10. Han is solving an equation. He took steps that are acceptable but ended up with
equations that are clearly not true.
5x + 6 = 7x + 5 - 2x original equation
5x + 6 = 7x - 2x + 5 apply the commutative property
5x + 6 = 5x+5
combine like terms
6 = 5
subtract 5x from each side
What can Han conclude as
result of these acceptable steps?
A. There's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.
B. Any value of x can make the equation 5x + 6 = 7x + 5 - 2x true.
C. x = 6 is a solution to the equation 5x + 6 = 7x + 5 – 2x.
D. x = 5 is a solution to the equation 5x + 6 = 7x + 5 – 2x.

Answers

Answer 1

Answer:

There's no value of x that can make the

equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Step-by-step explanation:

5x + 6 = 7x + 5 - 2x

5x + 6 = 7x - 2x + 5

5x + 6 = 5x+5

substract 5x from each side

5x-5x+6=5x+5-5x

6 = 5

This conclude that the sides of the equation are not equal.

i.e. L.H.S ≠ R.H.S

We know that when L.H.S ≠ R.H.S, then there is no solution of that equation as no x value can satisfy the equation.

Therefore, there's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.


Related Questions

Matt has started a car washing business to save
money for college. Each week, he washes 3 more
cars than he did the week before. Matt started by
washing 6 cars his first week in business.

Write a explicit formula that can be used to find the number of
cars he washed on any given week.

A = 6+3n
B = 6(3n-1)
C = 6+3(n-1)
D = 3+6(n-1)

Answers

Answer:

A) =6+3n

Step-by-step explanation:

helppp i need answer now will give points

Answers

Answer:

f(g(3)) = 3

Step-by-step explanation:

We are told to solve for f(g(3)). This is also saying f of g of 3.

To find f(g(3)), we need to plug 3 in for x in g(x), since it says g(3).

g(x) = 3(3) - 4

Solve.

= 9 - 4

g(x) = 5

Now, we plug that into f(x), because g(x) was placed inside f and replaces the x variable of f(x).

f(5) = 2(5) - 7

Solve.

= 10 - 7

f(5) = 3.

f(g(3)) = 3

#teamtrees #WAP (Water And Plant)

The price of a technology stock has dropped to $9.61 today. Yesterday's price was $9.74. Find the percentage decrease.
Round your answer to the nearest tenth of a percent.
HELP I NEED THIS
If you can write the explanation out and how you got it!!!!!!!!

Answers

Answer:

1.33%

Step-by-step explanation:

$9.74 - $9.61 = $0.13

(0.13 divided by $9.74) times 100

=1.33%  

Jasper's care, solve the problem if you dare:
List in order from least to greatest:
-8, 0, -1, -3, 1, 2, -10, -4

Answers

Answer:

-10,-8,-4,-3,-1,0,1,2

Step-by-step explanation:

i did it

-10 < -8 < -4 < -3 < -1 < 0 < 1 < 2

If m <2 = 120', what is m<7?

Answers

m<7=120'

Step-by-step explanation:

m<2 = m<6 because m and l are parallel and m<6 =m<7 because they are vertically opposite angles (v.o.a)

Answer:

m<7=120

Step-by-step explanation:

2 and 7 are alternate exterior angles and because l and m are parallel lines then m<2=m<7

Based on the work shown on the left, what is the simplest form of StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot ?

Answers

Answer:

It's A

Step-by-step explanation:

The simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

What is Equation?

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

The given equation or expression is √(250c³/9d⁶)

StartRoot StartFraction 250 c cubed Over 9 d Superscript 6 Baseline EndFraction EndRoot

This can be written as √250c³/√9d⁶

The numerator 250c³ can be written as twenty five times of c square times of ten times of c 25c²×10c and denominator can written as 3d³

√ 25c²×10c/3d³

The square root of 25 is 5

5c√ 10c/3d³

Hence, the simplest form of √250c³/√9d⁶ is 5c√ 10c/3d³

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The points in each table lie on a line. Find the slope of the line.

O 1/2
O 1
O 2
O None of the above

Answers

Answer:

1

Step-by-step explanation:

Given table:

     x      -1    1   3   5

     y      -2   0   2  4

Unknown:

Slope of the line  = ?

Solution:

Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;

  Slope  = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]  

 let us take;

x₁ = -1        x₂ = 3

y₁ = -2        y₂ = 2

Insert the parameters and solve;

   Slope = [tex]\frac{2 - (-2)}{3- (-1)}[/tex]   = [tex]\frac{4}{4}[/tex]   = 1

The slope of the line is 1

Subtract the following using horizontal method
i.)2x from-5x
ii.)-5a from 18a

Answers

Answer:

[tex] \huge{ \boxed{ \text{ i. \: \ - 7x}}}[/tex]

[tex] \huge{ \boxed{ \text{ii. \: 23a}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Question : Subtract the following using horizontal method :

i. 2x from -5x-5a from -18a

Step - by - step Explanation :

2x from -5x

In horizontal method , terms are arranged in same row and put sign for subtraction and remove the brackets and then simplify.

[tex] \longrightarrow{ \sf{ - 5x - (2x)}}[/tex]

[tex] \longrightarrow{ \sf{ - 5x - 2x}}[/tex]

Like terms can be added or subtracted. Only coefficients of like terms can be added or subtracted.

[tex] \longrightarrow{ \boxed{\sf{ - 7x}}}[/tex]

Likewise , Let's do next too:

-5a from 18 a

[tex] \dashrightarrow{ \sf{ 18a - ( - 5a)}}[/tex]

Remember : [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]

[tex] \dashrightarrow{ \sf{ 18a + 5a}}[/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ 23a}}}[/tex]

And we're done!

Hope I helped!

Have a wonderful time ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

i)-7x ii)23a

Step-by-step explanation:

i)U well get -5x-2x, after solving, u well get -7x since all is negetive. ii)U well get 18a-(-5a) which u well get 18a+5a whict is equal to 23a

To avoid a service​ fee, your checking account balance must be at least ​$400 at the end of each month. Your current balance is ​$432.993. You use your debit card to spend ​$119.86. What possible amounts can you deposit into your account by the end of the month to avoid paying the service​ fee?

Answers

Given :

To avoid a service​ fee, your checking account balance must be at least ​$400 at the end of each month.

Your current balance is ​$432.993.

You use your debit card to spend ​$119.86.

To Find :

What possible amounts can you deposit into your account by the end of the month to avoid paying the service​ fee.

Solution :

Amount left in the account :

A = $432.993 - ​$119.86

A = $313.133

Let, amount added is x.

So,

A + x ≥ 400

x + 313.133 ≥ 400

x ≥ 400 - 313.133

x ≥ 86.867

Therefore, possible amount needed is greater than or equal to $86.867 .

Hence, this is the required solution.

helppp messsss please

Answers

The answer is the first one
Comment if you need a better explanation :)
The first answer is correct

rewrite the equation by completing the square x^2-2x+1=0

Answers

Answer:

(x-1)^2=0#

Explanation:

#x^2-2x+1=0#

Let's start by subtracting #1# from both sides so that the #x# terms are isolated:

#x^2-2x=-1#

Now, let's compute #(b/2)^2# and add it to both sides of the equation:

#(b/2)^2=(-2/2)^2=1#

#x^2-2x+1=-1+1#

Let's factorize the left hand side and simplify:

#(x-1)(x-1)=0#

#(x-1)^2=0#

Solve the equation for x.​

Answers

Answer:

x = 5

Step-by-step explanation:

4(x-1)/8 = 2(x+2)/7

7*4(x-1) = 8*2(x+2)

28(x-1) = 16(x+2)

28*x + 28*-1 = 16*x + 16*2

28x - 28 = 16x + 32

28x - 16x = 32 + 28

12x = 60

x = 60/12

x = 5

Check:

4(5-1)/8 = 2(5+2)/7

4*4/8 = 2*7/7

16/8 = 2*1 = 2

230% of what number is 92

Answers

Answer:

250

Step-by-step explanation:

Following shows the steps on how to derive this formula

Step 1: If 92% of a number is 230, then what is 100% of that number? Setup the equation.

230

92% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

92Y = 230 x 100

92Y = 23000

Y = 23000

100 = 250

What is  

230

% of  

92

? = 250

Answer:

250

Explanation:

230 x 100 ÷ 92 =250

A 150-foot fence encloses a garden.What is the length of each side of the garden.

Answers

Answer:

15 ft 45 ft 30 ft 60 ft

Step-by-step explanation:

My grandparents have four grandchildren. The product of the ages of the four grandchildren is 67 184. The youngest grandchild is younger than 10, and is also 30 years younger than the oldest grandchild. Determine all possibilities for the ages of my grandparents’ grandchildren.

Answers

Answer:

lets say they are a,b,c,d

a*b*c*d=67184

a<10

a=d-30

also bear in mind that b and c are in between

the rest is just trial and error as long as you satisfy all those equations above

Step-by-step explanation:

I’m not smart but I guessed 40

HELP ASP ON KITCHEN MATH !!!

Shortbread Cookies Makes about 3 dozen cookies 3/4 shortening 1/2 t salt 9/4 granulated sugar I 1/2 t baking soda 1/4 eggs 2 c. cake flour 1/2 vanilla extract food coloring 1/4 butter flavoring
How make 6 dozens cookies

Answers

Answer:

6 Dozen

Shortening: 6/4

Granulated Sugar: 18/4

Beaten Eggs: 2/4

Vanilla Extract: 2/2

Butter Flavoring: 2/4

Salt: 2/2

Baking Soda: 6/2

Cake Flour: 4

Food Coloring x 2

Step-by-step explanation:

6 ÷ 3 = 2

3 Dozen

Shortening: 3/4

Granulated Sugar: 9/4

Beaten Eggs: 1/4

Vanilla Extract:1/2

Butter Flavoring: 1/4

Salt: 1/2

Baking Soda: 3/2

Cake Flour: 2

Food Coloring

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

Shortening: 3/4 x 2

Granulated Sugar: 9/4 x 2

Beaten Eggs: 1/4 x 2

Vanilla Extract: 1/2 x 2

Butter Flavoring: 1/4 x 2

Salt: 1/2 x 2

Baking Soda: 3/2 x 2

Cake Flour: 2 x 2

Food Coloring x 2

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

6 Dozen

Shortening: 6/4

Granulated Sugar: 18/4

Beaten Eggs: 2/4

Vanilla Extract: 2/2

Butter Flavoring: 2/4

Salt: 2/2

Baking Soda: 6/2

Cake Flour: 4

Food Coloring x 2

6 Dozen cookies make with;

The amount of Shortening = 3/2

The amount of Salt = 2/2 = 1

The amount of Granulated Sugar = 9/2

The amount of Baking Soda = 6/2 = 3

The amount of Beaten Eggs = 1/2

The amount of Vanilla Extract = 1

The amount of Cake Flour = 4

The amount of Food Coloring = 1

The amount of Butter Flavoring = 1/2

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

For, 3 Dozen cookies we use;

The amount of Shortening = 3/4

The amount of Salt = 1/2

The amount of Granulated Sugar = 9/4

The amount of Beaten Eggs = 1/4

The amount of Vanilla Extract = 1/2

The amount of Butter Flavoring = 1/4

The amount of Baking Soda = 3/2

The amount of Cake Flour = 2

The amount of Food Coloring = 1/2

Since, We have to calculate all amount of things for 6 dozen cookies.

And, 3 x 2 = 6

Hence, 6 Dozen cookies make with;

The amount of Shortening = 3/4 x 2 = 3/2

The amount of Granulated Sugar = 9/4 x 2 = 9/2

The amount of Beaten Eggs = 1/4 x 2 = 1/2

The amount of Vanilla Extract = 1/2 x 2 = 1

The amount of Butter Flavoring = 1/4 x 2 = 1/2

The amount of Salt = 1/2 x 2 = 1

The amount of Baking Soda = 3/2 x 2 = 3

The amount of Cake Flour = 2 x 2 = 4

The amount of Food Coloring = 1/ 2 x 2 = 1

So, 6 Dozen cookies make with;

The amount of Shortening = 3/2

The amount of Salt = 2/2 = 1

The amount of Granulated Sugar = 9/2

The amount of Baking Soda = 6/2 = 3

The amount of Beaten Eggs = 1/2

The amount of Vanilla Extract = 1

The amount of Cake Flour = 4

The amount of Food Coloring = 1

The amount of Butter Flavoring = 1/2

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A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the bike is
rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the number of hours
and y represent the total cost of the rental. If another customer rents a bike for 8 hours, how much
should he expect to pay?

Answers

Answer:

34

Step-by-step explanation:

lifa a tarinici de alallqule sie~$1s de 0,sile s  umamos $24 ($3 por cada hora) da 34

What number is 1.6 more than 3.7

Answers

Answer: 5.3

Step-by-step explanation: To solve this question, all you need to do is add the numbers together. 1.6+3.7=5.3

Answer:

the answer is5.3

Step-by-step explanation:

3.7+1.6=5.3

the functions f(x), g(x), and h(x), find the average rate of change over the interval -3≤x≤5

Answers

The average is you can search for it online. X

For u ppl doing the challenges here u go!

Answers

Answer:

ily <3

Step-by-step explanation:

Why would a mutual fund, a collection of stocks, bonds, and other securities, have less risk than investing in stocks alone?

Answers

Answer:

Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.

Step-by-step explanation:

got 100% on edge

974 divided 0.379=?
round the answer to the nearest whole number

Answers

Answer:

2570.

Step-by-step explanation:

974 / 0.379

= 2569.92084433

= 2570 (rounded to the nearest whole number)

Hope this helped!

Answer:

947÷0.379=2.498 to the nearest whole number is 2

Step-by-step explanation:

since number from 0-4 will round down and the number at the back of point is needed to round to the neareat whole number


Where is the angle of depression?

Where is the angle of elevation?

How far apart are the two buildings?

What’s the height of the taller building?

Answers

Answer:

angle of elevation is at top and depresseion on bottom.

Step-by-step explanation:

far apart and height is calculated with more information

Color of socks white black blue brown
Number of socks 9 2 6 5
From the table, the ratio of white socks to brown socks is 9:5
Select two ratios equivalent to the ratio of white socks to brown socks.
A: 36:21
B : 27:15
C: 5:28
D: 36:20

Answers

Answer:

b or d

Step-by-step explanation:

Solve for b. ab + c = d
b = (d-c)/a
b = a + c/d
b = a/(c-d)​

Answers

Answer:

1st Option

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

ab + c = d

Step 2: Solve for b

Subtract c on both sides:          ab = d - cDivide both sides by a:              b = (d - c)/a

Answer:

B = (d-c)/a

Step-by-step explanation:

1 pol
2. *
2. Jerome bought 6 pounds of apples for $0.99 per pound. How
much did he pay for the apples?
A $6.99
B. $5.94
C. $5.01
D. $8.15
A
B
С
D

Answers

He paid 6.99 because each pound cost 0.99

Answer:

B. $5.94

Step-by-step explanation:

A cheesecake recipe says, "Mix 12 oz of cream cheese with 15 oz of sugar. How many ounces of cream cheese are there for every ounce of sugar?_ How many ounces of sugar is that for every ounce of cream cheese? ​

Answers

ounces of cream cheese for every ounce of sugar = 12/15 = 4/5 ounces

ounces of sugar for every ounce of cream cheese = 15/12 = 5/4 ounces

Precent of _____ -The ratio of a amount of decrease to the previous amount expressed as a percent

Answers

Answer:

Percent of decrease - the ratio of an amount of decrease to the previous amount expressed as a percent

Step-by-step explanation:

I WILL GIVE BRAINLEST

graph an ordered pair that is a solution
to the inequality.
4x + 3y <12

Answers

Step-by-step explanation:

( 0,-4) that the answer


15. In the drawing, find the perimeter of triangle BIS.

Answers

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

[tex] BI \cong ST.... (given) \\[/tex]

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

[tex] \frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\

\frac{x}{12} = \frac{4}{x}\\\\

x\times x = 12\times 4\\\\

x^2 = 48\\\\

x=\sqrt{48}\\\\

x = 6.92820323\\\\

x = 6.93\\[/tex]

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

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