Write an equation that represents the line.

use exact numbers​

Write An Equation That Represents The Line. Use Exact Numbers

Answers

Answer 1

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)


Related Questions

What are some sources of new mathematical symbols that have been widely used?

Answers

the sum of three cubes

Grace used a container shaped like a cylinder for her dog's food. It's radius is 4 inches and it's height is 5 inches. find the volume of the container in cubic inches. PLEASE HELP , DON'T PUT SPAM LINKS!

Answers

Answer:

251.33 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder = πr²h

r = Radius = 4 inches

h = Height = 5 inches

Volume of a Cylinder = π × 4² × 5

= 251.32741 cubic inches

Approximately , the Volume of the cylinder = 251.33 cubic inches.

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.

Answers

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

How to change the equation to slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich

((HELP ASAP RN PLEASE))
One large jar and three small jars together can hold 14 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam.

Use matrices to solve the equation and determine how many ounces of jam are in each type of jar. Show or explain all necessary steps.

((HELP ASAP RN PLEASE))One large jar and three small jars together can hold 14 ounces of jam. One large

Answers

Answer:

Step-by-step explanation:

To solve the given problem using matrices, let's represent the number of ounces of jam in each type of jar as variables.

Let:

L = Number of ounces of jam in the large jar

S = Number of ounces of jam in each small jar

Based on the given information, we can create the following equations:

Equation 1: L + 3S = 14 (One large jar and three small jars together can hold 14 ounces of jam)

Equation 2: L - S = 2 (One large jar minus one small jar can hold 2 ounces of jam)

We can represent these equations in matrix form as follows:

| 1   3 |   | L |   | 14 |

| 1  -1 | * | S | = |  2 |

To solve the system of equations, we can use matrix inversion. First, let's calculate the inverse of the coefficient matrix:

| 1   3 |   | a   -3 |

| 1  -1 | = | 1   -1 |

Next, multiply the inverse of the coefficient matrix by the constant matrix:

| a   -3 |   | 14 |   | L |

| 1   -1 | * |  2 | = | S |

Performing the matrix multiplication, we get:

(14a - 3*2) = L

(a - 2) = S

Simplifying the equations, we have:

14a - 6 = L

a - 2 = S

Now, we can substitute the value of "a" into the equation for "L" to solve for "L":

14a - 6 = L

14(a - 2) - 6 = L

14a - 28 - 6 = L

14a - 34 = L

So, we have found that L = 14a - 34.

Now, we can substitute the value of "a" into the equation for "S" to solve for "S":

a - 2 = S

Since we don't have a specific value for "a," we can express "S" in terms of "a" as well:

S = a - 2

So, we have found that S = a - 2.

Therefore, the solution for the system of equations is L = 14a - 34 and S = a - 2, where "a" represents any real number.

This means that the number of ounces of jam in the large jar can be represented as 14 times any real number "a" minus 34, and the number of ounces of jam in the small jars can be represented as any real number "a" minus 2. The specific values for L and S would depend on the chosen value of "a".

Answer:

large: 5 ozsmall: 3 oz

Step-by-step explanation:

You want a matrix solution to the equations represented by ...

  \(\left[\begin{array}{cc}1&3\\1&-1\end{array}\right] \left[\begin{array}{c}l\\s\end{array}\right] =\left[\begin{array}{c}14\\2\end{array}\right]\)

Augmented matrix

Adding the coefficients as a column in the coefficient matrix, we get the augmented matrix ...

  \(\left[\begin{array}{cc|c}1&3&14\\1&-1&2\end{array}\right]\)

Row reduction

Replacing the second row with the difference of the first and second rows, we have ...

  \(\left[\begin{array}{cc|c}1&3&14\\0&4&12\end{array}\right]\)

This upper triangular form is sufficient to tell the solution. The remaining steps formalize that solution.

Dividing the second row by 4 gives ...

  \(\left[\begin{array}{cc|c}1&3&14\\0&1&3\end{array}\right]\)

Finally, subtracting 3 times the second row from the first gives the solution.

  \(\left[\begin{array}{cc|c}1&0&5\\0&1&3\end{array}\right]\)

This tells us

  \(\left[\begin{array}{c}l\\s\end{array}\right] =\left[\begin{array}{c}5\\3\end{array}\right]\)

A large jar holds 5 ounces of jam; a small jar holds 3 ounces.

__

Additional comment

We could also solve this by computing the inverse of the coefficient matrix, and left-multiplying each side of the equation by that.

We like the calculator's ability to write the augmented matrix in "reduced row-echelon form" in one step. Using matrix multiplication requires more work, even with the calculator's help.

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((HELP ASAP RN PLEASE))One large jar and three small jars together can hold 14 ounces of jam. One large

When women were allowed to become pilots of fighter jets, engineers needed to redesign the ejection seats because they had been originally designed for men only. The ACES-II ejection seats were designed for men weighing between 140LB and 211LB. Weights of women are now normally distributed with a mean of 165LB and a standard deviation of 45.6LB
a. If 1 woman is randomly selected, find the probability that her weight is between 140LB and 211LB
b. If 36 different women are randomly selected, find the probability that their mean weight is between 140LB and 211LB

Answers

The probability that the mean weight of 36 different women is between 140LB and 211LB is approximately 0.9874.

Is it possible for a random variable to have 0 probability across the board?

There can only be one value for a random variable. A random variable's value could be zero with a probability of zero. A probability distribution's total probabilities are always equal to one.

a. We must convert the weight to a typical normal distribution using the following formula in order to determine the likelihood that a randomly chosen woman weighs between 140LB and 211LB.

z = (x - μ) / σ

If the weight x, the mean weight, and the standard deviation are all given. The probability can then be determined using a calculator or a typical normal table.

When x=140LB, we get:

z = (140 - 165) / 45.6 = -0.5461

x = 211LB results in:

z = (211 - 165) / 45.6 = 1.0096

The area under the standard normal curve between z = -0.5461 and z = 1.0096 is found to be roughly 0.6267 using a typical normal table or calculator.

Hence, the likelihood that a lady chosen at random weighs between 140LB and 211LB is roughly 0.6267.

b. We must normalise the sample mean to a standard normal distribution using the following method in order to determine the likelihood that the mean weight of 36 individual women is between 140LB and 211LB.

z is equal to (x - ) / (n / sqrt(n)).

When n is the sample size, x is the sample mean weight, is the mean weight, and is the standard deviation. The probability can then be determined using a calculator or a typical normal table.

To solve this issue, we have:

μ = 165LB

σ = 45.6LB

n = 36

If x = 140 LB, we get:

z = (140 - 165) / (45.6 / sqrt(36)) = -2.4994

With x = 211LB, we get:

z = (211 - 165) / (45.6 / sqrt(36)) = 2.4994

The area under the standard normal curve between z = -2.4994 and z = 2.4994 is found to be around 0.9874 using a standard normal table or calculator.

Hence, there is a roughly 0.9874 percent chance that the average weight of 36 individual women falls between 140LB and 211LB.

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WARM-UP OCTOBER 28, 2020MIDPOINT AND DISTANCE IN THE COORDINATE PLANEFor each of the points given, find the distance between each points as well as the midpoint.1. (0,0) & (5,0)2. (4,6) & (2,5)3. (8, 10) & (9,6)4. (2,0) & (9,9)5. (1,1) & (3, 1)6. (7,9) & (0.10)7. (1,3) & (8,7)8. (42) & (0.9)

Answers

Given two points (x1, y1) and (x2, y2), the coordinates of the midpoint M are found as follows:

\((x_M,y_M)=(\frac{x_1+x_2_{}}{2},\frac{y_1+y_2}{2})\)

The distance (d) between these two points is computed as follows:

\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)

2. (4,6) & (2,5)

\(undefined\)

PLEASE ANSWER QUICKLY

PLEASE ANSWER QUICKLY

Answers

Answer:

C. Both have the same y- intercept

Step-by-step explanation:

It’s c, hope this helps :>

find the value of x in the Triangle shown below 6. 10

find the value of x in the Triangle shown below 6. 10

Answers

We can use Pythagoras's theorem expression:

\(h^2=a^2+b^2\)

Where h is the hypotenuse of the triangle and a and b are its legs, in this case, we have the value of the length of one leg and the value of the length of the hypotenuse, then we can solve for the other leg length like this:

\(\begin{gathered} h^2=a^2+b^2 \\ h^2-a^2=b^2 \\ b^2=h^2-a^2 \\ b=\sqrt[]{h^2-a^2} \end{gathered}\)

Now let's replace the values from the figure, b is x, h is 10 and a is 6

\(\begin{gathered} b=\sqrt[]{h^2-a^2} \\ x=\sqrt[]{10^2-6^2} \\ x=\sqrt[]{100-36} \\ x=\sqrt[]{64} \\ x=8 \end{gathered}\)

Then, x equals 8

8x+4x=0 how many solutions does it have

Answers

Answer:

1, in which x = 0.

Step-by-step explanation:

First, combine 8x and 4x to get 12x.

Now, we have 12x = 0.

We know that if the product of two numbers is equal to 0, at least one of them must be 0.

12 is not equal to 0, so x must be equal to 0.

Therefore, x = 0, and that is the only solution.

Answer:

1 solution

Step-by-step explanation:

add like terms

12x=0

divide both sides by 12

x=0

if the racetrack publishes that the odds in favor of a horse winning a race are 2 to 6, what is probability that the horse will not win the race? a) 0.1667 b) 0.2500 c) 0.7500 d) 0.0833 e) 0.5000 f) none of the above.

Answers

The probability that the horse will not win the race is 0.7500.

The mathematical branch known as probability deals with determining the possibility of an event occurring. The conversions between probability and odds are feasible. This is because the odds are determined by dividing the likelihood that an event will occur by the likelihood that it won't.

Here, the odds of a horse winning a race are given as 2 to 6. Then, the probability of winning the horse race is calculated as,

\(\begin{aligned}\text{Odds}&=\frac{p}{1-p}\\\frac{2}{6}&=\frac{p}{1-p}\\2(1-p)&=6p\\2-2p&=6p\\2&=6p+2p\\8p&=2\\p&=\frac{2}{8}\\&=\frac{1}{4}\end{aligned}\)

Then, the probability of not winning the horse race is,

\(\begin{aligned}q&=1-p\\&=1-\frac{1}{4}\\&=\frac{3}{4}\\&=0.75\end{aligned}\)

The answer is 0.75. Therefore, the correct option is option c.

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3) Margarita manejó 429 km: 42 en la ciudad y el resto, en la autopista.
Su carro rinde 28km por galón de gasolina en la ciudad y 36 km, en la
autopista.
¿Cuánto gastó en el viaje. si el galón de gasolina le cuesta $3.30?|

Answers

Answer:

Margarita gastó $40.43.

Step-by-step explanation:

Tenemos la siguiente información.

km recorridos por Margarita

42 km - ciudad

387 km - autopista

Rendimiento del carro

1 galon cada 28 km - ciudad

1 galon cada 36 km - autopista

Hacemos el siguiente factor de conversión

Ciudad

\(42 km \times \frac{1\: galon}{28\: km}=1.5\: galones\)

Autopista

\(387 km \times \frac{1\: galon}{36\: km}=10.75\: galones\)

Ahoa, se sabe que 1 galon cuesta $3.30. Por lo tanto, el costo de viaje será:

Total galones = 1.5 + 10.75 = 12.25 galones

Total costo = 3.30*12.25 = $40.43.

Espero te haya servido!

Q. Find the missing side

Q. Find the missing side

Answers

Answer:

What missing side? You're missing a picture.

find a9 if the geometric sequence is: 567,-189,63

Answers

Answer:

3720087

Step-by-step explanation:

Given that,

A geometric sequence : 567,-189,63

First term is : 567

Common ratio : 567/-189 = -3

The nth term of a GP is given by :

\(a_n=ar^{n-1}\)

n = 9

So,

\(a_9=567\times (-3)^{9-1}\\\\a_9=3720087\)

So, the 9th term of the geometric sequence is 3720087.

When solving a system of linear equations, try to algebraically form one equation that has only one variable. T/F

Answers

False. Solving a system of linear equations requires solving for multiple variables.

To solve for a single variable, you would only need to solve one equation.

To solve a system of linear equations, you need to use methods such as elimination, substitution, or graphing. For example, consider the system of equations:

3x + y = 7

2x - y = 4

To solve this system, you could use elimination by adding the equations together. This would give you the equation 5x = 11. To solve for x, you would then divide both sides by 5, giving you x = 11/5.

Once you have solved for x, you can substitute this value into either of the original equations to solve for y. In this example, substituting 11/5 for x into the first equation would give you 3(11/5) + y = 7. Simplifying this equation gives you y = -2/5.

Therefore, the solution to this system of linear equations is x = 11/5 and y = -2/5.

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What multiplication equattion can be used to explain the solution to 15 / 1/3

Answers

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

To explain the solution to 15 divided by 1/3, we can use a multiplication equation. The division of 15 by 1/3 is equivalent to multiplying 15 by the reciprocal of 1/3.

Reciprocal of 1/3 = 3/1

So, the multiplication equation that explains the solution is:

15 * (3/1) = 45

Therefore, 15 divided by 1/3 is equal to 45.

HELP ASAP ALGEBRA 1!!! WILL MARK BRAINLIST

HELP ASAP ALGEBRA 1!!! WILL MARK BRAINLIST

Answers

Answer:

22/15 is the answer.

Step-by-step explanation:

By using the slope formula, you get 4/5 as the slope for the table, and by adding 4/5 + 2/3, you get 22/15.

Please give brainliest, thanks!

Hi the answer to that would be 22/15 because it is 4/5 (12/15) plus 2/3 (10/15) which sums up to 22/15.

Anya earns $150 less than three times Rick's monthly salary. If Rick's salary is represented by x which expression represents Anya's salary
A x-3- $150
B 3(x+$150)
C 3(x-$150)
D 3x-$150
E 3x+$150​

Answers

Ricks Salary: x
Anya earns $150 less than three times Rick’s salary.

Your answer is 3x - $150

This is because his salary is 3x more than hers and $150 dollars less. Less usually indicates subtraction, and times usually indicates multiplication.

Apologies if anything is incorrect.

Answer:

d

Step-by-step explanation:

3 multiplied by ricks salary minus 150

4. Find the product. Simplify
your answer.
(5x + 1)(5x - 1)

Answers

Answer:

25x² - 1

Step-by-step explanation:

Given

(5x + 1)(5x - 1)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(5x - 1) + 1(5x - 1) ← distribute both parenthesis

= 25x² - 5x + 5x - 1 ← collect like terms

= 25x² - 1

Katy's 4 dogs eat a total of 16 dog biscuits every day. How many biscuits will they eat in 45 days?
180 biscuits
64 biscuits
315 biscuits
720 biscuits

Answers

I’m pretty sure it 64

Answer:

720

Step-by-step explanation:

16 times 45

a climber starts descending from 540 feet above the sea level and keeps going until she reaches 20 feet below sea level.How many feet did she descend?

Answers

Answer: -520

Step-by-step explanation: rather than 540-20 you'll do 20-540 and get -520 plus it's below sea level, so you know it's a negative

What are the coordinates of the point on the directed line segment from (-6, 8)(−6,8) to (-2, -8)(−2,−8) that partitions the segment into a ratio of 5 to 3?

Please help im having issue with this

Answers

The coordinates of the point on the directed line segment that partitions the segment into a ratio of 5 to 3 are [-3.5, -2].

How to determine the coordinates of P?

In this exercise, line ratio would be used to determine the coordinates of the point on the directed line segment that partitions the segment into a ratio of 5 to 3.

Mathematically, line ratio can be used to determine the coordinates of P and this is modeled by this mathematical expression:

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Given the following parameters:

Point (x, y)= (-6, 8)Point (x, y) = (-2, -8)m:n = 5:3

Substituting the given parameters into the line ratio formula, we have;

P(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

P(x, y) = [(5(-2) + 3(-6))/(5 + 3)],  [(5(-8) + 3(8))/(5 + 3)]

P(x, y) = [(-10 + (-18))/(5 + 3)],  [(-40 + 3(8))/(5 + 3)]

P(x, y) = [(-10 - 18)/(8)],  [(-40 + 24)/(8)]

P(x, y) = [(-28)/(8)],  [(-16)/(8)]

P(x, y) = [-3.5, -2]

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Find the limit of f(x)= 9− x 2
2
−6+ x
9
as x approaches [infinity] and as x approaches −[infinity]. lim x→[infinity]
f(x)= (Type a simplified fraction.) lim x→−[infinity]
f(x)=

Answers

The limit as x approaches infinity and negative infinity of \(f(x) = (9 - x^2)/(2 - 6x)\) is 1.

To find the limit of the function \(f(x) = (9 - x^2)/(2 - 6x)\) as x approaches positive infinity and negative infinity, we can analyze the highest power terms in the numerator and denominator.

As x approaches positive infinity:

The term \(-x^2\) in the numerator becomes negligible compared to the x term.

The term -6x in the denominator dominates, and the function approaches -6x/(-6x) = 1 as x becomes larger and larger.

Therefore, the limit as x approaches positive infinity is 1.

As x approaches negative infinity:

Again, the term \(-x^2\) in the numerator becomes negligible compared to the x term.

The term -6x in the denominator dominates, and the function approaches -6x/(-6x) = 1 as x becomes more and more negative.

Therefore, the limit as x approaches negative infinity is also 1.

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Find the total surface area of the triangular prism.

Find the total surface area of the triangular prism.

Answers

Answer:

Step-by-step explanation:

The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

determine by how many orders of magnitude the quantities differ. a $100 bill and a dime.

Answers

A $100 bill and a dime differ by a magnitude of 3.

Orders of magnitude can be used in order to define large quantities efficiently and more easily. A dime is a currency used in the US that is equivalent to 0.10 dollars.

So we can represent a dime as 10-¹ of a dollar

and we can write 100 dollars as 10² of a dollar.

Therefore the difference in the order of magnitude of 100 dollars and a dime would be the difference between the powers or exponents of those two quantities,

That is,

2-(-1) = 3

So, the dollar differs by a magnitude of 3 from a dime.

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the correlation coefficient will always take values

Answers

The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1  indicates positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.

A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.

Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.

The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.

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Which of the following values is closest to the standard deviation for the setof data shown below?

Which of the following values is closest to the standard deviation for the setof data shown below?

Answers

Given: The set of data shown

To Determine: The value closest to the standard deviation for the set of data shown

Solution

The formula for finding the standard deviation for a set of data is

\(\begin{gathered} standard-deviation(\sigma)=\sqrt{\frac{1}{n}\sum_{i\mathop{=}1}^n(x_i-\mu)^2} \\ \mu=mean \\ x_1=individual-values \\ n=total-number-of-values \end{gathered}\)

Let us first determine the mean

\(undefined\)

the numerator of a fraction is 6 less than the denominator. if three is added to the numerator the fraction is equal to 2/3. find the original fraction

Answers

A fraction is a mathematical representation of a part of a whole or a division of a quantity into equal parts. It consists of a numerator and a denominator, separated by a horizontal line or slash. The numerator represents the number of parts being considered, while the denominator represents the total number of equal parts that make up the whole.

Let's assume the original fraction is represented by the numerator (N) and the denominator (D).

According to the given information, the numerator of the fraction is 6 less than the denominator. This can be expressed as:

N = D - 6

Additionally, it is stated that if three is added to the numerator, the resulting fraction is equal to 2/3. This can be written as:

(N + 3) / D = 2/

To solve this system of equations, we can substitute the value of N from the first equation into the second equation:

((D - 6) + 3) / D = 2/3

Simplifying, we have:

(D - 3) / D = 2/3

Now, we can cross-multiply:

3(D - 3) = 2D

Expanding the equation:

3D - 9 = 2D

Subtracting 2D from both sides:

D - 9 = 0

Adding 9 to both sides:

D = 9

Now that we have found the value of the denominator (D), we can substitute it back into the first equation to find the numerator (N):

N = D - 6

N = 9 - 6

N = 3

Therefore, the original fraction is 3/9, which can be simplified to 1/3.

In summary, the original fraction is 1/3.

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In an expression using the logical operator ____, as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false. a. OrElse b. Nor c. AndAlso d. Xor

Answers

In an expression using the logical operator And Also, as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false.

The And Also operator is a short-circuiting operator that is used to combine two or more Boolean expressions. It evaluates the left-hand expression first and then the right-hand expression only if the left-hand expression evaluates to true

. If the left-hand expression evaluates to false, then the right-hand expression is not evaluated at all. This helps to improve the performance of the code by avoiding unnecessary evaluations of expressions that would not change the outcome of the overall condition.

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In an expression using the logical operator And Also , as soon as one of the compound conditions is found to be false, no further conditions are tested and the expression evaluates to false. Therefore option c. And Also correct.

This is because the AndAlso operator employs short-circuit evaluation, meaning it stops evaluating once it encounters

the first false condition since the overall result will definitely be false.

In an expression using AndAlso, if the first condition is false, the entire expression is evaluated as false without testing

any further conditions. This is also known as short-circuit evaluation.

In contrast, the OrElse operator evaluates to true as soon as one of the compound conditions is true, without testing

any further conditions. The Nor and Xor operators are less commonly used and have different behavior.

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ZOOM IN Scroll down


Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?

A Enzo is correct because he used a factor of 2 to enlarge the rectangle.

b Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.

c Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.

d Enzo is not correct because he did not multiply the length and width by the same factor.

ZOOM IN Scroll downEnzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters.

Answers

Answer:

d.

Step-by-step explanation:

The measurements should be multiplied by the same factory. If 8 is multiplied by 2, so should 5 to make the rectangular 16×10.

The length of a rectangular pool is
L yards, and it's width is 4 yards
shorter than it's length. Write an
expression for perimeter of that
pool.

Answers

Answer:

4L-8

Step-by-step explanation:

Formula: L+L+(L-4)+(L-4)

=L+L+L-4+L-4

=4L-8 (hope this explains you the problem)

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