A plumber charges a one-time service fee of $20 in addition to his hourly rate of $25 per hour. If the plumber went to your house to work on your bathtub and toilet and the bill came to $282.50, how many hours did it take him to complete the job?

A- 25 + 20x = 282.50; x = 10.5 hours

B- 20 + 25x = 282.50; x = 10.5 hours

C- 20 + 25x = 282.50; x = 12.1 hours

D- 45x = 282.50; x = 6.3 hours

Answers

Answer 1

Answer: B

Step-by-step explanation:

Answer 2

The number of hours it took him to complete the job is; Choice B: 20 + 25x = 282.50; x = 10.5 hours

According to the question;

The one-time service fee of the plumber is; $20

The plumber's hourly rate is; $25 per hour.

The total bill after working on toilet and bathroom came to; $282.50

The expression which represents the plumber's charge is therefore;

20 + 25x = 282.50

where, x = number of hours to complete the job.

Therefore, to find x;

25x = 282.50 - 20

25x = 262.50

x = 262.50/25

x = 10.5 hours.

The total number of hours it took him to complete the job is; 10.5 hours.

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The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today.

Is the equation in slope intercept form? Explain

If you graphed this situation what would the slope represent? Explain

If you graphed this situation what would the y intercept be and what would it represent?

What units make sense for the slope?

Answers

The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks

This equation can be re-write as y=37.52x+125

Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.

Now, check the units,

In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.

As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.

As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.

As given that the unit of x is week, so the unit of m is dollar/week.

Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.

The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.

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Answers

2 hours he is reading 1/8 of the book in 1/4 of an hour 1/4x8=2

Step-by-step explanation:

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Answer:

802+122−102

Step-by-step explanation:

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Answer:

y= 1/2x+2

Step-by-step explanation:

I hope it's right!

Answer:

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Write a conjecture that describes this pattern.

Answers

If it’s blue:red, it’s 8:4 which can simplify to 2:1.
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Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis

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Answer:

y = -4.5x - 22

Step-by-step explanation:

The standard form of finding the equation of a line is expressed as y = mx+c

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Get the slope:

m = y2-y1/x2-x1

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m = -4-5/-4+6

m = -9/2

m = -4.5

Get the y-intercept

Substitute (-4,-4) and m = -4.5 into y = mx+c

-4 = -4.5(-4) + c

-4 = 18 + c

c = -4-18

c = -22

Get the required equation:

Recall that: y = mx+c

y = -4.5x - 22

Hence the required equation is y = -4.5x - 22

Answer:

y=1/2x-2

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Find the greatest common factor of 27 and 33.

Answers

Answer:

3

Step-by-step explanation:

26 and 33 both divisible by 3

The greatest common factor of 27 and 33 is 3.

What is Number system?

A number system is defined as a system of writing to express numbers.

We need to find the greatest common factor of 27 and 33.

GCF of twenty seven and seventy three.

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

The factors of 27 are 1, 3, 9 and 27.

One , three , nine and twenty seven because 27 is divisible by the numbers.

The factors of 33 are  1, 3, 11 and 33.

One, three, eleven and thirty three because 33 is divisible by these numbers.

The highest common factor 27 and 33 is 3

Hence, the greatest common factor of 27 and 33 is 3.

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If the mass of an object on Earth is 18kg what would the mass of the same object be on the Moon?
A. 18kg
B. 6kg
C. 108kg
D. 3kg

Answers

Answer: 18kg

Step-by-step explanation:

Mass is the amount of matter that a particular object has. First and foremost, we should note that a mass is not thesame as weight and that a mass is thesame everywhere.

In this scenario, since the mass of the object on Earth is 18kg, the mass of the same object on the Moon will slow be 18kg. The mass will not change.

Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

Fluffy ate 1/2 carrot in the morning

She ate some more at night

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Answer:

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Step-by-step explanation:

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Pentagon GPEST is shown on the coordinate grid. Pentagon Pentagon GPEST is dilated with the origin as the center of dilation using the rule (x,y)→(0.2x,0.2y) to create pentagon G'P'E'S'T'.

Which statement is true?


Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is larger than pentagon pentagon GPEST because the scale factor is less than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is greater than 1.

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.
Coordinate plane with 4 quadrants. x-axis runs from negative 6 to 4 and y-axis runs from negative 5 to 5 and arrows on both ends. Pentagon with vertices at G at negative 3 comma 4. P at 2 comma 4. E at 4 comma 2. S at 2 comma negative 3. T at negative 3 comma negative 3.. Vertices labeled with letters.

Answers

Answer:

Pentagon G'P'E'S'T' is smaller than pentagon pentagon GPEST because the scale factor is less than 1.

Step-by-step explanation:

Sorry im late homie

  Option (4). Pentagon G'P'E'S'T' will be smaller than pentagon GPEST because the scale factor is less than 1.

Transformation of a figure by dilation:  If a figure with the given vertex (x, y) is dilated with a scale factor    

          'k', image point will follow the rule,

          (x, y) → (kx, ky)

  If k > 1, image will be larger than preimage.

           If k < 1, image will be smaller than preimage.

Rule for the dilation given in the question,

(x, y) → (0.2x, 0.2y)

Here, k = 0.2 which is less than 1.

     Therefore, pentagon G'P'E'S'T' will be smaller than pentagon GPEST.

                        Option (4) will be the correct option.

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Answers

Answer:

                              126

                    P = -------------

                              2 - r

Step-by-step explanation:

Solve for P:  P(2-r)-17=109

Combining the constant terms:

                     P(2 - r) = 126

Dividing both sides by (2 - r) isolates P:

                              126

                    P = -------------

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It should be 620
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