An electrician charges $53 per hour and his apprentice charges $22 per hour. On a job wiring a house the electrician worked four hours more than the apprentice. Together they earned a total of $624.50 for the job. How much did the election earn for the rewiring?

Answers

Answer 1

Answer:

$503.5

Step-by-step explanation:

let the apprentice duration of work be x hours

so that the electrician worked (x+4)hours

53*(x+4)+22*x=624.50

opening the bracket we have

53x+212+22x=624.50

collect like terms we have

53x+22x+212=624.50

75x+212=624.50

75x=624.50-212

75x=412.5

divide both sides by 75 we have

x=412.5/75

x=5.5

The electrician worked a total of (x+4)

5.5+4=9.5 hours or 9hours 30min

given that the electrician earns $53 per hour

then,for the work he would make 53*9.5=$503.5


Related Questions

what is the slope of this line?

A. 2/3

B. 1/3

C. -1/3

D. -2/3

Answers

Answer: 2/3

Step-by-step explanation:

Slope = rise/run

Up 2 and to the right 3

n − 9/4= 2n − 7/9 please add work

Answers

Answer:

- 1 17/36

Step-by-step explanation:

Step 1:

n - 9/4 = 2n - 7/9       Equation

Step 2:

- 9/4 = n - 7/9     Subtract n on both sides

Step 3:

- 81/36 = n - 28/36     Find common denominator

Step 4:

- 53/36 = n       Add 28/36 on both sides

Answer:

n = - 1 17/36     Convert

Hope This Helps :)

Answer:

n= -53/36

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

n+ −9/4 = 2n+ −7/9

Step 2: Subtract 2n from both sides.

n+ -9/4 −2n=2n+ −7/9−2n−n+ −9/4 = −7/9

Step 3: Add 9/4 to both sides.

−n+ −9/4+9/4=−7/9+9/4   −n=53/36

Step 4: Divide both sides by -1.

−n/-1=53/36/−1n=−53/36

If a = 9 mm and b = 12 mm what is side c of a right triangle using the
pythagorean theorem?

Answers

Answer:

15

Step-by-step explanation:

9^2+12^2=225

square root of 225 is 15



Savannah paid $100 to join a music club. She then pays $1.00 per music download. Dominic joined a club for $25 but pays $2.50 per download. Determine the
number of downloads when the cost will be the same

Answers

Answer:

It would take 10 downloads

Step-by-step explanation:

Answer:

32 for Dominic and 5 for Savannah

Step-by-step explanation:

You can figure this out by first determining how many downloads Dominic has to make in order to have the total price equal to what Savannah paid just to join the club.

So Savannah paid $100 to join.  Dominic only paid $25.  So Dominic can spend $75 for downloads before he even gets up to what Savannah paid.  Now you can figure out that it will take 30 downloads at $2.50 each to get to that $75.  

You could say that Dominic is now equal to Savannah with both spending $100.  Dominic would have made 30 downloads and Savannah would have 0.  But I believe they want you to go a step further.

So now you just need to look at how many more downloads Dominic would have to make to get to an even full dollar amount.  One more download would take him up to $102.50.  A second additional download would take him to $105.  Savannah would then only have 5 downloads for a total cost of $105 and Dominic would now have a total of 32 downloads for a total of $105.

rational algebraic expression is an expression that is the ratio of two​

Answers

Answer:

A rational expression is a ratio of two polynomials. The domain of a rational expression is all real numbers except those that make the denominator equal to zero.

Step-by-step explanation:

The line with the equation y=4x+5 undergoes a dilation with a scale factor of 2 and the center at (0,2). Determine the equation of the line that is a result of the dilation

Answers

Answer:

2=4x+5 I am not 100% sure about this though.

Write a program that will solve a quadratic equation: ax2 + bx + c = 0. The program must ask the user to enter the values for a, b and c. It should then determine the discriminant of the parabola and based on the discriminant it should display the real roots: Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots. Use the if - then else structure in your program to decide the outcome of the program. User must then use the quadratic equation to solve for x: = − ± √ −

Answers

Answer:

x= -b ±√b²- 4ac/2a

Step-by-step explanation:

ax2 + bx + c = 0

Dividing the quadratic equation by a gives

x2 + b/ax + c/a = 0

x2 + b/ax = - c/a

Applying the square formula

(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a

(x+b/2a)^2= b²/4a² - c/a

(x+b/2a)^2= b²/4a² - 4ac/4a²

(x+b/2a)^2= b²- 4ac/4a²

Taking square root of both sides gives

(x+b/2a)= ±√b²- 4ac/2a

x= -b/2a±√b²- 4ac/2a

x= -b ±√b²- 4ac/2a

This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.

From this it is concluded that

Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.

This is because a square root of a value greater than 0 is possible and gives two values for roots of x.

The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.

The square root of a value greater equal to 0 gives a zero leaving behind only one real root.

Which table represents a function

Answers

Answer:

The top right

Step-by-step explanation:

In the top right table, every x value has only one y value.

A person invested $8,800 in an account growing at a rate allowing the money to
double every 15 years. How much money would be in the account after 4 years, to the
nearest dollar?

Answers

Answer:10587

Step-by-step explanation: better than original answer

Amber is traveling to he mom's house. The scale on the map is 2 inches=10 miles. She knows her mom lives 40 miles away. How far would that be on the map?

Answers

8 inches on the map. To approach this problem, just set up a proportion:

2in =10 mi x in =40 mi.

If we use that to set up an equation we get

80 =10x.

Solve that, you get 8.

Hope this helps, let me know if you need more help.

If 7/9x - 4/9x = 1/4 +5/12
what is the value of x?

Answers

Answer:

x=2

Step-by-step explanation:

subtract 7/9x -4/9x

3/9x= 1/4 +5/12

first change 1/4 to 3/12

then add 3/12 + 5/12

3/9x = 8/12

change 3/9x to 1/3x then to 4/12x

4/12x = 8/12

then mulitiply by the reciprical 12/4 on both sides

x = 2

2.39 x 4.37 =


Please solve for me

Answers

Answer:

10.4443

I hope this helps :D have a good day!

6(p+6)- (p-6) I need help anyone pls

Answers

Answer:

5p + 42

Step-by-step explanation:

Step 1: Write expression

6(p + 6) - (p - 6)

Step 2: Distribute

6p + 36 - p + 6

Step 3: Combine like terms

5p + 42

Answer. 5p+ 30
Explanation. 6(p+6) - (p-6)
We must expand.
6 times p is 6p+ 6 times 6 which is 36.
You now have:
6p+ 36 - p- 6
Combine like terms: 6p- p + 36- 6 Your final answer is:
5p+ 30
Hope this helped let me know if it is correct so others can use it.
Good luck :)

PLEASE HELP ME ITS URGNT The sum of two consecutive integers is 173. What number is the greatest of the two consecutive integers?

Answers

Answer:

Let x=the smaller integer.

Let x+1+ the larger integer.

x+(x+1)=173

(x+x)+1=173

2x+1=173

2x+1-1=173-1 (substract 1 from both sides)

2x=172 (divide 2 to both sides)

2x/2=172/2

x=86

x+1=87

Step-by-step explanation:

NEED HELP ASAP PLEASE

Answers

It’s the second answer
<1=58 <2=122 <3=58

Question 3 options:
Point Y lies in between points X and Z on a given line.

The length of XZ = 30, and the length of YZ = 10.

Find the length of XY.

k12

Answers

Answer: XY= 20

Step-by-step explanation:

i took the test and got it correct

30 - 10 = 20

10. (02.03)
Below are the steps to solve an equations
Step 1: IX - 4l+ 1 = 8
Step 2: IX - 4l = 8 - 1
Step 3: IX - 4l = 7
Which of the following is a correct next step to solve the equation? (1 point)
X-4 = -7
x+4=-7
x + 4 = 7
-x-4= 7

Answers

Answer:

x-4 = 7 , x-4 = -7

Step-by-step explanation:

IX - 4l+ 1 = 8

Subtract 1 from each side

IX - 4l = 8-1

IX - 4l = 7

Then separate into two equations, one positive and one negative

x-4 = 7      x-4 = -7

an average student spend 4½ minutes to read one page of a book. how much time will he need to read 5½ pages?​

Answers

Answer:

About 24.75 minutes or 24 3/4 minutes

Step-by-step explanation:

List in increasing order


182.205 182.05 182.105 182.025

Answers

I think is 182.205,182.105,182.0.25,182.05

If a tennis court is 24 meters long, what is the approximate length in yards?

Answers

Approximately 26.2 yards
Because 1 meter = 1.094 yards

Hope this helped :)

y=2x+5
y=2x+2
is it parallel

Answers

Answer:

Yes they are parallel

Step-by-step explanation:

They have the same slope.

The length of a rectangular window is 4 more feet than its width w. The perimeter of the window is 64 feet. Write an equation that could be used to find the demensions of the window and determine the length and width of the window.

Answers

Answer:

The length of the window is 18 ft and its height is 14 ft

Step-by-step explanation:

System of Equations

Let's call:

L: Length of the window in feet

W: Width of the window in feet

According to the first condition of the problem:

[tex]L = W + 4\qquad\qquad [1][/tex]

The perimeter of the rectangle is 64 feet. The perimeter is calculated as:

P = 2L + 2W =64

Dividing by 2:

[tex]L + W = 32\qquad\qquad [2][/tex]

The system of equations [1] and [2] can be used to find the dimension of the window.

Substituting from [1]

W + 4 + W = 32

Simplifying:

2W = 32 - 4 =28

Solving:

W = 28/2 = 14

Using [1]:

L = 14 + 4 = 18

The length of the window is 18 ft and its height is 14 ft

I NEED HELP PLZ ASAP!!!​

Answers

Answer:

C is the answer

Step-by-step explanation:

Its hard to explain, but i'm 100% sure.

Answer:

All of them

Step-by-step explanation:

if you look closely at the shame and decipher each option they all come into form for that shape.

Hope Hopes^^

Barry

2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.
Which transformation maps the large triangle onto the small triangle?

dilation
reflection
rotation
translation

Answers

Answer:

dilation is the answer

what is 5/8x + 1/5x = 99

Answers

x = 120

Too long to exaplin.

Just trust me

Hope this helps I attached a photo with answer and steps

Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.

-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x

Answers

Answer:

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

. The mass of Earth is approximately 5.9 · 1024 kg, and the mass of Venus is approximately 4.9 · 1024 kg.Given that the mass of the sun is approximately 1.9 · 1030 kg, how many Venuses and Earths would it take to equal the mass of the sun?

Answers

I really hope this helps ☺️

what transformation is represented by the rule (x, y) (-x, -y)

Answers

The transformation which is represented is a 180 degree rotation about the origin

atus
kam
Suppose that y varies directly with x
and y = 5 when x = 6. What is y
when x= 5?
Be sure to simplify your answer.
у

Answers

Answer:

i  need free points, thank you

Step-by-step explanation:

Step-by-step explanation:

y varies x

y=kx

when y=5;x=6

5=6k

5/6=k

Now, when y=?;x=5

y=5\6(5)

y=25\6

y=4.17

Please helppppppp i need it so I don’t get detention tomorrow .

Answers

Answer:

a) = 27

b) = 5

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