A student claimed that the two equations
y-8
------ =2
x-1
and y=2x+6 have identical lines as their graphs.Do you agree? Explain

Answers

Answer 1
Solve the first equation for y to compare it to the second equation because the second equation is in terms of y. [tex] \frac{y-8}{x-1} =2 \\ y-8=2(x-1) \\ y-8=2x-2 \\ y=2x+6[/tex]
Since the first equation simplifies and is the same as the second equation, they are identical equations and their lines when graphed will also be identical.

Related Questions

a major league baseball player was able to hit 70 home runs in 162 games. create a unit rate for this information.

Answers

The original rate is 70:162. If you want to find unit rate, you have to find the unit rate for the second rate. First, you divide both sides by 162, and now there is a unit rate of 0.43209876543 home runs in 1 game. 0.43209876543:1
70:162...hmmm... thats hard, I got it, 1.3245:2 
1, sometimes to home runs per game

Mr.Thomas puts up a fence posts from one end of a field to the other equal distance apart. There are 27 posts. The width of each post is 10 cm . The distance between the 2 posts is 30 meters. Find the length of the fence

Answers

First you would convert the 30 meters to centimeters. This gives you 3,000 centimeters.Now multiply 27 times 10 giving you the total length of all of the post. This will be 270 centimeters. Next you will multiply 3,000 centimeters by 26. (The reason we multiply by 26 and not 27 is because there are 27 post. We are only measuring the space between the post, not the number of post, so we subtract 1.) This will give you 78,000 centimeters.

Now add and your final answer is 78,270 centimeters.

26(3,000)+27(10)=78,270
        78,000+270=78,270
                78,270=78,270

Hope this helps :-)

Aubrey bought a sweater on sale for $12.50. This was 1/3 of the original price. What was the original price?

Answers

The answer is $37.50
$12.50*3=$37.50
It is $37.50
All you have to do is multiply 12.50 by 3 to get the answer

What is.the reminder of 6 divided 75

Answers

Is 12r3 I multiplied 12 by 6 added 3
12.5. hope this helps

What is slope of the libe

Answers

the slope of a line usually determines id the line is negative or positive. For example, lines going uphill, or uphill slopes, are positive slopes. The slope will be a positive number such as, yet not limited to, 5, 10, or 57. Or you can also take their counter parts for example, downhill slopes would be considered negative slopes, meaning they go below zero, instead of above, like positive slopes. Hope this helps. :D

The slope of the line in the graph below, which passes through points (0, 3) and (-6, 0) is calculated as: 1/2.

What is the slope of a line?

The slope (m) of a line is given by the formula m = change in y / change in x, where change in y is the change in y-coordinates and change in x is the change in x-coordinates between two points on the line. Using the two points on the line such as (0, 3) and (-6, 0):

Slope = [tex]\[ m = \frac{{0 - 3}}{{-6 - 0}}[/tex]

Slope (m) = -3 / -6

Slope (m) = 1/2

Therefore, the slope of the line is 1/2.

Complete Question:

What is slope of the line (the missing image is given below).

A chef makes 1 1/2 gallons of soup in a large pot. How many 1 cup servings can the chef get from this large pot of soup

Answers

1 1/2 gallons = 12 pints

1pint = 2cups

12 pints x 2cups= 24 cups

So the answer is 24cups

Write a problem that requires multiplying two decimals to find the answer. The product must have two decimals places.

Answers

Mickey found a teddy bear at target for 1.99 he then proceded to buy it and they told him that there was a 0.07 tax on that item. What will the tax be? The answer would be 0.1393 but rounded it would be 10 cents

A problem that requires multiplying two decimals is "If length of a rectangle is 0.2 m and breadth of a rectangle is 0.5 m.Then what is the area of the rectangle ?

What is Multiplication?

Multiplication is an operation that represents the basic idea of adding the same number repeatedly. The multiplied numbers are called factors, and the result obtained after multiplying two or more numbers is called the product of those numbers. Multiplication is used to simplify the task of repeatedly adding the same number.

Manually multiplying numbers to more than a few decimal places is tedious and error-prone. Common logarithms were invented to simplify such calculations, since the addition of logarithms equals multiplication. The slide rule made it possible to quickly multiply the number to an accuracy of about three. Beginning in the early 20th century, mechanical calculators such as the Marchant multiplied numbers up to 10 digits automatically. Modern electronic computers and calculators have greatly reduced the need for manual multiplication.

Here we are taking two decimal numbers 0.2 and 0.5.

If length of a rectangle is 0.2 m and breadth of a rectangle is 0.5 m.Then what is the area of the rectangle ?

Solution: Area of a rectangle = Length × Breadth

[tex] = 0.2 \times 0.5 \\ = 0.10 \: {m}^{2} [/tex]

Here 0.10 is a two decimal number.

Therefore, required problem is A problem that requires multiplying two decimals is "If length of a rectangle is 0.2 m and breadth of a rectangle is 0.5 m.Then what is the area of the rectangle ?

Multiplication related one more question:

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i am a product. one of my factors is 2. the other factor is 1 greater than 4. what number am i

Answers

2 x 5 = 10
 
You are the number 10.
The answer here would be 10. One of the factors for this multiplication problem is already given, which is 2. The other factor, which is basically 4+1, is 5. 2 times 5 equals 10! Hope this helped. 

table shows where there are 156 sixth grade students how many more students attended Sharon ton than deacon

Answers

if you gave the table it would be easier to answer your question

945 round nearest ten

Answers

945 rounded to the nearest ten is 950
I say that the answer is 950

Kristen and Mitchell were given the same math assignment. Kristen completes 0.8 of her work in class. Mitchell completes 0.75 of his work during class. Who has more homework remaining after class?

Answers

Mitchell because if you add a zero at the end of the .8 it would be 0.80 and 0.75 is smaller than 0.80 so Mitchell has more work to do at home

Jeremy has two 7 foot long boards. He needs to cut pieces that are 15 inches long from the boards. What is the greatest number of 15 inch pieces he can cut from the two boards ?

Answers

The most he could get is 5 pieces. 

Work
change 7 foot to inches which it 84
then you do
     84 divided by 15 you should get 5.6 
Your correct answer you should get is 5.6. Hope this helps. :)

A clerk has 1/2 book of stamps on Monday. On Tuesday, he used 1/10 of the book of stamps. How much of the book of stamps is left?

A) 3/10
B) 2/5
C) 3/5
D) 9/10

Answers

0.4.................................

what is an appropriate data display for the distribution of teachers by age?

Answers

not really sure what exactly you are asking, but maybe a bar graph?

2/3 of the product of 3/8 and 16

Answers

2/3 of the product of 3/8 and 16 is 4
Answer : 4

3/8 * 16/1 = 48/8 = 6

2/3 of 6 = 4

What is a value that does not change

Answers

A value that doesn't change is a constant.
it is a constant

You're welcome

What is 0.0059 in scientific notation ?

Answers


the exponent is -3 and you write 5.9E-3 or 5.9⋅10−3

The number 0.0059 in scientific notation is 5.9 × 10^(-3).

We have,

To express 0.0059 in scientific notation, we need to write it in the form of "[tex]a \times 10^b[/tex]," where a is a number between 1 and 10, and b is an integer.

0.0059 can be expressed as [tex]5.9 \times 10^{-3}[/tex] in scientific notation.

The decimal point is moved three places to the right to make the number between 1 and 10, and the exponent is set to -3 to account for the number of decimal places moved.

Therefore,

The number 0.0059 in scientific notation is [tex]5.9 \times 10^{-3}.[/tex]

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Write the divisor of 4/12=1/3

Answers

4/12=3/9=2/6=1/3 should be the right answer. (You have to reduce.)

The divisor for simplifying the fraction 4/12 to 1/3 is 4. Dividing fractions typically involves using the inverse of the second fraction, and fractions are often expressed as percentages by converting the denominator to 100.

The question provided asks to write the divisor of the fraction 4/12 which has been simplified to 1/3. In the context of this fraction, the divisor is essentially the part of the fraction that we are dividing by, which, in this case, is the denominator.

When the fraction 4/12 is simplified, both the numerator (top number) and the denominator (bottom number) are divided by their greatest common divisor, which is 4. Therefore, the divisor used in the simplification process of 4/12 to 1/3 is 4.

what is 38425 rounded to the nearest thousand

estimate the product of 59 and 42

Answers

I would say that for the first question the answer is 38,000 and for the second option 2,500.

hope this helps :)
38,425 rounded to the nearest thousand is 38,000. And an estimate of 59 and 42 would be 2,400.

Draw a diagram that shows 1/5 times 30 equals 6

Answers

1    30     30
-- x ---- = ----   ---> 30/5 = 6
5      1       5

30 is a full number but it can turn into a fraction. The whole number (30) will be the numerator (the top number) and 1 is basically "the quantitative number" aka the denominator (the bottom number).

The final result of this problem is 30 over 5. Which you can divide. Always divide the numerator to the denominator to get your answer (for this kind of problem).

the capacity of a container is 2060 milliliters convert this to liters

Answers

Alright, there are 1,000 millimeters in 1 liter.

There will be 2 liters and 60 millimeters left over.

Our final answer : 2.06

The capacity of a container in liters : 2.06

Further explanation

Volume is a derivative quantity derived from the length

The unit of volume can be expressed in liters or milliliters or cubic meters

The conversion is

1 cc = 1 cm³

1 dm³ = 1 Liter

1 mL = 1 cm³

The capacity of a container is 2060 milliliters

if we look at the volume conversion sequence, the position of ml is below l by one levels, so if we change from ml to l then the conversion goes up one level so our volume value is divided by 1000

The division of numbers with the number 10,100, etc. can be done by shifting left according to the number of zeros in the numbers:

Because our numbers are divided by 1000, we move the commas from right to left by 3

So:

2060 : 1000

[tex]\large{\boxed{2}\boxed{0}\boxed{6}\boxed{0}}\Rightarrow\large{\boxed{2}\boxed,\leftarrow\boxed{0}\leftarrow\boxed{6}\leftarrow\boxed{0}[/tex]

[tex]\large{\boxed{\boxed{\bold{= 2.06~liters}}}[/tex]

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the quantity of 0.0075 meters expressed in centimeters

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Keywords:volume, liters, mililiters

Which situation is not an example of a linear function?
A) The distance traveled if a car is driving at a constant rate of 60 miles per hour.
B) The cost of the bill if a cell phone company charges an initial fee of $25 plus $45 per month.
C) The amount of cake each person gets to eat if a cake is divided equally among the guests at a party.
D) The amount of time spent grading papers if a teacher grades one paper every 8 minutes and takes a 10 minute break.

Answers

100% C i have already done this 

Answer:

c

Step-y-step explanation:

What is the quotient and remainder for 32 and 6

Answers

The quotient is 5, and the remainder is 2.



6 x 5=30. add the 2 remainders, and then you get 32.
Hi :)

Set up your equation as so
32/6 

The exact for of the final solution would be so [tex] \frac{16}{3} [/tex]

The decimal form would be 5.33333333…<< That's a repeating decimal. 

The mixed fraction form would be [tex]5 \frac{1}{3} [/tex]

Hope this helps. :)

A wild tiger can eat up to 55 pounds of meat in a day. About how many days would it take for a tiger to eat the following prey?


Answers

Eland Antelope: 31 49/55
Boar: 12 1/55
Chital Deer: 3 18/55
Water Buffalo: 42 12/55 

Marshall's mother buys 2 boxes of granola bars each week. Each box contains 8 granola bars. If she continues buying 2 boxes each week, how many granola bars will she buy in a year (1 year = 52 weeks)?

Answers

if Marshall's mother continues to buy two boxes each week Marshall's mother will have 832
2 * 8 * 52= 832

Two times eight times fifty-two equals eight hundred thirty-two.

Caroline swam 525 meters in 5 minutes at a constant speed. At what speed was she swimming?

Answers

She was swimming at 105 meters

If you want to know how fast she was going per minute then you divide how far she went by how long she took. So 525 divided by 5 and it equals 105.

a sugar solution was made by mixing 8 qt of a 2% sugar solution and 6 qt. of a 51% sugar solution. find the concentration of the new mixture

Answers

16 + 306 = 1400x
322 = 1400x
x = 322/1400
x = 0.23 = 23% (That is the concentration of the mixture)Equation:
sugar + sugar = sugar
0.02*8 + 0.51*6 = x(8+6)

Multiply thru by 100 to get:
-----
2*8 + 51*6 = 1400x

Final answer:

The new mixture, combined from an 8 qt 2% sugar solution and a 6 qt 51% sugar solution, has a sugar concentration of approximately 22.86%.

Explanation:

To find the concentration of the new mixture, we first need to understand that the total amount of sugar in the solution is the sum of the sugar in the 2% solution and the 51% solution. We are mixing 8 qt of a 2% sugar solution and 6 qt of a 51% sugar solution.

First, to find the total amount of sugar in the 2% mixture, multiply 8 qt by 2% (or 0.02). This gives:8 qt * 0.02 = 0.16 qtof sugar.

Second, do the same for the 51% solution: 6 qt * 0.51 = 3.06 qt of sugar.

Add these two amounts to find the total quantity of sugar: 0.16 qt + 3.06 qt = 3.22 qt.

The total volume of the solution is the sum of both volumes, or 8 qt + 6 qt = 14 qt.

Finally, we find the concentration of sugar in the new solution by dividing the total quantity of sugar by the total volume of the solution, and then multiplying by 100 to get a percentage:

(3.22 qt / 14 qt) * 100 = 22.86%

So, the new mixture has a sugar concentration of about 22.86%.

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The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes spent producing fruit cans, and y = number of minutes producing vegetable cans. If the vegetable assembly line runs for 3 minutes, how many minutes would the fruit assembly line need to run to complete the order of 384 cans? Explain.

Answers

Answer: 8 minutes


Step-by-step explanation:

Given equation: 24x + 64y = 384, that represents the canned goods order .

where x = number of minutes spent producing fruit cans,

and y = number of minutes producing vegetable cans.

If the vegetable assembly line runs for 3 minutes, then put y=3 in equation we get

[tex]24x+64(3)=384\\\Rightarrow24x+192=384\\\Rightarrow24x=384-192\\\Rightarrow24x=192\\\Rightarrow\ x=\frac{192}{24}\\\Rightarrow\ x=8[/tex]

Therefore,  the fruit assembly line need to run to complete the order of 384 cans in 18 minutes.

Answer:

Substitute 3 into the equation for y. Solve for x and find that x = 8. So if cans of vegetables are processed for 3 minutes, fruit needs to be processed for 8 minutes to complete the 384-can order.

Step-by-step explanation:

sample response on edge 2023

what's 34.6 times 10 to the second power in scientific notation

Answers

Since it's 10 to the 2nd power, you just move the decimal places 2 places to the right.

So the answer is 3460
First off, 10 to the second power is 100; if you didn't know. There are 2 zeros in 100 which means you have to move the decimal point 2 digits to the right. 34.6 would turn into 3460

write a problem for the equation 4.65=x-2.35. Then solve the equation and write the answer to your problem:)

Answers

Todd was cutting apples. He saw that by cutting exactly 2.35 apples from his starting amount, he had 4.65 apples left. How many apples did Todd start with?
4.65=x-2.35
+2.35  +2.35
x=7
Todd started with 7 apples.

Final answer:

To solve 4.65 = x - 2.35, we add 2.35 to both sides, resulting in x = 7, indicating you had $7 initially.

Explanation:

Let's create a mathematical problem for the equation 4.65 = x - 2.35. Imagine you had $4.65 and you spent $2.35 on a snack. You want to calculate how much money you had before buying the snack. To solve this equation, follow these steps:

Add 2.35 to both sides of the equation to isolate the variable x on one side. So, it becomes 4.65 + 2.35 = x.

Combine like terms on the left-hand side, which gives x = 7.

Therefore, you initially had $7 before spending $2.35 on a snack.

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