Identify the equivalent of:

6x + 2y = 12


A. y = 3x + 6
B. y = -3x - 6
C. y = 3x - 6
D. y = -3x + 6

A. Addition Property of Equality. The property that states that if you add the same number to both sides of an equation, the sides remain equal. Which as we see the equation still remains equal.

To go through Step 3 to Step 4 he used the addition property of equality. Option A is correct.

Given that,
Simion used steps to solve the equation,
To determine which property did he use to get from step 3 to step 4.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Step 1: -6(x + 7) = 2(x − 11)

Distributive property

Step 2: -6x − 42 = 2x − 22

Addition property of equality
Adding 2x on both side

Step 3: -8x − 42 = -22

Addition property of equality
Adding 42 on both sides

Step 4: -8x = 20

Thus, to go through Step 3 to Step 4 he used the addition property of equality. Option A is correct.

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Answer:

75

Step-by-step explanation:

1200+9X=25X

1200=25X-9X

1200=16X

X=1200/16

X=75

To find the number of tote bags a company needs to sell in order to cover its costs, we need to set its daily costs equal to its daily revenue and solve for the number of bags. In this case, the solution to the equation indicates that the company needs to sell 80 tote bags each day to break even.

The subject of this question is business mathematics, specifically the mathematical concept of break-even point. The break-even point is the point at which total revenue equals total expenses, and the business is neither losing nor making money. In this case, the fixed costs, or overhead expenses, total $1200 per day, while the variable costs are $9 per tote bag. We can express daily costs, C, as C = $1200 + $9x, where x represents the number of tote bags. The daily revenue, R, is R = $25x. To find the number of tote bags needed to break even, you set C equal to R and solve the resulting equation $1200 + $9x = $25x. Solving this equation yields x = 80. Therefore, the company needs to sell 80 tote bags each day in order to break even.

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Answer:

(p×2)+3

Step-by-step explanation:

I'm not too sure, I've only just started practicing this stuff?

Answer:

[tex]4.5375*10^1[/tex]

Step-by-step explanation:

we know that

[tex]45\frac{3}{8}=45+\frac{3}{8}=45+0.375=45.375[/tex]

Convert decimal number in scientific notation

A number expressed in  scientific notation   has the form

[tex]a*10^{n}[/tex]

where

[tex]1\leq a < 10[/tex]

n is a integer

Expressing 45.375 in this form means writing the number as a value between 1 and 10

so

For a=4.5375,n=1

[tex]45.375=4.5375*10^1[/tex]

Final answer:

The mixed number 45 3/8 can be expressed in scientific notation as 4.5375 *[tex]10^2[/tex] by first converting it to an improper fraction, then to a decimal, and finally moving the decimal point two places to the left.

Explanation:

To write the mixed number 45 3/8 in scientific notation, let's first convert it into an improper fraction and then into a decimal. The mixed number 45 3/8 is equivalent to (45 * 8 + 3) / 8, which simplifies to 363/8 or 45.375 as a decimal.

Now, to express this in scientific notation, we move the decimal point two places to the left so that the number falls between 1 and 10. As a result, we get 4.5375. Since we moved the decimal two places to the right, we multiplied by 10 to the power of 2([tex]10^2[/tex])

Finally, 45 3/8 in scientific notation is 4.5375 *( [tex]10^2[/tex] ).

Answer:

w=6

Step-by-step explanation:

3w+5=23

3w=23-5

3w=18

w=6

The solution to the equation 3w + 5 = 23 is w = 6.

The given equation is 3w + 5 = 23.

We need to solve for w.

Subtract 5 from both sides of the equation to isolate the term with 3w:

3w + 5 - 5 = 23 - 5

3w = 18

Divide both sides of the equation by 3 to solve for w:

(3w) / 3 = 18 / 3

This simplifies to:

w = 6

Therefore, the solution to the equation 3w + 5 = 23 is w = 6.

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Answer:

129/10 or 12.9

Step-by-step explanation:

Multiply 0.7 by 3 and subtract that answer by 15

Answer:

12.9 dat was easy

Answer:

36

Step-by-step explanation:

Number of boys = 30

also, Number of boys = 10(number of girls/2)

∴ 30 = 10(number of girls/2)

30×2 = 10(number of girls)

⇒ number of girls = [tex]\frac{60}{10}[/tex]

⇒ number of girls = 6

Total number of girls and boys = 30 + 6 = 36

Answer: x = 4

Step-by-step explanation:

5x + 34 = -2 + 14x

5x - 5x + 34 = -2 + 14x -5x       Remove 5x from both sides

34 = -2 +9x

34 + 2 = -2 + 2 + 9x               Add 2 to both sides (remove constant)

36 = 9x

36/9 = 9x/9       Divide both sides by 9 to isolate the variable

4 = x

or

x = 4

None of the given equations are perpendicular to the equation '5y = 2x +4'. This is because perpendicular lines have reciprocal, negative slopes and none of the given lines meet this criteria.

To find the equations that are "perpendicular" to the given equation 5y = 2x +4, we first need to find out the slope of the given equation. The slope of the equation is obtained by rearranging it into the y=mx+b form where m stands for the slope. Thus, y=(2/5)x+4/5, which gives us a slope (m) of 2/5.

Perpendicular lines have slopes that are negative reciprocals of each other. So, for a line to be perpendicular to the given line, it should have a slope of -5/2.

Given the equations 7 y = 6x + 8, 4y = 8, and y + 7 = 3x, let's find out their slopes. The slope for the first equation is 6/7, for the second equation is undefined as it's a horizontal line, and for the third equation is 3. Hence, none of these lines are perpendicular to the given line. Similarly, none of the lines Y2 = -173.5+ 4.83x − 2(16.4) and line Y3 = -173.5+ 4.83x + 2(16.4) don't have a slope of -5/2 and hence, are not perpendicular to the given line.

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The equation of the line with a slope of 2/3 and y-intercept of 4 is y = 2/3x + 4.

The equation of a line in slope-intercept form (which is the most common form we deal with in algebra) is y = mx + b, where m is the slope and b is the y-intercept.

In this case, you're given that the slope (m) is 2/3 and the y-intercept (b) is 4. Substituting these values into the equation gives you the equation of the line: y = 2/3x + 4.

This is the equation that represents the given line

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Final answer:

The equation of the line with a slope of 2/3 and a y-intercept of 4 is y = 2/3x + 4.

Explanation:

To find the equation of a line with a slope of ⅓ and a y-intercept of 4, we can use the slope-intercept form of a line, which is y = mx + b where m is the slope and b is the y-intercept.

The given slope is ⅓, so m = ⅓. Given that the y-intercept is 4, b = 4.

Plugging these values into the slope-intercept equation, we get y = ⅓x + 4, which is the equation of the desired line.

The equation of a line is a mathematical expression that describes the relationship between the independent variable (x) and the dependent variable (y) for points on that line in a Cartesian coordinate system. It allows you to represent a straight line graphically on a two-dimensional plane.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

3 divided by 1 is 0.33 repeating

Answer:

22

Step-by-step explanation:

22 x 3 = 66

66- 11 = 55

55-33 = 22

Answer:

40

explanation:

240 ÷ 6 = 40

The value of expression 240 divided by 6 would be equal to 40

When 'a' is divided by 'b', then the result we get from the division is part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 240 divided by 6

A negative divided by a negative is positive

240 ÷ 6 = 40

Therefore, The value of 240 divided by 6 is; 40

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Answer:

1. False

2. c. (1, -7)

3. Input= 1 and 4; Output=6, 12 and 18. The rule is the input×3

Step-by-step explanation:

1. 8+4=±5+7

8+4= 12 & ±5+7= 2

The left side  12  does not equal to the right side  2 , which means that the given statement is false.  

2. I'm not sure how to show my work.

3.

Input: 0, 1, 2, 3, 4, 5, 6

Output: 0, 3, 6, 9, 12, 15, 18

0×3=0; 1×3=3; 2×3=6; 3×3=9; 4×3=12; 5×3=15; 6×3=18

1. The equation is false.

2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).

3. The rule for the table is to square the input and add 3.

1. Given

8 + 4 = -5 + 7

12 = 2

The left side of the equation is 12, and the right side of the equation is 2. 12 is not equal to 2, so the equation is false.

2. The ordered pair that is a solution of the equation y = -11x + 4 is (-1, -7).

To see this, we can substitute the x-value of -1 into the equation and solve for y:

y = -11(-1) + 4

y = 11 + 4

y = 15

We can also substitute the y-value of -7 into the equation and solve for x:

-7 = -11x + 4

-11x = -11

x = 1

Therefore, the ordered pair (-1, -7) satisfies both sides of the equation, so it is a solution.

The other ordered pairs do not satisfy both sides of the equation. For example, if we substitute the x-value of 0 into the equation, we get y = 4, which does not equal -7.

3. The rule for the table is square the input and add 3.

To see this, we can look at the first few rows of the table:

Input | Output

-------|--------

0      | 3

3      | 12

9      | 28

We can see that squaring the input and adding 3 gives us the output for each row. For example, squaring the input of 0 gives us 0, and adding 3 gives us 3, which is the output for the first row.

We can also see that this rule works for all of the rows in the table. Therefore, the rule for the table is to square the input and add 3.

Here is the completed table:

Input | Output

-------|--------

0      |    3

3      |    12

9      |    28

16     |    45

25    |    64

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Answer:

Step-by-step explanation:6 hours because 10-4=6

Answer: 12 inches cubed

Step-by-step explanation:

volume=length x width x height

volume=1.5 in x 2 in x 4 in

volume=12 in^3

Answer:

6

Step-by-step explanation:

6y - 2 = 34

6y = 36

y = 6

Answer:

y = 6

Step-by-step explanation:

6y - 2 = 34

    +2     +2

6y = 36

[tex]\frac{6y}{6} = \frac{36}{6}[/tex]

y = 6

Margaret needs 2 1/2 cups of sugar and chocolate chips to make the fudge.

To make the fudge, Margaret needs 1 1/4 cups of sugar and 1 1/4 cups of chocolate chips.

To find the total number of cups needed, add the amounts of sugar and chocolate chips: 1 1/4 + 1 1/4 = 2 1/2 cups.

Therefore, Margaret needs 2 1/2 cups of sugar and chocolate chips to make the fudge.

The final answers of four different parts of the question can be concluded in the following bulletin points.

1). The percent of individuals with each of the following natural eye colors:

brown, blue, green, hazel, and others.

2). The population density of each of the 50 states in the United States.

3). The number of college students who play basketball, baseball, or soccer.

4). The proportion of traditional public schools in a region compared to

the proportion of charter and private K–12 schools in that region.

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For the percent of individuals with each natural eye color and the population density of each state in the United States, a bar graph is appropriate. For the number of college students who play different sports, a bar graph is also appropriate.

A bar graph would be an appropriate way to display the percent of individuals with each natural eye color. Each bar in the graph would represent a different eye color, and the length of the bar would represent the percentage of individuals with that eye color. This would allow for easy comparison of the different eye colors.

For the population density of each state in the United States, a bar graph would also be appropriate. Each bar in the graph would represent a different state, and the height of the bar would represent the population density of that state. This would allow for easy comparison of the population densities between states.

For the number of college students who play basketball, baseball, or soccer, a bar graph would be the most appropriate choice. Each bar in the graph would represent a different sport, and the height of the bar would represent the number of students who play that sport. This would allow for easy comparison of the number of students playing each sport.

Answer:

[3⅖, -⅘], [5, -2]

Step-by-step explanation:

I could not do any more, but I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Answer:

Variable

Step-by-step explanation:

A Variable is a letter or symbol used to represent a quantity that can change.

The symbol used to represent a quantity that can change is called a variable.

We have,

The symbol that is commonly used to represent a quantity that can change is called a variable.

In mathematics and algebraic equations, variables are often represented by letters such as x, y, or z.

Variables are placeholders for unknown or changing values that can be assigned different numerical or algebraic values during calculations or problem-solving.

They allow for the generalization and manipulation of mathematical expressions and equations.

Thus,

The symbol used to represent a quantity that can change is called a variable.

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Answer:

x=16

Step-by-step explanation:

The Distributive property says a(b+c) = ab+ac

1) You have 4(x-1)... This can be simplified to 4x-4

4x-4-5=3x+7

2) Combine alike terms:

4x-9=3x+7

3) add a 9 to both sides:

4x=3x+16

4) subtract a 3x from both sides:

x=16

Answer:

see the picture 8.1 is answer

Answer:

x = 31

Step-by-step explanation:

Let x: total amount of questions in the Chemistry test.

Then 52% represents the ratio of questions properly answered vs total questions:

[tex]\frac{Correct}{Total} = 52%[/tex]

The number of correct questions is the number of total questions take the number of missed questions.

[tex]Correct questions = Total questions - missed questions[/tex]

Since, missed questions = 15

[tex]\frac{x-15}{x} = 52%[/tex]

Also, 52% can be expressed as 0.52. Then, the expression can be rewritten as:

[tex]\frac{x-15}{x} = 0.52[/tex]

Then, rearranging:

[tex] x - 15 = 0.52x [/tex]

[tex] x - 0.52x = 15 [/tex]

[tex] 0.48x = 15 [/tex]

[tex] x = 15/0.48 [/tex]

[tex] x = 31.25 [/tex]

Rounding to the nearest unit: x = 31

Answer: 10 : t = 16   11 : x = -8   13 : x = 0

Step-by-step explanation: Im sure about 10 and 11 but not too sure about 13 and explanations are too hard for me to explain

Here's my step-by-step explanation:

Let's get two facts straight: f(x) is a linear function. It's a line. g(x) is an exponential function. It's a curve.

Method 1: Elimination using f(x)

For f(x), the y-intercept (where on the y-axis it coincides with) in {f(x) = 7/3x - 3} is -3. And the only graph that has that is Graph 2.

Alright, so the first obvious solution, according to that graph, is (0, -3). And since we're speaking in terms of x (thus f(x) and g(x)), we pick the x-value from that coordinate and get 0.

The second solution is not as obvious; it's supposed to be (3,4) but the graph is kinda off. I attached a Desmos graph so you can see what I'm talking about a little more clearly.

Anyway, since we're speaking in terms of x we pick the x-value from that coordinate and get 3. Nice, we've got the solutions 0 and 3.

Hope this helps, let me know if I made a mistake.

Answer:

Part 1) Dan wrote in expanded form two millions thirty five thousand, four instead of  two millions , three hundred fifty thousand, four

Part 2) The standard for of the number is [tex]2,350,004[/tex]

Step-by-step explanation:

we have

The number two millions , three hundred fifty thousand, four

we know that

Dan Wrote

[tex](2*10^6)+(3*10^4)+(5*10^3)+4=2,000,000+30,000+5,000+4=2,035,004[/tex]

The number that Dan wrote is two millions thirty five thousand, four

The correct number in expanded form is

[tex](2*10^6)+(3*10^5)+(5*10^4)+4=2,000,000+300,000+50,000+4=2,350,004[/tex]

The standard for of the number is [tex]2,350,004[/tex]