An electrician charges $25 per hour plus a one-time service fee of $50. Write an equation to
represent the cost, y, he charges for x hours of service. How much would he charge for 3 hours of
service.

Answers

Answer 1

The equation that represents the cost and the charges for the service is y = $25x + $50. And the he charges $125 for 3 hours of service.

Equation:

An equation state that the value of two mathematical expressions is equal.

For example,

2x + 5 = 7

is an equation.

Given,

An electrician charges $25 per hour plus a one-time service fee of $50.

Here we need to find the equation for the given situation and we have also find the charge for the 3 hour of service.

Let us consider the equation of the line y = mx + c, where m represents the constant change and c represents the fixed constant.

While we apply these equation to the given situation we can get the value of

m = $25

And the value of

c = $50.

Therefore, the equation of the situation is

y = $25x + $50.

We have already now that the y represents the cost and the x represents the hour of service.

Now we have to find the service charge for 3 hours,

So we have to apply the value of x as 3 then we get,

=> y = $25 (3) + $50

=> y = $75 + $50

=> y = $125

Therefore, the cost for 3 hours is $125.

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Related Questions

A rectangular field of corn is averaging 125 bu/acre. The field measures 1080 yd by 924 yd. How many bushels of corn will there be?

Answers

Based on the dimensions of the rectangular field, and the corn per acre, the number of bushels of corn can be found to be 25,772 bushels

How to find the number of bushels of corn?

First, find the area of the rectangular field:

= 1,080 x 924

= 997,920 yard²

Then convert this to acres with a single acre being 4,840 yards²:
= 997,920 / 4,840 square yards per acre

= 206.18 acres

The number of bushels of corn that can be grown is:

= 206.18 x 125 bushel per acre

= 25,772 bushels

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Jerome rolls two six-sided number cubes. What is the probability that he rolls doubles, given the sum of the numbers is 8?

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

hope you get it thats the last pen that works in my house

Answer:  There are five possible outcomes with a sum of 8:

2 and 6,

3 and 5,

4 and 4,

5 and 3,

6 and 2.

There is only one outcome, 4 and 4, that is doubles. Therefore, the probability is 1/5.

Step-by-step explanation: Got it right on Edmentum

Write the following equation in standard form: x + x4 + 6x +1

Answers

To answer this question, we need to know that the standard form of an equation of this type is written as follows:

[tex]ax^5+bx^4+cx^3\ldots[/tex]

We have that the polynomial given is:

[tex]\frac{8}{7}x^3+x^4+6x+1[/tex]

In the standard form, we need to write it as follows:

[tex]x^4+\frac{8}{7}x^3+0x^2+6x+1=x^4+\frac{8}{7}x^3+6x+1[/tex]

Therefore, the correct answer is option C. This is the standard form for this fourth-degree polynomial.

Lines that are perpendicular have slopes that arethe same or opposite and reciprocal.

Answers

When lines are perpendicular the slopes of both are opposite and reciprocal, that is:

[tex]m\text{ and - }\frac{1}{m}[/tex]

In words, if we have a line with slope = m, the perpendicular line to that line will have a slope = - 1/m ( opposite and reciprocal).

Find 8 3/4 ÷ 1 2/7. Write the answer in simplest form.

Answers

Problem: Find 8 3/4 ÷ 1 2/7. Write the answer in the simplest form.​

Solution:

[tex](8+\frac{3}{4}\text{ )}\div(1\text{ + }\frac{2}{3})[/tex]

this is equivalent to:

[tex](\frac{32+3}{4}\text{ )}\div(\text{ }\frac{3+2}{3})\text{ = }(\frac{35}{4}\text{ )}\div(\text{ }\frac{5}{3})\text{ }[/tex]

Now, we do cross multiplication:

[tex]=(\frac{35}{4}\text{ )}\div(\text{ }\frac{5}{3})=\frac{35\text{ x 3}}{5\text{ x 4}}\text{ =}\frac{105}{20}[/tex]

then, the correct answer would be:

[tex]=\frac{105}{20}[/tex]

Use the quadratic function fly)=-22 +53411 to answer the following questions,a) Use the vertex formula to determine the vertes.The verteris(Type an ordered pair Simplify your answer.)

Answers

The vertex of a quadratic function can be found by using the following expression:

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

Where "a" is the number multiplying x² and b is the number multiplying x. For this function a = -2 and b = 5. Applying these on the problem we have:

[tex]x=\frac{-5}{2\cdot(-2)}=\frac{-5}{-4}=\frac{5}{4}=1.25[/tex]

To find the y coordinate of the vertex we need to use the value for x that we found above. We have:

[tex]\begin{gathered} f(x)=-2x^2+5x+11 \\ f(\frac{5}{4})=-2\cdot(\frac{5}{4})^2+5\cdot(\frac{5}{4})+11 \\ f(\frac{5}{4})=-2\frac{25}{16}+\frac{25}{4}+11 \\ f(\frac{5}{4})=\frac{-50}{16}+\frac{25}{4}+11 \\ f(\frac{5}{4})=-3.125+6.25+11=14.125 \end{gathered}[/tex]

The ordered pair for this function's vertex is (1.25, 14.125)

May I please get help with this I have tried multiple times to get the correct answer but still could not get them right. I am confused on how I should draw the dilation as I have tried many times as well.

Answers

After performing dilation centered at the origin we get

(a) shortest side of original figure=2 units

   shortest side of the final figure=6units

(b) shortest side of the final figure=3×shortest side of the original figure

(c) True

(d) False

What is the dilation of the figure centered at origin?

A transformation called a dilatation alters a figure's size without altering its shape. A figure might become larger or smaller due to dilation. For instance.

The image is smaller than the preimage when the scaling factor is between 0 and 1. Reductions are referred to as dilations with scale factors between 0 and 1.

The image is larger than the preimage if the scaling factor is greater than 1. Enlargements are defined as a dilation with a scale factor greater than 1.

To get the size of the edge we multiply the size of original lenght by scale factor.

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Solve each system of the equation by elimination. y=-4x+14y=10x-28

Answers

Explanation:

The elimination method consists in substracting one equation from the other, so you eliminate one of the variables and you have only one equation to solve for one variable.

In this case, y has the same coefficient in both equations, so this is the variable we will eliminate.

Substract the first equation from the second:

[tex]\begin{gathered} y=10x-28 \\ - \\ y=-4x+14 \\ \text{ ---------------------} \\ y-y=10x+4x-28-14 \\ 0=14x-42 \end{gathered}[/tex]

And solve for x:

[tex]\begin{gathered} 14x=42 \\ x=\frac{42}{14} \\ x=3 \end{gathered}[/tex]

Now, we replace x = 3 into one of the equations and solve for y:

[tex]y=-4\cdot3+14=-12+14=2[/tex]

Answer:

• x = 3

,

• y = 2

Use a trig equation to solve for x. Round to the nearest tenth.

Answers

Given a right angle triangle

We need to find the measure of the angle x

The opposite side to the angle x = 19

the adjacent side to the angle x = 15

We will find x using the tan function as follows:

[tex]\begin{gathered} \tan x=\frac{opposite}{adjacent} \\ \\ \tan x=\frac{19}{15} \\ \\ x=\tan ^{-1}\frac{19}{15}\approx51.7098^{} \end{gathered}[/tex]

Round the answer to the nearest tenth

so, the answer will be x = 51.7

Khloe is going to invest $7,100 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Khloe to end up with $12,600?

Answers

Solution

For this case we can use the following formula:

[tex]A=Pe^{rt}^{}[/tex]

and for this case we have the following:

P= 12600

A= 7100

t = 9 years

And r is the value that we need to find, so we can do the following:

[tex]12600=7100e^{9r}[/tex]

We can do the following:

[tex]\ln (\frac{12600}{7100})=9r[/tex]

And we got for r:

[tex]r=\frac{\ln (\frac{12600}{7100})}{9}=0.0637[/tex]

And then the rate would be:

6.37%

I attached the questions as images. The first image is actually the second.You can send in the work on paper like the graphing part.The questions can be typed on the solution tab or messages whichever is easier for you.Thanks again for the help :)

Answers

SOLUTION

Consider the image below,

The lenght of the compass is the radius, using a lenght of 5 unit, we have circle below as the sphere .

Where

[tex]\begin{gathered} r=\text{ radius, O= origin } \\ And \\ r=5\text{unit } \end{gathered}[/tex]

Using the formula, we have

[tex]\begin{gathered} \text{Volume of sphere} \\ =\frac{4}{3}\pi r^3 \\ \text{where} \\ \pi=3.14,\text{ r=}5 \end{gathered}[/tex]

Substitute into the formula, we have

[tex]\begin{gathered} \text{Volume of the sphere is } \\ =\frac{4}{3}\times3.14\times5^3 \\ \text{Hence } \\ 523.33\text{ cubic unit} \end{gathered}[/tex]

Therefore

The volume of the sphere is 523.33 cubic unit

I can’t see the pictures they won’t load so I’ll try to turn off my phone and turn it back on and I’ll answer the question

Find the x- and y-intercepts for the following equation. Then use the intercepts to graph the equation.
4x + 2y = 8

Answers

Answer:

Step-by-step explanation:

x int=2

y int=4

graph 2,0 and 0,4 as two points

Find f(x) • g(x) if f(x) = x2 – 7 and g(x) = x2 + 3x + 7

Answers

Given the functions:

[tex]\begin{gathered} f(x)=x^2-7 \\ g(x)=x^2+3x+7 \end{gathered}[/tex]

We will find: f(x) • g(x)

So, we will find the product of the functions

We will use the distributive property to get the result of the multiplications

So,

[tex]\begin{gathered} f\mleft(x\mright)•g\mleft(x\mright)=(x^2-7)\cdot(x^2+3x+7) \\ f\mleft(x\mright)•g\mleft(x\mright)=x^2\cdot(x^2+3x+7)-7\cdot(x^2+3x+7) \\ f\mleft(x\mright)•g\mleft(x\mright)=x^4+3x^3+7x^2-7x^2-21x-49 \\ f\mleft(x\mright)•g\mleft(x\mright)=x^4+3x^3-21x-49 \end{gathered}[/tex]

so, the answer will be:

[tex]f\mleft(x\mright)•g\mleft(x\mright)=x^4+3x^3-21x-49[/tex]

A cashier has 24 bills, all of which are $10 or $20 bills. The total value of the money is $410. How many of each type of bill does the cashier have?

Answers

The cashier has 7 bills of $10 and 17 bills of $20 (found using linear equation).

According to the question,

We have the following information:

A cashier has 24 bills, all of which are $10 or $20 bills. The total value of the money is $410.

Now, let's take the number of $10 bills to be x and the number of $20 bills to be y.

So, we have the following expression:

x+y = 24

x = 24-y .... (1)

10x+20y = 410

Taking 10 as a common factor from the terms on the left hand side:

10(x+2y) = 410

x+2y = 410/10

x+2y = 41

Now, putting the value of x from equation 1:

24-y+2y = 41

24+y = 41

y = 41-24

y = 17

Now, putting this value of y in equation 1:

x = 24-y

x = 24-17

x = 7

Hence, the cashier has 7 bills of $10 and 17 bills of $20 when the total value of the money is $410.

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When we use function notation, f(x)=# is asking you to find the input when the output is the given number. We can also consider that an ordered pair can be written as (x,#). With this is mind, explain why f(x)=0 is special.

Answers

Notice that f(x)=0 is special because is the intercept of the graph with the x-axis and if f(x) corresponds to a function, the x-intercepts are the roots of the function.

The ordered pair can be written as (x,0), where x is such that f(x)=0.

Evaluate the expression when a=3 and b=6. b2-4a

Answers

b² - 4a

evaluated when a = 3 and b = 6 is:

6² - 4(3) =

= 36 - 12=

= 24

Solve by factoring. Be sure to look for a GCF first in case there is one-2x²-4x+70=0

Answers

ANSWER

x = 5 and x = -7

EXPLANATION

We want to solve the equation by factoring.

The equation is:

[tex]-2x^2\text{ - 4x + 70 = 0}[/tex]

First, there is a greatest common factor that we can use to simplify the equation. That is -2, so, first we divide through by -2.

It becomes:

[tex]x^2\text{ + 2x - 35 = 0}[/tex]

Now, factorise:

[tex]\begin{gathered} x^2\text{ + 2x - 35 = 0} \\ x^2\text{ + 7x - 5x - 35 = 0} \\ x(x\text{ + 7) - 5(x + 7) = 0} \\ (x\text{ - 5)(x + 7) = 0} \\ x\text{ = 5 and x = -7} \end{gathered}[/tex]

The director of a film festival received 9 submissions, 7 of which were sci-fi films. If the director randomly chose to play 6 of the submissions on the first day of the festival, what is the probability that all of them are sci-fi films? Write your answer as a decimal rounded to four decimal places .

Answers

Given data:

9 submissions out of which 7 were sci-fi

If the director randomly chose to play 6 of the submissions on the first day of the festival

Then, the probability that all of them are sci-fi films will be obtained as follows

At the first selection, it will be: 7/9

At the second selection, it will be: 6/8

At the third selection, it will be: 5/7

At the fourth selection, it will be: 4/6

At the fifth selection, it will be: 3/5

At the sixth selection, it will be: 2/4

Thus, the probability will be

[tex]\frac{7}{9}\times\frac{6}{8}\times\frac{5}{7}\times\frac{4}{6}\times\frac{3}{5}\times\frac{2}{4}=\frac{5040}{60480}[/tex]

=>

[tex]\frac{5040}{60480}=\frac{1}{12}[/tex]

=>

[tex]\frac{1}{12}=0.0833[/tex]

Answer = 0.0833

what is the image of -3 -7 after a reflection over the x-axis

Answers

Given the point (-3, -7)

We need to find the image after a reflection over the x-axis

The rule of reflection over the x-axis is:

[tex](x,y)\rightarrow(x,-y)[/tex]

So, the image of the given point will be:

[tex](-3,-7)\rightarrow(-3,7)[/tex]

so, the answer is option D. (-3, 7)

Find the volume of a pyramid with a square base, where the side length of the base is19.3 ft and the height of the pyramid is 16.2 ft. Round your answer to the nearesttenth of a cubic foot.

Answers

Find the volume of a pyramid with a square base, where the side length of the base is

19.3 ft and the height of the pyramid is 16.2 ft. Round your answer to the nearest

tenth of a cubic foo

Remember that

the volume of the pyramid is equal to

[tex]V=\frac{1}{3}\cdot B\cdot h[/tex]

where

B is the area of the base

h is the height

step 1

Find out the area of the base

B=19.3^2

B=372.49 ft2

h=16.2 ft

substitute the given values in the formula

[tex]V=\frac{1}{3}\cdot372.49\cdot16.2[/tex]V=2,011.4 ft3

4(x - 3) - (x - 5) = 0

Answers

4(x - 3) - (x - 5) = 0​

Solving for x:

4(x - 3) - (x - 5) = 0​

4x - 12 - x + 5 = 0

4x - x = 12 - 5

3x = 7

x = 7/3

Answer:

x = 7/3 = 2.33

5 ptsIn Ms. Johnson's class a student will get 3 points forhaving their name on their paper and 4 points for eachquestion that is correct. In Mr. Gallegos class, a studentwill get 7 points for having their name on their paper and2 points for each question correct. Which inequalitycould be used to determine x, the number of questionsthat would give you a higher grade in Ms. Johnson'sclass?

Answers

In Ms. Johnson's class a student will get 3 points for

having their name on their paper and 4 points for each

question that is correct. In Mr. Gallegos class, a student

will get 7 points for having their name on their paper and

2 points for each question correct. Which inequality

could be used to determine x, the number of questions

that would give you a higher grade in Ms. Johnson's

class?

we have

Ms. Johnson's class

3+4x

Mr. Gallegos class

7+2x

so

the inequality is given by

3+4x > 7+2x

solve for x

4x-2x > 7-3

2x>4

x> 2

the number of question must be greater than 2

The top-selling Red and Voss tire is rated 60000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 72000 miles and a standard deviation of 7000 miles.A. What is the probability that the tire wears out before 60000 miles?Probability = What is the probability that a tire lasts more than 80000 miles? Probability=

Answers

a. 0.0436

b. 0.1271

We are given the following:

Distance (x) = 60,000

Mean (u) = 72,000

Standard Deviation(s) = 7,000

We are also told that it is a normal disribution relationship. The formula for ND is as follows:

z = (x - u) / s

Now we can continue with part a and b as follows:

a) P (x < 60,000)

= P (z < (60000 - 72000) / 7000)

= P (z < -1.714)

We can find the corresponding z score by looking at a z score table, and we find th probability to be 0.0436

b) P ( x > 80,000)

= P(z > (80000 - 72000) / 7000)

= P( z > 1.143)

We find the corresponding z score to be 0.8729, now we can substract this from 1 sinsce our probability is larger than the given distance (meaning we are trying to find the area to the right of the z score) to find our final answer:

1 - 0.8729 = 0.1271

How do I find x I know you separate the shapes but I got it wrong…

Answers

Let's find this length first

6√2 is the hypotenuse, then

[tex]\begin{gathered} (6\sqrt{2})^2=6^2+y^2 \\ \\ y^2=(6\sqrt{2})^2-6^2 \\ \\ y^2=36\cdot2-36 \\ \\ y^2=36 \\ \\ y=\sqrt{36}=6 \end{gathered}[/tex]

Then we can find x because

[tex]\begin{gathered} x^2=y^2+12^2 \\ \\ x^2=6^2+12^2 \\ \\ x^2=36+144 \\ \\ x^2=180 \\ \\ x=\sqrt{180} \\ \\ x=6\sqrt{5} \end{gathered}[/tex]

The length of x is

[tex]x=6\sqrt{5}[/tex]

2.) On the first night of a concert, Fish Ticket Outlet collected $67,200 on the sale of 1600 lawn
seats and 2400 reserved seats. On the second night, the outlet collected $73,200 by selling
2000 lawn seats and 2400 reserved seats. Solve the system of equations to determine the cost
of each type of seat.

Answers

Answer:

L=$15

R=$18

Step-by-step explanation:

i cant really explain the work

Write an equation of the line passing through the point (8,-3) that is parallel to the line y= -x -1. An equation of the line is

Answers

The equation of the line, in slope-intercept form, that is parallel to the line y = -x - 1 is: y = -x + 5.

How to Write the Equation of Parallel Lines?

Parallel lines have equal slope value, "m". In slope-intercept form, the equation y = mx + b represents a line, where the slope is "m" and the y-intercept is "b".

The slope of y= -x -1 is -1. This means the line that is parallel to y= -x -1 will also have a slope that is equal to -1.

Substitute m = -1 and (x, y) = (8, -3) into y = mx + b to find the value of b:

-3 = -1(8) + b

-3 = -8 + b

-3 + 8 = b

5 = b

b = 5

Substitute b = 5 and m = -1 into y = mx + b to wrote the equation of the line that is parallel y = -x -1:

y = -x + 5

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Find the reference angle for the given angles 745 degree.

Answers

Maisa,. let's recall the formula for calculating the reference angle when the angle is > 360 degrees:

Reference angle = Given angle - 360

Reference angle = 745 - 360

Reference angle = 385

It's still higher value than 360, therefore we subtract 360 again.

Reference angle = 385 - 360

Reference angle = 25 degrees

Use the drawing tools to the graph the solution to this system of inequalities on the coordinate plane.
y> 2x + 4
x+y≤6

Answers

The solution to the system of inequalities y> 2x + 4 , x+y≤6 on the coordinate plane is shown below .

in the question ,

the system of inequality is given

y> 2x + 4

x+y≤6

to plot these inequalities on the coordinate plane ,we need to find the intercepts of both.

y>2x+4

put x = 0 we get y as 4   , (0,4)

put y = 0 we get x as -2   ,(-2,0)

x+y≤6

put x = 0  , we get y as 6    , (0,6)

put y = 0 , we get x as 6 ,    (6,0)

the solution of both the inequality is shown below .

Therefore , the solution to the system of inequalities y> 2x + 4 , x+y≤6 on the coordinate plane is shown below .

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The ordered pairs represent a function. (0,-1), (1,0), (2,3), (3,8) and (4,15). Answer the questions in the picture.

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

ordered pairs:

(0,-1), (1,0), (2,3), (3,8) and (4,15)

Step 02:

functions:

graph:

The function is nonlinear

x ==> increases by 1

y ==> increases by 2

y = x² - 1E-14x - 1

That is the full solution.

•is this function linear? •what’s the pattern in the table•what would be a equation that represents the function

Answers

Given data:

The given table.

The given function can be express as,

[tex]\begin{gathered} y-0=\frac{2-0}{1-0}(x-0) \\ y=2x \end{gathered}[/tex]

As the equation of the above function is in the form of y=2x, it is linear function because for single value of x we got single value of y.

Thus, the function can be express as y=2x form which is linear function.

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