Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.

Answers

Answer 1

Answer:

Yes, because when the values are substituted in, the equation becomes a true statement

Step-by-step explanation:

plug in the values for x and y and see if the equation makes sense

x=3

y=11

1/3(3)+11=12

1+11=12

12=12

Since the above equation is true, the point is a solution for the linear equation.


Related Questions

Is 2 or 5 an ordered pair?

Answers

Answer:

If it's written like this: (2, 5) then it is a ordered pair

Step-by-step explanation:

Can a triangle be constructed with sides 5 cm 6 cm and 11cm?

Answers

It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.

In the given question, we have to check that it is possible to construct a triangle whose sides are 5 cm 6 cm and 11cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 5 and 6

5 + 6 = 11

11 = 11

Now we add 6 and 11

6 + 11 > 5

17 > 5

Now we add 5 and 11

5 + 11 > 6

16 > 6

It is not possible to construct a triangle whose sides are 5 cm 6 cm and 11cm because the sum of two sides(5cm and 6cm) are equal to three sides(11 cm). The equal sides cannot form a triangle.

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Tony and Jacob are selling fruit for a school fundraiser. Customers can buy small boxes of grapefruit and large boxes of grapefruit. Tony sold 12 small boxes of grapefruit and 8 large boxes of grapefruit for a total of $276. Jacob sold 6 small boxes of grapefruit and 9 large boxes of grapefruit for a total of $228. find the cost each of one small box of grapefruit and one large box of grapefruit

Answers

The cost of one small box of grapefruit and one large box of grapefruit is

What is Simultaneous equation?

Simultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution. Some of the examples of simultaneous equations are: 2x - 4y = 4, 5x + 8y = 3.

represent small box by x and large box by y

12x + 8y = 276 equation 1

6x + 9y = 228 equation 1

make the coefficients of x equal by multiplying equation 2 by 2

12x + 8y = 276 equation 3

12x + 18y = 456 equation 4

subtract equation 3 from 4

10y = 180

y = 180/10

y = 18

substitute 18 for y in equation 1

12x + 6×18 = 276

12x = 276-108

12x = 168

x = 168/12

x= 14

therefore the cost of one small boxes is $14 and the cost of one large box is $18

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The table represents a linear relationship.


x −1 0 1 2
y 2 0 −2 −4


Which of the following graphs shows this relationship?
graph of a line passing through the points negative 2 comma negative 4 and 0 comma 0
graph of a line passing through the points negative 2 comma negative 1 and 0 comma 0
graph of a line passing through the points negative 2 comma 4 and 0 comma 0
graph of a line passing through the points negative 2 comma 1 and 0 comma 0

Answers

The graph that shows the relationship is graph of a line passing through the points negative 2 comma 1 and 0 comma 0. Option D

What are the points on the graph?

We know that a straight line graph is the kind of graph that we can be able to represent by the use of the equation; y = mx + c. Now we could have a straight line graph that passes through points.

The points that the graph would have to pass through are also the points that we can see on the graph of the function whose table have been shown in the question.

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Answer:

(-2,1) (0,0) D

Describe the transformation that is needed to obtain the graph of h(x)=0.8x+3 from the graph of h(x)=0.8x

Answers

The transformation applied to function h(x) is a translation of 3 units upwards.

Which is the transformation applied?

For a function f(x), we can define a vertical translation of N units as:

g(x) = f(x) + N

This will move the graph of f(x) N units vertically.

If N > 0, the translation is upwards.if N < 0, the translation is downwards.

Here we start with the function h(x) = 0.8*x

And we want to see which transformation will give us g(x) = 0.8*x + 3

We are just adding 3, so this is a translation of 3 units upwards.

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Point A has coordinates A(2,1). What is the image after a dilation centered at the origin with a scale factor of 2?

Answers

The image of Point A, after a dilation which is centered at the origin with a scale factor of 2 is ( 4, 2 )

How to find the dilated coordinates ?

When a dilation is centered at the origin with a scale factor of 2, the coordinates of a point are multiplied by 2.

Given a point A(2,1) , the image of point A after a dilation centered at the origin with a scale factor of 2 is:

Point X :

= 2 x 2

= 4

Point Y:

= 1 x 2

= 2

So the image of point A after the dilation is the point A' with coordinates ( 4, 2 )

It's important to note that dilation either expands or contracts the figure and the center of dilation is the fixed point around which the expansion or contraction occurs.

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Find the value of x

Answers

The value of x is 70°

What is mean by polygon interior angle theorem? The Polygon Interior Angle Theorem states that the sum of all the interior angles of a polygon is equal to (n - 2)180 degrees, where n is the number of sides of the polygon. This theorem applies to all regular polygons, which are polygons with all sides of equal length. The theorem can be used to calculate the measure of an interior angle of a regular polygon by dividing the total sum of all the interior angles by the number of sides. For example, if a regular pentagon has five sides, the sum of the interior angles is 5(180) or 900 degrees. Therefore, the measure of each interior angle is 900/5 or 180 degrees. This theorem is also known as the Gauss-Bonnet theorem.

Solution:

Interior angle = (n-2) . 180°

(6 - 2) . 180°

Measure of Interior angle = 720°

x + 102 + 146 + 120 + 124 + 158 = 720°

x = 70°

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It's supposed to be 7th grade math not high school.

Answers

Answer:

B. Isosceles

Step-by-step explanation:

It is 7th grade, maybe even 5th or 6th.

A scalene has no equal sides.

An isosceles has 2 equal sides

An Equilateral has 3 equal sides

Acute has angles less than 90 degrees

The box in the corner means 90 degrees so it's a right triangle and the ticks mean congruent. Obviously right isn't one of the options so isosceles is correct

Answer:

Isosceles Triangle

Step-by-step explanation:

An Isosceles or a scalene can have a right angle, but a scalene right triangle has a longer side that isn't equivalent like the sides of this triangle. So this makes it isosceles.

-Hope this helped

Can someone help me I’m very confused?

Answers

Multiply all terms by the same value to eliminate fraction denominators

f/3= -5
3 x f/3 =3(-5)

Cancel multiplied terms that are in the denominator

3 x f/3 =3(-5)
f= 3(-5)

Multiply the numbers

f= 3(-5)
f= -15

Solution

=−15

Jason plots three points on a coordinate plane and sees that they do not create a function the three points he plots are (-2,5),(-5,9),(x,-3)

Answers

The possible values of x, so that the relation does not form a function, is given as follows:

x = -2 or x = -5.

When does a relationship represents a function?

To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.

The points for the function in this problem are given as follows:

(-2,5),(-5,9),(x,-3)

The meaning of each point is that:

(-2,5): input of -2 is mapped to an output of 5.(-5,9): input of -5 is mapped to an output of 9.(x, -3): input of x is mapped to an output of -3.

The relation is not a function, meaning that the value of x is either of x = -2 or x = -5, which are already mapped to another value of x.

Missing Information

The problem asks for the values of x so that the relation is not a function, considering the three points that were given on the problem.

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what is the diameter of the semi circle whose perimeter is 54​

Answers

Answer:

The diameter will be equal to twice the radius. Therefore, Hence, the radius and the diameter are equal to 10.5 cm and 22 cm

HELP ASAP PLEASE k12

Answers

When graphing the dots the first number is x and the second is y. when you graph the dots it should line up and look like a straight line, it doesnt matter if its diagonal as long as its straight. thats one of the reasons on why its proportional. graph the third box. (-2,-4) (-1,-2) (1,2) (2,4). thats the only box with a proportional relationship because when checking if its proportional you put the y over x to make it a fraction. for example, 2/1  which simplified is just 2. then you do that again with the rest of the table. using the third table it would be -4/-2 which simplified is 4/2 2/1 also known as 2. -2/-1 2/1 2. 2/1 2. 4/2 2/1 2. all of those simplified is 2 meaning its proportional. hope this helps!

A line is drawn so that it passes through the points (-5,0) and (5,4). What is the slope of the line? Round the answer to the tenths place. If the answer is a whole number than make the tenths place a zero to be counted as correct.

Answers

The slope of a line is calculated using the formula slope = (y2 - y1) / (x2 - x1). the answer is 2.0.

In this case, the formula would be slope = (4 - 0) / (5 - (-5)) = 4 / 10 = 0.4.

When rounded to the tenths place, the answer is 2.0.

The slope of a line is calculated by applying the formula slope = (y2 - y1) / (x2 - x1). In this particular problem, the formula would be slope = (4 - 0) / (5 - (-5)) = 4 / 10 = 0.4. Since the answer needs to be rounded up to the tenths place, the answer is 2.0. This answer can be verified by graphing the two points given and using the line of best fit to measure the slope. The line passes through the two given points (-5, 0) and (5, 4) and has a slope of 2.0.

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Fill in the blank question.
A bathtub contains 6012
gallons of water. When the drain plug is pulled, the tub drains at an average rate of 4.5 gallons per minute. In how many minutes will the amount of water in the bathtub be 24.5 gallons?

Answers

Answer:

1326.78 minutes

Step-by-step explanation:

We know that the bathtub starts with 6012 gallons of water and that it drains at an average rate of 4.5 gallons per minute. To find how many minutes it will take to reach 24.5 gallons, we can use the formula:

time = (initial amount - final amount) / rate

Plugging in the given values, we get:

time = (6012 - 24.5) / 4.5

Solving for time:

time = 1326.78 minutes

It will take 1326.78 minutes for the bathtub to drain to 24.5 gallons of water.

What 3D shape would result if you repeated the paper scaling with a piece of paper that was circular rather than rectangular (we did rectangular in class). What shape would you build?

The resulting 3D shape would be a​

Answers

Answer:

3 d shape is in rectangular

Simplify the expression. 3 ^4s

Answers

Answer:

81s

Step-by-step explanation:

3^4s

3x3x3x3s

A train left Vicky' town and traveled for 4 hour and 50 minute to Wildgrove. Then it traveled 2 hour and arrived in Wetminter at 12:28 P. M. What time did the train leave Vicky' town?

Answers

The train left Vicky's town at 7:38 A.M. after traveling for  4 hours and 50 minutes to Wildgrove.

To calculate this, we need to work backward from the arrival time in Westminster. The train arrived in Wetminter at 12:28 P.M. and it took 2 hours to travel from Wildgrove to Westminster. So, if we subtract 2 hours from 12:28 P.M., we get 10:28 A.M.

Next, we need to take into account the time it took for the train to travel from Vicky's town to Wildgrove. The train traveled for 4 hours and 50 minutes to Wildgrove.

So, if we convert 4 hours and 50 minutes to minutes (4*60+50 = 290 minutes) and subtract it from 10:28 A.M., we get 7:38 A.M. This is the time the train left Vicky's town.

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The bar chart below shows the monthly energy bill for Wally's tackle shop.
Which of the listed months had bills between $40 and $50? Scroll down to
see all six answer options and check all that apply.
Energy bill (S)
70
09
10
January
February
March
Apri
May
am
July
Months
August
September
October
November
December

Answers

On solving the provided question, we can say that from the bar chart provided , months which had bills between $40 and $50 are  March, June, and November

what is bar chart?

A bar graph or chart presents specific statistics using square bars with heights or lengths proportional to the numbers they represent. You can plot the bars either vertically or horizontally. Sometimes a column chart is used to refer to a vertical bar chart. The visual representation of data (often grouped) in the form of square, vertical or horizontal bars, where the length of the bars is related to the level of statistics, is called a bar graph. Bar charts are another name for them. One way to manage statistical data in statistics is via bar graphs.

from the bar chart provided ,

months which had bills between $40 and $50 are

March, June, and November

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3 of 10
What is the connection between goals and savings?
Goals can give you a reason to save.
You can save goals.
You can buy goals.
Goals are not connected to savings.
Next →

Answers

Answer: Goals can give you a reason to save.

Step-by-step explanation: Because You cant Save your goals, Buy your goals or Not connect to savings. I wish my answer was useful

How can I open my cervix naturally?

Answers

Natural methods that may help to open the cervix include acupuncture, herbs such as red raspberry leaf, exercise, sex and nipple stimulation.

There are several natural methods that may help to soften and open the cervix in preparation for childbirth, including:

Acupuncture: Acupuncture has been found to be effective in helping to prepare the cervix for labor by promoting the release of oxytocin, a hormone that can help to soften and open the cervix.

Herbs: Certain herbs, such as red raspberry leaf, can help to tone the uterus and prepare the cervix for labor.

Exercise: Regular physical activity can help to maintain good health and prepare the body for labor.

Sex: Semen contains prostaglandins which can help to soften the cervix.

Nipple stimulation: Stimulating the nipples can also cause the release of oxytocin, which can help to soften and open the cervix.

It is important to note that these methods may not work for everyone, and it is best to consult with a healthcare provider before trying any new method.

Also, It's not advisable to self-induce labor or try to open the cervix before it's time as it can cause problems for both mother and baby.

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Is it possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm if not why?

Answers

It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).

In the given question, we have to check that it is possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm.

The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.

To check this we firstly add the 4.8 and 6.2

4.8 + 6.2 < 12

11 < 12

Now we add 6.2 and 12

6.2 + 12 > 4.8

18.2 > 4.8

Now we add 4.8 and 12

12 + 4.8 > 6.2

16.8 > 6.2

It is not possible to construct a triangle whose sides are 4.8 cm 6.2 cm and 12 cm because the sum of two sides (4.8 and 6.2) are smaller than third sides(12).

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help please ineed this

Answers

Answer:

(3,1)

Step-by-step explanation:

What is the table of 9 to 20?

Answers

Any number will do as a starting point. Then, multiply that figure by 9. If the outcome is a multiple-digit number .

what is sequence ?

In mathematics, a sequence is a list of things that are in a particular order (or events). It has members, much like a set (also called elements, or terms). The number of ordered items determines the sequence's length (potentially infinite). Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary types of sequences that you should be aware with. A number sequence is a group of numbers connected by a rule. If you understand the rule, you can figure out the subsequent numbers in the series. Each number in this case differs from the others by 6. Because of this, the rule for this sequence is to add 6 each time.

given

Any number will do as a starting point.

Then, multiply that figure by 9. If the outcome is a multiple-digit number, add the digits to create a new number.

Add the digits of that new number together to create a new one if it is still a multi-digit number.

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The area of a square living room is 256 ft2
256

ft
2
. Which is the length of the room?

Answers

Answer:16ft

√256=16ft

length=16ft

What is an example of a two-step inequality?

Answers

A two-step inequality is an inequality that requires more than one step to solve. An example of a two-step inequality is to solve the inequality 2x - 3 ≥ 5.

Example: Solve the inequality 2x - 3 ≥ 5

Step 1: Isolate the variable by adding 3 to both sides: 2x ≥ 8

Step 2: Divide both sides by 2: x ≥ 4

In this example, the first step is to isolate the variable x by adding 3 to both sides of the inequality. In the second step, we divide both sides by 2 to get the final solution of x ≥ 4.

It's worth noting that this inequality has a solution that is an interval, it is x ≥ 4, which means that all values of x that are greater or equal to 4 are solutions of the inequality.

It's important to keep in mind that inequalities may require multiple steps to solve and may not always have a single solution. It's important to check the solution by substituting back into the inequality to make sure it holds true.

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In right angled triangle ABC, ABC = 90°, AC = 17 cm, BC = 15 cm then find the value of AB.​

Answers

Therefore , the solution of the given problem of  Pythagoras theorem is the value of AB is 8cm.

The Pythagoras Theorem is what?

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, , are equal to the squares on the legs.

Here,

Given, in △ABC, ∠B=90

∴AC²=AB²+BC²

By  Pythagoras theorem

=>  AC²=AB²+BC²

=> 17² = 15² + AB²

=> 289 = 225 + AB²

=> 289 - 225 = AB²

=>AB = 64

=>AB = 8

thus , 8cm is the side length of AB

Therefore , the solution of the given problem of  Pythagoras theorem is the value of AB is 8cm.

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What is the solution of 7x 9 16?

Answers

The solution of 7x -9 = 16 is x = 25/7. It is called a linear equation as it contains a highest degree of 1.

The general form of a linear equation is ax + by + c = 0, where a, b, c are real numbers and at least one of a or b is not zero.

In the given equation above, 7x - 9 - 16 = 0.

7x - 25 = 0

Here, a = 7, b = 0, c = -25

To find the solution of this equation, we must make x as subject.

7x - 25 = 0

7x = 25

x = 25/7

Thus, the required solution of the given equation is calculated to be 25/7.

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Find the finance charge for a $4,000, 2-year loan with a 4% APR.

Answers

The finance charge for a $4,000, 2-year loan with a 4% APR would be $320.

What does finance charge mean in finance?

A finance charge is the interest we will pay on a debt and it's generally used in the context of credit card debt. A finance charge is normally calculated by using your annual percentage rate, or APR, the amount of money you owe, and the time period.

To calculate the finance charge, you would use the formula: Finance Charge = (APR/12) x Principal x Time (in months)

In this case: Finance Charge = (4/100/12) x $4,000 x 24 = $320.

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The table shows the length, in inches, of fish in a pond.


15 18 9 22
7 15 10 18


Determine if the data contains any outliers. If so, list the outliers.
There is an outlier at 22.
There is an outlier at 7.
There are outliers at 7 and 22.
There are no outliers.

Answers

In the table that shows the  the length, in inches, of fish in a pond, there are no outlier. Last option

What is an outlier in mathematics?

In mathematics, an outlier is a value that is significantly different from the other values in a dataset. Outliers can be caused by measurement error, data entry errors or by extreme values that are genuinely different from the bulk of the data. They can skew the overall picture of the data and can affect the results of statistical analyses.

Outliers can be identified in several ways, one way is to use a box-and-whisker plot, which shows the distribution of a dataset by displaying the minimum, first quartile, median, third quartile, and maximum values.

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Answer: D

Step-by-step explanation:

I got it right on the test

Fisherman catches in fish their total mass is 15kg write down the average mass of fish in terms of n. if the average mass of a fish was 3/4 kg. Find the number of fish caught​

Answers

Therefore , the solution of problem of  average the number of

fish caught​ is 20.

How can we determine the average?

Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.

For instance, the result of 30 division by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.

Here,

Given,

total mass of fish=15kg

average of fish=3/4kg

number of fish=?

Number of fish=total mass/average

number of fish=15/(3/4)=20

Therefore , the solution of problem of  average the number of  times is

fish caught​ is 20.

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