I NEED HELP ON THIS QUESTION. I CAN'T SEEM TO GET THE LAST MARK

I NEED HELP ON THIS QUESTION. I CAN'T SEEM TO GET THE LAST MARK

Answers

Answer 1

The dimensions of this cuboid are 2 cm, 11 cm, and 17 cm respectively.

How to calculate the volume of a geometric figure?

Mathematically, the volume of a cuboid can be calculated by using this following formula:

Volume = L × W × H

Where:

L is the length of a cuboid.W is the width of a cuboid.H is the height of a cuboid.

Substituting the given parameters into the formula, we have;

Volume = 2 × (x + 3) × (x + 9)

374 = 2 × (x² + 9x + 3x + 27)

374 = 2 × (x² + 12x + 27)

Dividing both sides by 2, we have:

187 = x² + 12x + 27

Rearranging the equation, we have:

x² + 12x + 27 - 187 = 0

x² + 12x - 160 = 0

Next, we would solve the quadratic equation by using the factorization method as follows:

x² + 12x - 160 = 0

x² + 20x - 8x - 160 = 0

x(x + 20) - 8(x + 20) = 0

(x - 8)(x + 20) = 0

x = 8 or x = -20

Since the dimensions cannot be negative, the value of x is equal to 8.

Check:

x² + 12x - 160 = 0

8² + 12(8) - 160 = 0

64 + 96 - 160 = 0

160 - 160 = 0 (True).

For the dimensions, we have:

Width = x + 3 = 8 + 3 = 11 cm.

Height = x + 9 = 8 + 9 = 17 cm.

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Related Questions

really need helppp plsssss asap ​

Answers

Answer:

Step-by-step explanation:

12 > w + 3 solve the inequality for w and simplify your answer as much as possible

Answers

The solution to given inequality 12 > w + 3 is w < 9

In this question, we have been given an inequality 12 > w + 3

We need to solve the inequality for w.

Consider given inequality,

12 > w + 3                              ............(Given)

12 - 3 > w + 3 - 3                    ...........(Subtract 3 from each side)

9 > w

This means, w is less than 9.

Therefore, the solution to given inequality 12 > w + 3 is w < 9

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A function is modeled by the equation f(x) = 2x + 5.
Which function models a transformation of f (x + 3)?
f(x + 3) = 2x+8
f (x + 3) = 2x + 11
f(x + 3) = 5x + 8
f (x + 3) = 6x + 15
A
B
C
D

Answers

"y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).

f(x) = 2x + 5.

f(x+3) = 2(x+3) + 5.

f(x+3) = 2x + 11.

What is meant by function ?a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).

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Under her cell phone plan, Mayerlin pays a flat cost of $55 per month and $5 per gigabyte. She wants to keep her bill under $70 per month. Write and solve an inequality which can be used to determine x x, the number of gigabytes Mayerlin can use while staying within her budget.

Answers

The number of gigabytes that Mayerlin can use while staying within her budget is 5.

How many gigabytes can she use?

The first step is to determine the appropriate inequality sign to use. Here are the inequality signs:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is <

The form of the inequality is:

flat cost + (cost per gigabyte x number of gigabytes) < total budget

$55 + $5x < $70

5x < $70 - $55

5x < 25

x < 25 / 5

x = 5

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solve for t
275,000 = 300 1-(1 + .038/12 ) ^(-12t)/(.038/12)

Answers

In linear equation , 2,932.25 * ( 1.0316)¹²t = (1)t is value of t .

What are a definition and an example of a linear equation?

A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an uncertain variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.

275000 = 3001 - ( 1 + 0.38/12)⁻¹²t/0.038/12

275000 = 3001 - ( 1 + 0.38/12)⁻¹²t/0.0025

275000 * 0.0025 = 3001 - ( 1 + 0.38/12)⁻¹²t

 68.75 = 3001 - ( 1 + 0.38/12)⁻¹²t

3001 - 68.75 =  ( 1 + 0.38/12)⁻¹²t

2,932.25 = ( 1 + 0.0316)⁻¹²t

2,932.25 = ( 1.0316)⁻¹²t

2,932.25 = 1/ ( 1.0316)¹²t

2,932.25 * ( 1.0316)¹²t = (1)t

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jared bought a table and 12 chairs for $2,400. each chair cost $ 165. find the cost of the table?

Answers

Answer:

Answer down below!

Step-by-step explanation:

Since we do have the value of the chairs, we can do 12 * 165 to get a total of 1,980

Now, with this, to find the price of the table, you do 2,400 - 1,980

That will give you your answer of 420.

Convert to slope-intercept form to graph:
2x + 4y = 8

Answers

By converting to slope-intercept form to graph and solving this equation we are get -x/2 +2

What is slope intercept ?

The slope indicates the steepness of a line and the intercept indicates to the  location where it intersects are in an axis. The slope and that the  intercept define to  the linear relationship between the two variables, and can be the used to the estimate an average rate of change.

The slope, m, represents the steepness of a line. The slope of the line is also the  termed as gradient, sometimes .and  the y-intercept, b, of a line, represents the  y-coordinate of the point to where the graph of the line intersects the y-axis.

Sol-

Re write 2x+4y=8 in slope intercept form we are get-

y= -x/2+2

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The sum of 2 and b is less than or equal to -16 translate the scentence into an inequaltiy

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\text{G\textsf{uide:}}[/tex]

[tex]\bullet\large\textsf{ Greater than or equal to}\rightarrow\mathsf{\geq}\\\bullet\large\textsf{ Greater than}\rightarrow\mathsf{ > }\\\bullet\large\textsf{ Less than or equal to}\rightarrow\mathsf{\leq}\\\bullet\large\textsf{ Less than}\rightarrow\mathsf{ < }[/tex]


[tex]\star\large\textsf{ The word \boxed{\rm{difference}} means subtract/subtraction}\\\star\large\textsf{The word \boxed{\rm{product}} means multiply/multiplication}\\\star\textsf{The word \boxed{\rm{quotient}} means divide/division}\\\star\large\textsf{The word \boxed{\rm{sum}} means add/addition}[/tex]


[tex]\large\text{Now, let us answer your given question}[/tex]

“[tex]\large\textsf{The \underline{SUM} of 2 and b is \underline{LESS THAN or EQUAL to} }\mathsf{-}\large\textsf{16}[/tex]”


[tex]\large\text{Your equal should possibly look like this:}\large\textsf{ 2 + b }\mathsf{\leq\ -}\large\textsf{16}[/tex]


[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{2 + b \leq -16}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?

Answers

Rafael is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 16 feet and its width is 13 feet. Suppose each bag of fertilizer covers 26 square feet. How many bags will he need to cover the garden?​

step 1

Find the area of the garden

Remember that the area of a rectangle is equal to

A=L*W

we have

L=16 ft

W=13 ft

substitute

A=16*13

A=208 ft^2

step 2

we know that

each bag of fertilizer covers 26 square feet

so

Applying proportion

1/26=x/208

solve for x

x ----> number of bags

x=(1/26)*208

x=8 bags

therefore

the answer is 8 bags

Aryon has $20. He buys 2 cokes that each cost $1.50. He also buys a sandwich for $5.50. And a bag of chips that cost $2.25. After Aryon pays for his lunch, how much money does he have left.

Answers

Aryon is left with $9.25 of money after he has paid for his lunch.

According to the question,

We have the following details:

Total amount Aryon has = $20

The cost of 1 coke = $1.50

So, the cost of 2 cokes = $(2*1.50)

The cost of 2 cokes = $3

The cost of a sandwich = $5.50

The cost of a bag of chips = $2.25

So, the total cost of all the materials = the cost of 2 cokes + the cost of a sandwich + the cost of a bag of chips

The total cost of all materials = $(3+5.50+2.25)

The total cost of all materials = $10.75

Now, the money Aryon has = Total money he has - the total cost of all materials

The money Aryon is left with = $(20-10.75)

The money Aryon is left with = $9.25

Hence, the money Aryon is left with is $9.25.

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11. What is the value of the expression below?
1-10+6|-|3²-5|

Answers

The value of the expression |-10+6|-|3²-5| = 0

The expression given is |-10+6|-|3²-5|.

This contains absolute value which needs to be evaluated.

We will go through the definition of absolute value.

Absolute value for x = x, when x is a positive integer.

i.e., |x| = x, when x >0

Absolute value of (-x) = x, when -x is a negative integer.

So absolute value always gives the positive value of the number inside it.

Now |-10+6|-|3²-5| = |-4| - |9-5|

                              = 4 - |4|    [Since |-4| = 4]

                              = 4 - 4      [Since |4| = 4]

                              = 0.

So the value of the expression |-10+6|-|3²-5| = 0

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The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.

How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour.

250 + 200h = 300 + 180h
250 + 200h = 300 + 180h
− 180h − 180h
250 + 20h = 300

Answers

The credit hours that a student has to take for the two tuition costs to be equal is A. 250 + 200h = 300 + 180h

How to illustrate the information?

From the information, the tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h

h = the number of credit hours taken.

The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h.

Therefore, the credit hours that a student have to take for the two tuition costs to be equal will be:

250 + 200h = 300 + 180h

200h - 180h = 300 - 250

20h = 250

h = 250/20

h = 12.5 hours.

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What other pair of angles or sides do you know are congruent?
1. QS = SQ
2. PS = RQ
3. angle QSP = angle SQR
4. angle P = angle R
(Look at attached files)

Answers

Based on the reflexive property of congruency, the other pair of sides that we know are congruent is: 1. QS = SQ.

What is the Reflexive Property of Congruency?

The reflexive property of congruency states that a line will always be a congruent to itself. This means it will always be equal in measure to itself.

In the diagram given showing triangle QSP and triangle SQR, we are given that sides PQ and RS are congruent so also are angles PQS and RSQ.

However, we can also see that both triangles share a common side, side QS. Therefore, side QS is congruent to side SQ by the reflexive property of congruency.

This implies that another pair of sides would be: 1. QS = SQ.

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A store has two types of animal feed available. Type A contains 3 pounds of oats and 2 pounds of corn per bag. Type B contains 1 poun
of corn per bag. A farmer wants to combine the two types so that the resulting mixture has at least 16 pounds of oats and at least 52
only has 15 bags of type A feed and 13 bags of type B feed in stock. Type A costs $4 per bag, and type B costs $1 per bag. How many
the farmer buy to minimize his cost?
Note that the ALEKS graphing calculator can be used to make computations easier.
OO EXPLANATION
Answer : type A feed : 1 bag(s)
Type B feed : 13 bag(s)

Answers

I think the answer is B

Rectangle 1 has an area of 60.81 square centimeters. Rectangle 2 has an area of 61.44 square centimeters. Rectangle 3 has an area of 35.52 square centimeters. Rectangle 4 has an area of 47.88 square centimeters. Part A..Which two rectangles have the greatest difference in area? Part B Look at your answer to part A what is the difference between those two rectangles areas?

Answers

The two rectangles that is R3 and R4 have the greatest difference in the area.

How to calculate the area of the rectangle?

In mathematics, the rectangle is a closed polygon shape which has four vertex as well as four sides. And the opposite side are parallel to each other. To calculate the area, multiply the length and breadth. Similarly, for the perimeter means add all the sides.

According to the question, the given data in the form of the area of the rectangle is as follows:

Area of Rectangle1 = 60.81 square centimeters

Area of Rectangle2 = 61.44 square centimeters

Area of Rectangle3 = 35.52 square centimeters

Area of Rectangle4 = 47.88 square centimeters

Now, to calculate the greatest difference in the area of the rectangles:

Difference(Rect2 - Rect1) = 61.44 - 60.81 = 0.63

Difference(Rect1 - Rect3) = 60.81 - 35.52 = 25.29

Difference(Rect1 - Rect4) = 60.81 - 47.88 = 12.93

Therefore, the two rectangles that is R3 and R4 have the greatest difference in the area.

And the differences are as follows:

Area(Rect1 - Rect3) = 60.81 - 35.52 = 25.29 square centimeters

Area(Rect1 - Rect4) = 60.81 - 47.88 = 12.93square centimeters

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i need help with this problem i’m struggling with

Answers

The answer is at the bottom

For this, you can use the Pythagorean theorem, where:

a^2 + b^2 = c^2

You plug in a = 5.9
And plug in b = 6.9

You should get:
5.9^2 + 6.9^2 = c^2

Now, work out the left side of the problem:
34.81 + 47.61 = c ^2

Add the left side
82.42 = c^2

Remember that you can get rid of the square by taking the square root. So you want to take the square root of both sides to get this:

9.1 = c

This is your answer

Subject: geometry btopic: Chords and arcs a. 7.1 inb. 7.8 inc. 6.7 ind. 8.3 in

Answers

Chords and arcs

YM is the chord of the circle and it has a length of 12 in

The perpendicular VL bisects the chord in V.

To prove the above statement, please note that triangles VYL and VLM are similar because they have one side in common and the second side of the same length (the radius of the circle).

Let's work with any of those triangles, for example, VLY. It's a right triangle in V. The hypotenuse of the triangle is the radius, one leg is the given distance of 5 in and the other leg is half the length of the chord (6 in).

Thus, applying Pythagora's Theorem:

[tex]r^2=5^2+6^2=25+36=61[/tex]

Thus, the radius is

[tex]r=\sqrt{61}[/tex]

r=7.8 in

Option b.

4. tumbleweed, commonly found in the western united states, is the dried structure of certain plants that are blown by the wind. kochia, a type of plant that turns into tumbleweed at the end of the summer, is a problem for farmers because it takes nutrients away from soil that would otherwise go to more beneficial plants. scientists are concerned that kochia plants are becoming resistant to the most commonly used herbicide, glyphosate. the us department of the interior claims that 20 percent of kochia plants are resistant to glyphosate. in 2017 another study by researchers at university of new mexico, 38.5 percent of 52 randomly selected kochia plants were resistant to glyphosate.

Answers

Using the z-distribution, as we are working with a proportion, it is found that since the test statistic is less than the critical value for the right-tailed test, there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

What are the hypothesis tested?

In null hypothesis, we test if there has been no increase, that is, the subtraction is of 0.

In this problem, we consider that:

p₁ is the proportion in 2014.

p₂  is the proportion is 2017.

H₀=p₂-p₁

By alternative hypothesis,

H₁=p₂-p₁≠0,

we test if there has been an increase

The proportions and standard errors are given by:

p₁=0.97, s₁=√0.97(0.803)/61=0.0509

p₂=0.385, s₁=√0.385(0.615)/52=0.0675

Hence, the distribution has mean and standard error given by:

p=p₂-p₁=0.0675-0.0509

s=√s₁²+s₂²=0.0845

Test static z=p bar-p/s

at p = 0 is the value tested at the null hypothesis,

z=0.0166/0.0845

z=0.2

By a right-tailed test,  we are testing is  the proportion is greater than a value, with a significance level of 0.05, the critical value is of

z=1.645

0.2<1.645 there is not enough evidence to conclude that there has been an increase in the proportion of all kochia plants that are resistant to glyphosate.

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(Worksheet typo.. Use this question) On the same map, the dining hall is located at (-12, 6) and the stables are located at (20, 6). How far apart is the dining hall from the stables? (Just type in the number)

Answers

If the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32  units apart from the stables

The location of the dining hall = (-12,6)

The location of the stables = (20,6)

The distance between the two points d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where d is the distance between the two points

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates  of the second point

Substitute the values in the equation

d = [tex]\sqrt{20-(12))^2+(6-6)^2}[/tex]

= [tex]\sqrt{1024}[/tex]

= 32 units

Hence, if the dining hall is located at (-12,6) and the stables are located at (20,6), then the dining hall is 32  units apart from the stables

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Jessica wants to have a square garden plot in her backyard. She has enough compost to cover an area of 116 ft². Use the
formula s = A to find the length of each side of her garden. Round your answer to the nearest tenth of a foot.

Answers

The length of the each side of the square garden of Jessica is found as 10.77 ft.

What is termed as the square?A quadrilateral with 4 equal sides is known as a square. There are numerous objects in our environment that are square in shape. Each square shape is distinguished by it's own equal sides as well as interior angles of 90°.

For the given question,

Jessica is making a square garden in her backyard.

The compost bought is to cover the area of the 116 ft².

The formula for the area is given as;

A = s² , where s is the length of the side of the square.

Put the values.

116 = s²

Taking square root both side.

s = √116

s = 10.77

Thus, the length of the each side of the square garden of Jessica is found as 10.77 ft.

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Kelyse's preschool tuition is $180 per week. She
receives a small discount for honor roll, $50 per
month. Her grandparents help out and pays
20% of her tuition. How much do her
grandparents pay?

Answers

$134 is the amount paid by grandparents every month.

What is the percentage?

Percentage as the name suggests is a ratio of some particles to 100. In order to get the value of the required amount one has to divide the value by 100.

It is given that the  tuition fee is $180 per week = $720 per month

It is also provided that she receives an honour rule of $50 per month.

So, her fees per month is $720- $50= $670.

It is given that 20% of the fees is paid by grandparents.

So, percentage share = 20% of $670 =20/100 x $ 670 = $134

So, $134 is paid by the grandparents every month.

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Translate this sentence into an equation.
78 is the product of Helena's savings and 6.
Use the variable h to represent Helena's savings.

Answers

Answer:

786

Step-by-step explanation:

Answer:

Helena',s savings... h=78+6

Please answer me this as soon as possible i need it urgently.



Note: This is grade 6 maths.​

Answers

Answer:

1a. 4/6

1b. 6/9

1c. 8/12

2. [tex] \frac{6}{12} [/tex]

3. 8/16

Step-by-step explanation:

1a. Multiply top and bottom value by 2

1b.multiply top and bottom value by 3

1c. multiply top and bottom value by 4

2.To get your denominator to twelve you multiply it by 2. and if you multiply by two at the bottom you also multiply by two on top.

3.to get your denominator to 16 multiply the denominator by 8. If you multiply the bottom you should multiply the top with the same value as well.

7th grade math please help a girl out

Answers

Not sure but I think it’s -1

The countdown before a rocket launch is described as –10, –9, –8, . . . After the countdown, the time is described as 1, 2, 3, . . . What is the meaning of zero in this situation?

Answers

Answer:dsa

Step-by-step explanation:

sadfdfsaf

The cost of 3 pounds of grapes is $6.57. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x?

PLEASE I NEED HELP ME PLEASE
I WILL GIVE 40 POINTS FOR THE NEXT QUESTION

Answers

The value of the Constant of Proportionality will be $2.19.

In the given question, it is stated that 3 pounds of grapes cost $6.57. We have to calculate and find out the Constant of Proportionality.

The constant of Proportionality is a constant term in the equation that does not vary and has a fixed value that represents a certain quantity in a given situation.

Here, we know that 3pounds cost $6.57. Taking:

y = Total Cost

x = Number of Pounds

c = Constant of Proportionality

We get the equation to represent the Total cost with respect to the number of pounds where c will be the proportionality constant which defines the unit price of a pound. The equation will be:

=> y = c*x

=> 6.57 = 3c

=> c = 2.19

Hence, we get the Constant of Proportionality $2.19

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x^2-y=7 and y-5x=-11 The system of equations above has two solutions. The solution in Quadrant 1 is (A,B) and the solution in Quadrant 4 is (C,D) . Find the values of (A,B), (C,D)

Answers

By solving the system of equations, we can see that the solutions are:

(A, B) = (4, 9)

(C, D) = (1, -6).

How to solve the system of equations?

Here we have the following system of equations:

x^2 - y = 7

y - 5x = -11

If we isolate the variable y in both equations, we get:

y = x^2 - 7

y = -11 + 5x

Now we can equate these two to get:

x^2 - 7 = -11 + 5x

now we have a quadratic equation, this can be rewritten as:

x^2 - 7 + 11 - 5x = 0

x^2 - 5x + 4 = 0

Using the quadratic formula, we will see that the solutions are:

[tex]x = \frac{5 \pm \sqrt{(-5)^2 - 4*1*(4)} }{2*1}[/tex]

Solving that we get:

[tex]x = \frac{5 \pm \sqrt{(9} }{2} \\\\x = \frac{5 \pm 3}{2}[/tex]

So the two solutions for x are:

x = (5 + 3)/2 = 4

x = (5 - 3)/2 = 1

Evaluating the second equation in these x-values we get:

y = -11 + 5*4 = -11 + 20 = 9

y = -11 + 5*1 = -6

Then we have the coordinate pairs: (4, 9) (on the first quadrant) and (1, -6) on the fourth quadrant.

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I need help with this question.

Answers

Answer:the 2nd choice

Step-by-step explanation:

The system of equations is solved using the linear combination method.

StartLayout 1st row 1st column one-half x + 4 y = 8 right-arrow 2nd column negative 2 (one-half x + 4 y = 8) right-arrow 3rd column negative x minus 8 y = negative 16 2nd row 1st column 3 x + 24 y = 12 right-arrow 2nd column one-third (3 x + 24 y = 12) right arrow x + 8 y = 4 with Bar Underscript 3rd row 3rd column 0 = negative 12 EndLayout

What does 0 = −12 mean regarding the solution to the system?

There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.

Answers

Answer: The answer is A) There are no solutions to the system because the equations represent parallel lines.

Step-by-step explanation: got it on edge 2022

Answer:

There are no solutions to the system because the equations represent parallel lines

Step-by-step explanation:



On a literature exam, there are 6 vocabulary questions for every 7 questions about
a book. If there are 12 vocabulary questions on the test, how many total questions
are on the test?

Answers

Answer:

26 total questions

Step-by-step explanation:

6 * 2 = 12

7 * 2 = 14

14 + 12 = 26

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