The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:
Step 1: 2(y + 4) = 4y
Step 2: 2y + 6 = 4y
Step 3: 2y = 6
Step 4: y = 3
Which of the following explains how to correct Step 2 and shows the correct value of y?
The equation should be y + 4 = 4y after division by 2: y = 5
The equation should be y + 4 = 4y after division by 2 y = 2
O2 should be distributed as 2y + 8,
O2 should be distributed as 2y + 8, y = 2

Answers

Answer 1

Answer:

2(y+4)=4y

2y+8=4y

8=4y-2y

8÷2=y

4=y

Therefore y =4


Related Questions

A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.

What is the volume of the small-size box of dog treats?

Enter your answer as a mixed number in simplest form by filling in the boxes.


(its going to be a mixed number) in³

Answers

The volume of the small-size box of dog treats will be equal to    V=8654.24 In³

What is volume?

Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid

The volume of the rectangular box will be:-

V=LxWxH

V=314x712x12

So the volume of small size box will be:-

V=2682816÷310=8654.24

Hence the volume of the small-size box of dog treats will be equal to

V=8654.24 In³

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How much would you have to
deposit today to have an
accumulated amount of
$20,000 in 20 years if yearly
interest is 4.75% compounded
continuously?

Answers

Answer:

If it went up it would be: 50596.35 and if it went down it would be: 7556.66

Step-by-step explanation:

Here will be the function if it went up:

20000(1+0.0475)^20

Here’s if it went down:

20000(1-0.0475)^20

Evaluate the difference quotient
f(x)-f(1)/X-1, where f(x)=X +5/x+1

Answers

Answer:

C) [tex]\displaystyle\frac{-2}{(x+1)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}[/tex]

Round off 380•59 to the nearest whole number easy 5points​

Answers

Answer:

381

Step-by-step explanation:

that's the nearest whole number

Assume you are going to buy a new Nissan Rouge priced at $38250.00 and after the deal you have found out that the sales tax is 9%. Estimate the answer

Answers

$34807.5 is the answer. 38250 - (38250 x (9/100)) = estimate after the sales tax, that value equates to about $34807.5

Which graph shows the solution to the system of linear inequalities?

Answers

Answer:

this is answer

Step-by-step explanation:

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

Add 3/4 + (−2 1/2) using the number line.

Select the location on the number line to plot the sum.

Answers

Answer:

Heyyy!!!!

Alrighty... here it goes....

Step-by-step explanation:

3/4 + (-2 1/2)

okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....

then rewrite the expression to get 3/4 + (-2 2/4)

now we know that + - = -

basically you subtract since adding a negative makes you subtract...

3/4 - 2 2/4 gives you - 1 3/4

all you have to do is plot that on the number line and you should be good to go

At a Forex Bureau, one US dollar costs Ug.sh.2800. How much Ugandan shillings will a tourist who has US dollars 600 get?​

Answers

Answer:

1,680,000 shillings

Step-by-step explanation:

As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both

=2,800×600

=1,680,000 shillings

--~Hope you understood~--

Simplify the rational expression
x^4 y^2/xy^7.

Answers

Answer: [tex]x^3y^9[/tex]

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near "7.".

STEP 1:

Simplify [tex]\frac{y^2}{x}[/tex]

The equation at the end of step 1:

[tex]((x^4)*\frac{y^2}{x} )*y^7[/tex]

Multiplying exponential expressions:

2.1    [tex]y^2[/tex] multiplied by [tex]y^7[/tex] [tex]=y^(2+7)=y^9[/tex]

Final result is [tex]x^3y^9[/tex]

Between which two consecutive numbers does the root of 90 lie

Answers

Answer:

[tex]9 < \sqrt{90} < 10[/tex]

Step-by-step explanation:

Since [tex]9^2=81 < 90[/tex] and [tex]10^2=100 > 90[/tex], then [tex]9 < \sqrt{90} < 10[/tex]

Helppp I need this asap

Answers

Answer:

[tex]x = 35[/tex]

Step-by-step explanation:

We can use Similar Triangles Ratios to solve for the missing side length. First setup your ratios:

[tex]\frac{42}{6} = \frac{x}{5}\\x = \frac{42}{6} \times 5\\x = 35[/tex]

Answer:

35

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{AB}{PQ} =\frac{AC}{PR}[/tex]? / 5 = 42 / 6? = 5 × 7? = 35

What is the slope of the line that
passes through these two points?
(2, 3)
(2,9)

Answers

Answer:

Slope = undefined.

Step-by-step explanation:

Given two points:

(2,3) & (2,9)

To Find:

The slope

Solution:

Using slope's formulae,

[m denotes slope]

[tex] \boxed{ \rm{m = \cfrac{y_2 -y_1 }{x_2 - x_1} }}[/tex]

According to the question,here:

(y_2,y_1) = (9,3)(x_2,x_1) = (2,2)

Substitute them onto the formulae:

[tex] \rm \: m = \cfrac{9 - 3}{2 - 2} [/tex]

Simplify.

[tex] \rm \: m = \cfrac{6}{2 - 2} [/tex]

[tex]\rm \: m = \cfrac{6}{0} = \boxed{ \rm \: undefined}[/tex]

if an expression contains division by 0 , then It's undefined.

So, slope(m) = undefined.

DeMoivre’s Theorem

[6( cos 70° + i sin 70°)]³

Answers

[tex][6(\cos 70^{\circ} + i \sin 70^{\circ})]^3\\\\=6^3[ \cos ( 3 \times 70)^{\circ} + i \sin ( 3 \times 70)^{\circ}]\\\\=216 [\cos(210^{\circ}) + i \sin( 210^{\circ})]\\\\=216[\cos(2\times 90^{\circ} + 30^{\circ}) + i \sin( 2 \times 90^{\circ} + 30^{\circ})]\\\\=216[-\cos 30^{\circ}-i\sin 30^{\circ}]\\\\=216\left[-\dfrac{ \sqrt 3} 2 - i \cdot \dfrac 12 \right]\\\\=-108\left(\sqrt 3 +i \right)[/tex]

How to find area of a composite figure PLS HELP

Answers

Answer:

5×5=25

8×5÷2=20

25+20= 45

area of a composite 45


22% of what amount is $88?

Answers

Answer: The final cost would be 68.64

Explanation: Step 1) Convert 22% to a decimal: 0.22

Step 2) Multiply that by the amount (0.22×88=19.36)

Step 3) Subtract from the amount (88−19.36)=$68.64

 Answer $68.64

Please see attached question 3 of 25

Answers

Answer:

2(3x+4)

Step-by-step explanation:

Since the 2 is outside of the parenthesis, it means that everything inside of the parenthesis is multiplied by 2

2 x 3x = 6x

2 x 4 = 8

There is a + between 3x and 4, which means that, when simplified, 2(3x +4) = 6x + 8

Option 2(3x + 4 ) is correct.

Step-by-step explanation:

We have equation 6x + 8 .if we take 2 as common, then we will get 3 x and 4 .As we know 2×3= 6 and 2×4 = 8 .

=> 2 ( 3x + 4 ) = 6x + 4 .

6) What time will it be 17 hours and 53 minutes before 4:37 a.m.? Military time

Answers

Answer:

17:53=5:53pm

Step-by-step explanation:

You spin the spinner once.
9
6
8
7
What is P(odd)?
Write your answer as a decimal.

Answers

Answer: 0.5

Step-by-step explanation:

    The odd numbers in the spinner are 9 and 7. The non-odd numbers are 8 and 6.

     We will put the wanted outcomes over the total possible outcomes.

2 / 4

1 / 2

1 / 2 = 0.5

             P(odd) is 0.5.

Find the median, first quartile, third quartile, and interquartile range of the data.

14,25,97,55,66,28,92,38,94





































Find the median, first quartile, third quartile, and interquartile range of the data.

14,25,97,55,66,28,92,38,94

Answers

Median: 55, first quartile: 26.5, third quartile: 93, interquartile: 66.5

Answer:

BELOW IN BOLD.

Step-by-step explanation:

14,25,97,55,66,28,92,38,94

Arrange these in ascending order:

= 14 25 28 38 55 66 92 94 97

The median = middle number = 55.

First quartile = (25+28)/2 =  26.5.

Third quartile = (92 + 94)/2 =  93.

Interquartile range = 93 - 26.5 = 66.5.

state the value of factorial 6 !
[tex] \\ [/tex]

ty! ._.

Answers

6*5*4*3*2*1 = 720

hope this helps!
Hello !

──────⊹⊱✫⊰⊹──────

What is the State the value of factorial 6 ?

Aɴsᴡeʀ :-

720

✔︎ Expʟaɴaᴛiᴏn :

Because we have to do first !

ɴ = ɴ × (ɴ - 1) × (ɴ – 2) × (ɴ – 3) = 6

So your factorial will be 6.

Oʀ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs:-

6 = 6 × (6 -1) × (6 – 2) × (6 – 3) × (6 – 4) × 1

720.

Aɴᴅ, ʏᴏᴜ ᴄᴀɴ ᴅᴏ ɪs.

6 × 5 × 4 × 3 × 2 × 1

= 720

Thus, your factorial will be 6 is 720.

Hope It Helps! ~

Aɴsᴡeʀ :-

Sxɴɴʏsᴏᴜʟ
.



What is the median of this data set?

{16, 16, 16, 19, 20, 22, 23, 24, 24}

Answers

Answer:

The median is 20

Step-by-step explanation:

They are already in order so you would just have to find the middle.......

Hope this helps.......if not then sorry for wasting your time and may God bless you

whats 1500x1500+(1/5- 2/6) divided by 28=?

Answers

Answer:

2249999.99524

Step-by-step explanation:

The answer would be 2249999.99524

Or just 224999

Sorry for the last answer!

An architect is designing a house. She wants the bedroom to have the dimensions of 10 ft by 4 ft by 7 ft. The architect doubles all three dimensions to create the den. Does that mean the den will have double the volume of the bedroom?

Answers

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Does the den have double the volume of the bedroom?

Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.

Volume of rectangular prism is expressed as;

V = l × b × h

Given that;

Length of the bedroom l = 10ftBreadth of the bedroom B = 4ftHeight of the bedroom h = 7ftLength of the den = 2l = 2×10ft = 20ftBreadth of the den = 2B = 2×4ft = 8ftHeight of the den  = 2h = 2×7ft = 14ft

First we calculate the volume of the bedroom.

V = l × b × h

Vr = 10ft × 4ft × 7ft

Vr = 280ft³

Next, we determine the volume of the den

V = l × b × h

Vd = 20ft × 8ft × 14ft

Vd = 2240ft³

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Learn more about the volume of rectangular prism here: https://brainly.com/question/27804313.

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if x:16::35:40 then x is ............ ans pls ​

Answers

Answer:

here is your answer

Step-by-step explanation:

cross multiplication

divide

Which system of equations is represented in the graph? I could really use some help!

Answers

Answer:

This is your teacher if you do this again, I will contact your parents and you will get in big trouble.

Step-by-step explanation:

i need help with 7th grade math please 30 points need help ASAP

Answers

Answer:

Area = 210

Step-by-step explanation:

Given:

Base = 15Height = 14

To find:

Area of parallelogram

Steps:

A = b · h

= 15 · 14

= 210

Answer:

210 yd²

Step-by-step explanation:

Area of a parallelogram :

A = bh

Solving using the given values :

A = 15 x 14A = 210 yd²

if n varies directly with m and m=-12 when n=4 what is the value when n=-3

Answers

Step-by-step explanation:

m and n are directly linked to each other by a factor.

m×k = n

-12×k = 4

k = 4/-12 = -1/3

m×-1/3 = -3

m = 9

This table represents a proportional relationship between x and y.

x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
What is the constant of proportionality?

Enter your answer as a decimal in the box.

ill give brainliest this is for k12

Answers

The table is an illustration of a linear table, and the constant of proportionality is 1.4

How to determine the constant of proportionality?

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Hence, the constant of proportionality is 1.4

Read more about constant of proportionality at:

https://brainly.com/question/1835116


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Find the product with the exponent in simplest
form. Then, identify the values of x and y.
X
1
3
6³.6
64 6
=
X ⇒7, y = 12/7
X ⇒12
x= 7/12
COMPLETE

7 , 12 are the answers

Answers

Answer:

x = 7

y = 12

Step-by-step explanation:

The key to solving this problem is understanding the properties of exponents:

If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y

6^7/12 = 6^x/y

So the product would be 6^7/12

Therefore, the answers are:

x = 7

y = 12

What is 812 divided by 16

Answers

Answer:

50.75

Step-by-step explanation:

812 divided by 16 = 50.75

Hope This Helped

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