awnser for this question

Awnser For This Question

Answers

Answer 1

The equation of the line that is parallel to k and passes through (-1, 3) is

- x + 2y = 7

How to find the equation of a line?

The equation of a line can be represented in different form such as point slope form, slope intercept form and standard form.

Therefore, the equation of the line is parallel to k.

Parallel line shave the same slope.

Therefore, let's find the slope of k to find the slope of the equation of the line.

Hence, using (7, 2)(1, -1)

m = -1  - 2 / 1 - 7

m = - 3 / -6

m = 1/ 2

Therefore, the slope of the line is 1 / 2. Let's find the y-intercept using the point (-1, 3)

3 = 1 / 2(-1) + b

3 = - 1 / 2 + b

b = 3 + 1 / 2

b = 7 / 2

Hence, the equation is as follows;

y = 1  /2x + 7 / 2

2y = x + 7

2y - x = 7

- x + 2y = 7

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Related Questions

Solve the following equation for y, simplifying all fractions: 6x + 10y = - 80 a) y = 3 X - 8 5 3 X 8 b) y alw c) y -x + 8 w л | о л | d) y = x – 8

Answers

Solving a linear equation with 2 variables

First isolate y term

10 y = -6x - 80

Now divide by 10

y = (-6/10)x -(80/10)

y = (-3/5)x - 8

15. Name the indicated parts of this diagram.AC __________________AE __________________DE __________________AB __________________ADE __________________________ACE = _______°CAB = _______°

Answers

SOLUTION:

We want to name the indicated parts on the diagram, their names are;

For the angles, we have;

[tex]\begin{gathered} \measuredangle ADE=22^o\text{ }(Inscribed\text{ }Angle) \\ \measuredangle ACE=44^o\text{ }(Central\text{ }Angle) \\ \measuredangle CAB=90^o\text{ }(Angle\text{ }between\text{ }radius\text{ }and\text{ }tangent) \end{gathered}[/tex]

4x^2+10x-4 divided by 2x-1

Answers

The division of 4 · x² + 10 · x - 4 by 2 · x - 1 is equal to (2 · x + 6) + 2 / (2 · x - 1).

How to divide a polynomial by algebra properties

In this problem we find a second grade polynomial, also known as quadratic function, being divided by a first grade polynomial, also known as linear function. The complete procedure is shown below:

4 · x² + 10 · x - 4                                                     Given4 · x² - 2 · x + 12 · x - 4                                           Definition of subtraction / Distributive property(4 · x² - 2 · x) + (12 · x - 6) + 2                                 Existence of additive inverse / Modulative, commutative and associative property2 · x · (2 · x - 1) + 6 · (2 · x - 1) + 2                           Definition of power / Definition of multiplication / Distributive property(2 · x + 6) · (2 · x - 1) + 2                                          Distributive and commutative properties(2 · x + 6) + 2 / (2 · x - 1)                                          Dividing (5) by (2 · x - 1) / Result

The resulting polynomial is (2 · x + 6) + 2 / (2 · x - 1).

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Jodi bough a new car with 14 gallon gas tank. Around the town she is able to drive 336 miles on one tank of gas. on her first trip traveling on highways, she drives 448 on one tank of gas.A: Write a compound inequality in compact from the represents how many miles Jodi can drive on a tank of gas. Let m represent the number of miles per gallon.B: Rewrite the compound inequality as two simply inequalities separate by either and or, or.C: Solve each simple inequality. Then write the solution in compact form.

Answers

We have the following:

A.

Let m represent the number of miles per gallon, the inequality would be as follows

[tex]\frac{336}{14}\leq m\leq\frac{448}{12}[/tex]

B. In two simple inequalities we have this

[tex]m\ge\frac{336}{14}\text{ or }m\leq\frac{448}{14}[/tex]

C.

[tex]\begin{gathered} m\ge24\text{ or }m\leq32 \\ 24\leq m\leq32 \end{gathered}[/tex]

5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability that a king will be drawn on the second selection? b. if the king is not replaced, what is the probability that a king will be drawn on the second selection? c. in part (b), are we assuming the card selections are independent? justify your answer.

Answers

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

What is meant by probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above​

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PLEASE HELP URGENT HELP PLEASE!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]y = \frac{w}{h - 5c^{3}}[/tex]

Step-by-step explanation:

separate y from everything

[tex]w = y(h - 5c^{3})[/tex]

now divide everything by the thing in the parenthesis

[tex]\frac{w}{h - 5c^{3}} = y[/tex]

now flip it

[tex]y = \frac{w}{h - 5c^{3}}[/tex]

that is your answer

Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A (4, 5), B (12,9); 3 to 1 The coordinates of P are:

Answers

By applying line ratio, the coordinates of P are: [10, 8].

How to determine the coordinates of P?

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 A (4, 5)Point B (12, 9)m:n = 3:1

Substituting the given parameters into the formula, we have;

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

P(x, y) = [(3(12) + 1(4))/(3 + 1)],  [(3(9) + 1(5))/(3 + 1)]

P(x, y) = [(36 + 4)/4], [(27 + 5)/4]

P(x, y) = [40/4, 32/4]

P(x, y) = [10, 8].

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Two freight trains are delivering cargo. One freight train is delivering coal, and the other freight train is delivering grain. Their respective distances traveled after x hours is represented in the table and graph below.

Answers

Solution

- In order to find which of the trains is moving faster, we should calculate the average speeds of both trains and compare them.

- The y-values of both trains are the Distance in Miles and the x-axis is the time in hours.

- Thus, the best way to calculate their average speeds is to find the slope of both datasets.

- The formula for calculating the slope is given below:

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where,} \\ (x_1,y_1)\text{ and (}x_2,y_2)\text{ are coordinates chosen} \end{gathered}[/tex]

- Thus, with the above information, we can proceed to solve the question

Speed of Coal Freight Train:

[tex]\begin{gathered} \text{ Choosing } \\ (x_1,y_1)=(1,49) \\ (x_2,y_2)=(2,98) \\ \\ m_C=\frac{y_2-y_1}{x_2-x_1}=\frac{98-49}{2-1} \\ \\ \therefore m_C=49\text{miles per hour} \end{gathered}[/tex]

Speed of Grain Freight Train:

[tex]\begin{gathered} \text{Reading off the graph that passes through the origin, we choose:} \\ (0,0)\text{ and }(1,45) \\ \\ \therefore m_G=\frac{45-0}{1-0}=45 \\ \\ m_G=45\text{miles per hour} \end{gathered}[/tex]

- From the above calculations, we can easily observe that the Speed of the Coal Freight Train is greater than the speed of the Grain Freight Train

Final Answer

"The Coal Freight Train is traveling at a faster speed" (OPTION 2)

Remington purchased a new cell phone for $350 and added an annual warranty plan that cost him $35 per year. In what year will Remington's average annual cost of owning the phone be $122.50? Type your answer....​

Answers

Answer:

3 years and 6 months

Step-by-step explanation:

35 × 3= 105 + 17 = 122

2.916 a month × 6 = 17. 496. And round to the nears while number = 17.50 = 105 + 17.50 = 122.5 or 122.50 zero fir place holder.

Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians.)2 cos 2x − 1 = 0

Answers

Given:

The function is:

[tex]2\cos2x-1=0[/tex]

Find-:

The value of "x"

Explanation-:

The value of x is:

[tex]\begin{gathered} 2\cos2x-1=0 \\ \\ 2\cos2x=1 \\ \\ \cos2x=\frac{1}{2} \\ \end{gathered}[/tex]

Solve for x is:

[tex]\begin{gathered} \cos2x=\frac{1}{2} \\ \\ 2x=\cos^{-1}(\frac{1}{2}) \\ \\ 2x=\frac{\pi}{3}+2\pi n\text{ and }2x=\frac{5\pi}{3}+2\pi n \end{gathered}[/tex]

The value of "x" is:

[tex]\begin{gathered} 2x=\frac{\pi}{3}+2\pi n \\ \\ x=\frac{\pi}{2\times3}+\frac{2\pi n}{2} \\ \\ x=\frac{\pi}{6}+\pi n \end{gathered}[/tex]

Another value of "x" is:

[tex]\begin{gathered} 2x=\frac{5\pi}{3}+2\pi n \\ \\ x=\frac{5\pi}{3\times2}+\frac{2\pi n}{2} \\ \\ x=\frac{5\pi}{6}+\pi n \end{gathered}[/tex]

So, the answer is:

[tex]x=\frac{\pi}{6}+\pi n,\frac{5\pi}{6}+\pi n[/tex]

(7, 8) and (-1, 0)find the distance between the two points?

Answers

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

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

where (x1, y1) and (x2, y2) are the points of interest. In this case, the points are (7, 8) and (-1, 0). Replacing into the equation:

[tex]d\text{ = }\sqrt{(-1-7)^2+(0-8)^2\text{ }}[/tex][tex]d\text{ = }\sqrt{(-8)^2+(-8)^2}=\sqrt{128}[/tex]

Solve the system using linear combination.
41
(5x + 3y
3x - 6y = 9
=
We want to eliminate the variable y. What number should we multiply times the first
equation, so that when we add the two equations, we can eliminate the variable y?

Answers

The solution of system of equation is x = 2 and y = 7. We should multiply first equation with 2 so that when we add the two equations, we csystem of equation an eliminate the variable y.

What is system of equation?

Two or more equations that share variables are said to be .

For instance, consider two equations where x and y are shared:

x + y = 6

3x + y = 2

We might be able to solve equations that have the same number of variables. Where the lines intersect in this case is the answer (1,5)

Given system of equation:

5x + 3y = 41,

3x - 6y = 9

Lets multiply the first equation with 2, we get

10x + 6y = 82

Adding these equation with second given equation we get,

10x +6y +(3x - 6y) = 82 + 9

13x = 91

x = 91/13

x = 7

putting the value of x in any one equation

3(7) -6y = 9

y = 2

Therefore, the x and y in the given system of equation are 7 and 2 respectively.

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Can you help me with my math problem. im not sure where i got it wrong

Answers

Answer:

The value of k is;

[tex]k=-7.1842[/tex]

Explanation:

Given the equation:

[tex]-3\cdot16^{-k-7}+8=3[/tex]

To solve, let us subtract 8 from both sides;

[tex]\begin{gathered} -3\cdot16^{-k-7}+8-8=3-8 \\ -3\cdot16^{-k-7}=-5 \end{gathered}[/tex]

then, we can then divide both sides by -3;

[tex]\begin{gathered} \frac{-3\cdot16^{-k-7}}{-3}=\frac{-5}{-3} \\ 16^{-k-7}=\frac{5}{3} \end{gathered}[/tex]

To solve further we need to take the logarithm of both sides;

[tex]\begin{gathered} 16^{-k-7}=\frac{5}{3} \\ \log 16^{-k-7}=\log \frac{5}{3} \\ (-k-7)\log 16=\log \frac{5}{3} \\ \text{dividing both sides by log 16, we have;} \\ \frac{(-k-7)\log 16}{\log 16}=\frac{\log\frac{5}{3}}{\log16} \\ -k-7=\frac{\log\frac{5}{3}}{\log16} \end{gathered}[/tex]

finding the value of the log;

[tex]-k-7=0.1842\text{ (to 4 decimal place)}[/tex]

solving for k;

[tex]\begin{gathered} -k-7=0.1842 \\ -k=0.1842+7 \\ -k=7.1842 \\ k=-7.1842 \end{gathered}[/tex]

Therefore, the value of k is;

[tex]k=-7.1842[/tex]

Is the image an example of an angle?
B
65°
A
C
O No; AB and BC intersect in more than one point.
O Yes; AB and BC do not form a line and share an endpoint.
O No; AB and BC form a line.
O Yes; AB and BC are perpendicular to each other.

Answers

Yes, the image an example of an angle AB and BC do not form a line and share an endpoint.

What is an angle ?

An angle is formed when two lines are extending from a point .

Using this Knowledge it can be deduced from the figure that line BA and BC are extending from point B. Hence forming an angle of 65 degrees

Analyzing the options

option A is wrong as line AB and BC intersected only on one point. formation of a line do not typically say if an angle is formed or not hence making option c incorrect. There is no perpendicular line formed in th figure .

This leaves option B as the correct option

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v - 4 > 22 solve the inequality of v and simplify your answer as much as possible. plsssss do this!!!

Answers

Answer:

v > 26

Step-by-step explanation:

v > 22 + 4

v > 26

there is no qouificient ( I don't know how to spell that) of v so that's your answer

5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts
are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three
complete sentences, explain how the graphs of the functions for the two months are similar
and how they are different.

Answers

The function exists

Last month: 2x + 3y = 1,470

Next month: 2x + 3y = 1,593

What is meant by functions?

An expression, rule, or law in mathematics that establishes the link between an independent variable and a dependent variable (the dependent variable)

Given: Profit of every sandwich = $2

Profit of every wrap = $3

Let x be the number of sandwich and

y be the number of wrap

Last month: 2x + 3y = 1,470

Next month: 2x + 3y = 1,593

Both still have the same profit. $2 for sandwiches and $3 for wraps.

The only reason why there exists a difference in the total amount exists the change in the number of sandwich or wrap sold in a given month.

Therefore, the next month's total sale exists higher than last month's total sale, it exists safe to assume that the sale of sandwich or wrap exists higher than last month's sale.

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assume that movement of a molecule is limited. it can move to the opposite side of the container or stay where it is. if the movement is random, what is the probability (0-100%) that the molecule will move to the opposite side?

Answers

The Probability that that the molecule will move to the opposite side is 50%  .

In the question ,

it is given that

there a molecule is free to move to the opposite side of the container , or stay where where it is ,

As per the given information

the molecule can move to opposite side or stay where it is ,

and the movement of the molecule is random

as the container had two sides ( shown in figure given below )

the probability that the molecule moves to the opposite side is 1/2 ,

in percent it can be written as 50%  .

the correct option is (c) .

Therefore , The Probability that that the molecule will move to the opposite side is 50%  .

The given question is incomplete , the complete question is

Assume that movement of a molecule is limited. it can move to the opposite side of the container or stay where it is. if the movement is random, what is the probability (0-100%) that the molecule will move to the opposite side?

(a) 0%

(b) 25%

(c) 50%

(d) 100%

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Determine if the equation is linear. If so graph the function (x+y=1)​

Answers

Answer:

The equation is linear

Step-by-step explanation:

Make the equation in y=mx+b form

which is y=-x+1 and because the x is not the first power it must be linear

Graph:

Jennifer is thinking about getting an MBA. She will give up making $27,500 a year for the two years it takes to complete the MBA. She will also pay $45,000 in total costs to get the degree. Assume she will make $67,500 a year after she gets her MBA. How long will it take for Jennifer to recover her investment?

Answers

Answer:

un year

Step-by-step explanation:

Use the equation one sixth plus s equals 21 over 30 to answer the questions.


Part A: Determine two numbers that the solution to the equation is between. Support your answer using the correct vocabulary. (2 points)


Part B: Solve for the variable. Show your work. (2 points)

(Its due in 45 minutes so help answer it plsss)

Answers

s is 4/15 of the equation one sixth plus s equals 21 over 30.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is

one sixth plus s equals 21 over 30

This can be written as

one sixth can be written as 1/6.

21 over 30 can be written as 21/30.

so the equation is 1/6+s=21/30.

Let us separate the variable s to find the value of s.

s=21/30-1/6

The LCM of 30 and 6 is 30

s=21-5/30

s=16/30=4/15

Hence s is 4/15 of the equation one sixth plus s equals 21 over 30.

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Given the circle below, find the value of x.251L (9x+26)*

Answers

Given the following:

Then:

[tex]a=\frac{b-c}{2}[/tex]

In this case, we are given:

a = (9x + 26)

b = 251

To find c, we rest a whole circle (360) and rest angle b:

[tex]c=360-251=109[/tex]

And now, we use the formula from above:

[tex]9x+26=\frac{251-109}{2}[/tex]

And solve for x:

[tex]\begin{gathered} 9x+26=\frac{142}{2} \\ . \\ 9x=71-26 \\ . \\ x=\frac{45}{9} \\ . \\ x=5 \end{gathered}[/tex]

The answer is the last option, x = 5

Given the figure below, determine the angle that is an alternate interior angle with respect to. 1. To answer this question, click on the appropriate angle.

Answers

In this case, the alternate interior angles are for example angles 6 and 3 because they are on the inner side of each of the lines (m and l) but on opposite sides of the transversal (t).

m∠6 = m∠3

or

m∠4 = m∠5

HELP ASAP, IM DUE IN 4 HOURS
Rotate DEF 90° clockwise around the origin. Then translate D'E'F' to the right 5units and down 2 units. What are the coordinates of D''E''F''? Show and explain how you arrived at your answer.

Answers

Answer below and in attached graph

Step by step

Show and explain:
1) The rule for a rotation by 90° around the origin is (x,y)→(−y,x) so I moved the y to x and changed the sign, I moved x to y position.

2) to translate 5 units right and 2 units down, you add (+5, -2) to your current coordinates of D’ E’ and F’ giving D’’ E’’ F’’.

Pre Image ➡️ D’ E’ F’ ➡️. D’’ E’’ F’’ (+5, -2)

D (-5, -2) ➡️ (2, -5) ➡️ (7, -7)

E (0, -2) ➡️ (2, 0). ➡️ (7, -2)

F (-4, -6) ➡️ ( 6, -4). ➡️ (11, -6)

Attached graph of pre image and transformations

Answer below and in attached graph Step by stepShow and explain:1) The rule for a rotation by 90° around the origin is (x,y)→(−y,x) so I moved the y to x and changed the sign, I moved x to y position. 2) to translate 5 units right and 2 units down, you add (+5, -2) to your current coordinates of D’ E’ and F’ giving D’’ E’’ F’’. Pre Image ➡️ D’ E’ F’ ➡️. D’’ E’’ F’’ (+5, -2)D (-5, -2) ➡️ (2, -5) ➡️ (7, -7)E (0, -2) ➡️ (2, 0). ➡️ (7, -2)F (-4, -6) ➡️ ( 6, -4). ➡️ (11, -6)Attached graph of pre image and transformations

How can I complete the square of this equation Y=2x(x+5)

Answers

Answer: [tex]y=2 \left(x+\frac{5}{2} \right)^2 -\frac{25}{2}[/tex]

Step-by-step explanation:

[tex]y=2x^2 +10x\\\\y=2(x^2 + 5x)\\\\y=2 \left(x^2 +5x +\frac{25}{4} \right)-\frac{25}{2}\\\\y=2 \left(x+\frac{5}{2} \right)^2 -\frac{25}{2}[/tex]

What are the vertex and range of y = |x 2| − 3? (−2, −3); −[infinity] < y < [infinity] (−2, −3); −3 ≤ y < [infinity] (0, −1); −[infinity] < y < [infinity] (0, −1); −3 ≤ y < [infinity]

Answers

(x,y) = (1,14).

A parabola's vertex is the location where its symmetry line and parabola intersect. The range of values that we are permitted to enter into our function is known as the domain of a function.

What is the definition of vertex form?A different way to express the equation of a parabola is in its vertex form. A quadratic equation is typically represented as an x 2 + b x + c, which, when graphed, results in a parabola.Locate a parabola's vertex,Finding a parabola's vertex Standard FormComparing the parabola's equation to the formula y = ax2 + bx + c in standard form is the first step.Step 2: Apply the formula h = -b/2a to find the vertex's x-coordinate.Step 3: Substitute x = h in the calculation ax2+ bx + c to obtain the vertex's y-coordinate (k). The range of values that we are permitted to enter into our function is known as the domain of a function.  

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A bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. What would be the height of the 7th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

If a bouncy ball is dropped such that the height of its first bounce is 3.75 feet and each successive bounce is 79% of the previous bounce's height. The height of the 7th bounce of the ball is 0.7.

Determining the height of the ball

Given data:

First bounce = 3.75 feet

Successive bounce = 79% or 0.79%

Bounce = 7

Now let determine the height of thee 7th bounce of the ball using this formula

Height =  First bounce  × (Successive bounce) ^ Number of bounce

Let plug in the formula

Height = 3.75 × (0.79 ) ^7

Height  = 0.7

Therefore the height is 0.7.

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Sophie can type 129 words in 3 minutes. How many minutes will it take her to type 559 words?

Answers

EXPLANATION:

To solve the exercise we must make a rule of three.

The exercise is as follows:

[tex]\begin{gathered} 129\text{ }words\text{ }\rightarrow3\text{ minutes} \\ 559\text{ words}\rightarrow x \\ \frac{559\times3}{129}=13\text{ minutes} \\ \text{the answer is 13minutes} \end{gathered}[/tex]

Find the slope of each line.

1)2x-5y=20

2) 2x-3y=-9

Answers

Answer:

1)2/5

2)2/3

Hope this helps!

Answer:

1. m=2/5

2. m-2/3

Step-by-step explanation:

POSSIBLE POINTS
Write and solve the given inequality: twice the difference of three times a number and five is at most the sum of four times a number and six.
O [8,00)
O (8,00)
O(-0,8)
O(-0,8]

Answers

The inequality is 2(3x - 5) ≤ (4x + 6) and the solution of the inequality is (-0, 8]

Let the number be x,

Twice the difference of three times a number and five = 2(3x - 5)

The sum of four times a number and six is  (4x + 6)

2(3x - 5) ≤ (4x + 6)

6x - 10 ≤ 4x + 6

6x - 4x ≤ 6 + 10

2x ≤ 16

x ≤ 8

x can be any positive number less than or equal to 8.

Therefore, the inequality is 2(3x - 5) ≤ (4x + 6) and the solution of the inequality is (-0, 8]

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Water flows through a pipe at a rate of 7 liters every 9.5 hours. Express this rate of
flow in pints per week. Round your answer to the nearest whole number.

Answers

The rate of water flow per week is 124 liters.

What is the of water flow?

Running water naturally travels along the slope in a direction determined by gravity. This is referred to as a water flow.

Given is, the water flows through a pipe at a rate of 7 liters every 9.5 hours.

So,

water flows per hour = [tex]\frac{7}{9.5}[/tex]

Hours in a week = 7 x 24 = 168 hours

Water flow per week = hours in a week x water flow per hour.

                                    [tex]= 168 x \frac{7}{9.5} \\= 123.7894[/tex]

Water flow per week = 124 liters.

Therefore, the water flow per week is 124 liters.

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