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

Answer:

Below in bold,

Step-by-step explanation:

The angles in a triangle add up to 180 degrees.

So the equation is:

7x + 8 + 4x + x + 4 = 180

12x + 12 = 180  <-------- Required equation

12x = 168

x = 14.

m< L = 14 + 4 = 18 degrees

m< M = 7(14) + 8 = 106 degrees

m< N = 4(14)= 56 degrees

Answer:

There is no answer

Because absolute value causes a positive answer and it is written here -13 !!!

it's impossible

Answer:

the answer is 10

Step-by-step explanation:

(8+4+14+16+8)/5

Step-by-step explanation:

f(x)=3x²-4x+8

f(1)=(3*1)²-4(1)+8

f(1)=3²-4+8

f(1)=9-4+8 or using BODMAS

f(1)=5+8 or f(1)=9-12

f(1)=13 or f(1)=-3

Answer:

5.641 = x

Step-by-step explanation:

Work on the right triangle

pythag theorem

9^2 + L^2 = 10^2

L = sqrt 19

then x = 10 - sqrt 19 =5.641

Answer:

49.36 degrees to the nearest hundredth.

Step-by-step explanation:

In the right angled triangle formed the adjacent side is 25.88 m and the opposite = 30.15 m.

So tan B =  30.15 / 25.88 = 1.16499

So m < B = 49.36 degrees.

Answer:

3v2 + 9v = 3v(v + 3)

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

        What is the complete factorization of 3v²+9v?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

First we need to find the GCF of this polynomial; when we find it, we should factor it out, or divide all the terms by it.

Since the greatest common factor (GCF) of this polynomial is 3v, we divide both terms by 3v:-

3v(v+3)

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

The balance after a year will be represented by an expression m + 0.071m.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

The total amount will be calculated as:-

Total amount = Principle + interest rate x priciple

Total amount  = m  +   0.071m

Therefore the balance after a year will be represented by an expression m + 0.071m.

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Answer:

number 2

Step-by-step explanation:

im not that sure but i think it's that one

El oh Elllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Answer:

17.5

Step-by-step explanation:

Two points which lie on the line are : (0, 0) and (4, 70)

Constant of proportionality :

The coordinate s (-4, 1) is lying on the 180 degrees of the vertex R.

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

There are four coordinates are given

P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)

Point S is just lying about 180 degree to the vertex R so the coordinates will be S ( -4,1)

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Answer:

5/(8+4+5) = 5/17

Step-by-step explanation:

total has (8 red +4 white+5 blue）= 17

we looking for blue , so is 5.

5/17

Answer:

y = -3x -2

Step-by-step explanation:

Hi there!!

We're given that a line has a slope of -3 and it contains the point (1, -5)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope, we can immediately plug it into the equation.

Replace m with -3 in y=mx+b.

y = -3x + b

Now we need to find b

As the equation passes through the point (1, -5), we can use its values to help solve for b.

Substitute 1 as x and -5 as y:

-5 = -3(1) + b

Multiply

-5 = -3 + b

Add 3 to both sides

-2 = b

Substitute -2 as b into the equation

y = -3x - 2

Hope this helps!

Topic: finding the equation of a line

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Answer:

7 hours and 50 minutes.

Answer:

Pictograph is the least accurate!

Step-by-step explanation:

Because pictographs have specific pictures and you need to divide it specifically whereas other graphs, you can just graph your information and it'll be accurate.

Answer:

6

Step-by-step explanation:

Answer:

b) x + 14

Step-by-step explanation:

If I sold 14 more cups that what I sold Monday, then my answer should be (what I sold Monday) + (14).

Its like saying suppose I drank x gallons of water today. And next day, I drank 14 more gallons than yesterday. That means, I drank the initial amount of gallons (x) & 14 more gallons today (x+14)

Answer:

[tex]\huge\boxed{\sf \frac{5}{15} + \frac{4}{14} }[/tex]

Step-by-step explanation:

Total number of marbles = 5 + 8 + 2 = 15

Number of red marbles = 5

Probability to draw a red marble at the first trial = 5/15

Number of marbles left = 15 - 1 = 14

Number of Red marbles left = 5 - 1 = 4

Probability to draw a red marble at the second trial = 4/14

[tex]\displaystyle =Probability \ of \ drawing \ a \ red \ marble \ at \ the \ (second \ attempt +first \ attempt)\\\\= \frac{5}{15} + \frac{4}{14} \\\\\rule[225]{225}{2}[/tex]

Answer: 120

Step-by-step explanation:

Janet makes 60 in 8 hours

60 x 2

8 x 2

so the answer is 120

Step-by-step explanation:

a scale factor applies to every line, that means also to every side of the polygon.

the area of a polygon is always created out of the product (multiplication) of 2 dimensions (or sides).

while a perimeter is a pure sum of sides.

so the perimeter grows by the same factor as the sides : scale factor 3.

the perimeter of the larger polygon is therefore :

50 × 3 = 150 cm

and the area of the larger polygon ?

remember, that the area is always the product of 2 sides (or the sum of products of 2 sides).

and so, the scale factor enters these multiplications twice, and it gets therefore squared : 3×3 = 9.

so, the area of the larger polygon is then

42 × 9 = 378 cm²

Answer:

  a = 60, b = 19, c = 101, d = 79, e = 50

Step-by-step explanation:

Relations that are helpful here are ...

__

Using these relations, we can find the unknown measures.

 a° = 60° . . . . . these are vertical angles

  51° +b° +110° = 180°   ⇒   b° = 180° -161° = 19° . . . . straight angle

  a° +b° +c° = 180°

  c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle

  d° = 180° -101° = 79° . . . . . straight angle

 e° = c° -51° = 50° . . . . . c° is exterior to the triangle

A) the value of the population proportion of people who would watch the new series is 5 out of 8 viewers, and B) a 99% confidence interval for the population proportion of people who would watch the new series indicates that between 61.87% and 63.13% of viewers will watch the new series.

Given that Netflix is considering a new romcom (romantic comedy) series, and a random sample of 1,000 viewers was selected and 625 viewers indicated they would watch the new series, for A) estimate the value of the population proportion of people who would watch the new series, and B) develop a 99% confidence interval for the population proportion of people who would watch the new series, the following calculations must be made:

A)

625 = 1

1000 = X

1000 / 625 = X

1.6 = X

10 out of 16, or 5 out of 8.

B)

62.5 x 0.99 = 61.875

62.5 x 1.01 = 63.125

Therefore, A) the value of the population proportion of people who would watch the new series is 5 out of 8 viewers, and B) a 99% confidence interval for the population proportion of people who would watch the new series indicates that between 61.87% and 63.13% of viewers will watch the new series.

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[tex]\tt 3(x+2)-9=15-4(5x-2)[/tex]

To solve this equation, let's apply the distributive property:-

Multiple 3 by ( x+2)/ Subtract 9 from 6 = -3/ and then use the distributive property to multiply −4 by (5x-2) :-

[tex]\tt 3x - 3=15 - 20x+8[/tex]

Add 15 and 8 = 23

[tex]\tt 3x - 3=23 - 20x[/tex]

Now, add 20x to both sides:-

[tex]\tt 3x - 3=23 - 20x[/tex]

Combine like terms:-

[tex]\tt 23x-3=23[/tex]

Add 3 to both sides:-

[tex]\tt 23x=23+3[/tex]

[tex] \tt 23x=26[/tex]

Divide both sides by 23:-

[tex]\tt \: x = \dfrac{26}{23} [/tex]

- :)