alice Walker is in line with the following description of her character? She was determined to stare down any disaster in her efforts. Her eyelids would not flicker for minutes at a time. Often I fought off the temptation to shake her. At sixteen she had a style of her own: and knew what style was. A. changing her name B. taking pictures of Maggie C. eating chitlins and collards D. marrying Hakim-a-barber E. giving the quilts to Maggie Choose the word whose stress is placed differently from that of the others.A. repair B. invite C. because D. cooking find the interest rate r when p = 800, a = 2700, and t = 3. A man borrows $200 000 to buy a sports car. He is charged a simple interest of2.88% per annum. If the loan is for 7 years, find the(a) interest payable(b) amount of each repayment if the total sum is to repaid in 84 equalinstallments. Help me please thank yall What makes Bernice Bobs Her Hair a modernist story? Select all that apply. It focuses on the concept of individual identity. It emphasizes the changing values of the time. It discusses the effects of war on modern society. It portrays a sense of disillusionment with the world. It explores the conflict of civilization and nature. determine if the equation is a linear equation -x + 3y^2=18 E-tailers, such as Amazon and Expedia, that sell products and services directly to final buyers exclusively over the Internet are known as ________. Look at this sphere:If the radius is doubled, then which of the following statements about its surface area will be true? Based on the data table below, which number would be the BEST choice for the top number of the scale on the vertical axis of a scatter plot showing this data? Triangle ABC has a height of 8 cm and an area of 42cm. Calculate the length of BC. For what values of does the equation (2 + 1)^2 + 2 = 10 6 have two real and equal roots? If Earths average surface temperature continues to change over the next 30 years at the same rate it changed between 1980 and 2010, the average temperature will most likely be around Find the measure of BEFPlease HELP ASAP Factor: 2(4-y)-j(4-y) Translate this sentence into an equation. 43 is the sum of 11 and Carlos age. Use the variable c to represent Carlos age. Find the least number which must be subrtacted from 5607 as to get a perfect square.Also find the square root of the perfect square so obtained. ( show the workings ) C'est ____ livre (mon, ma, mes)