You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $810 working at two separate work sites. Let the number of hours you work be y.

Answers

Answer 1

Answer:

Equation: 810= (90 + 24y)

y = 30 hours

Step-by-step explanation:

Given:

Site visit = $45 per site

cost per hour worked = $24

for each work site, the total amount of money earned

= site visit fee + cost for working

But the question mentions TWO sites, hence there will be two site visits. Therefore for TWO sites, we have to account for TWO site visit fee.

Therefore for TWO sites, the total amount of money earned

= site 1 visit fee + site 2 visit fee + cost for working

= (2 x site visit fee) +  cost for working  ------ Equation 1

We are further given that we worked y hours at the hourly work rate of $24 per hour.

Hence the cost for working

= y hours x hourly rate

= y   x   $24

= $24y   (substituting this into equation 1 above)

for TWO sites, the total amount of money earned

= (2 x site visit fee) +  cost for working

= (2 x $45) +  $24y

= $90 + $24y

= $(90 + 24y)

We are also given that we have to earn $810 for two sites, hence

810 = 90 + 24y    

810 - 90 = 24y

24y = 720

y = 720/24

y = 30 hours


Related Questions

What’s the slope intercept form of the equation
Y=Mx+b

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Answer:

Step-by-step explanation:

-7y = -6x - 7

y = 6/7x + 1

Carla withdrew $320 every month for four years to help pay for college how much total money did she withdraw

Answers

Answer:

1280

Step-by-step explanation:

32x4=128

320x4=1280

Select the correct answer,
A soccer team wins 65% of its matches, and 15% of its matches end in a draw. If the team is scheduled to play 20 matches, about how many
matches is it expected to lose?
A. 13
B. 4
с. В
D. 1

Answers

Answer:

0.65 x 20 = 13  0.15  x 20 = 3 so 13 + 3 =16  20 - 16 = 4

Step-by-step explanation:

The answer is B 4 loses

half of your baseball cards collection got wet and was ruined. you bought 19 cards to replace some that were lost. how many did you begin with if you now have 45.

Answers

52 baseball cards.
45-19=26
26*2=52

Answer:

38 cards

Step-by-step explanation:

Assuming that you replaced all your baseball cards that were ruined, that would mean that you started with 38, because we know that 19 is half of all the baseball cards that were lost so 19*2=38


3(20 + 4) =
Help me pleases

Answers

Answer:

72 is your answer mate...

Find the slope of the line passing through the points (2,8) and (2,-7)

Answers

Answer:

undefined

Step-by-step explanation:

The line is a vertical line (since both points have the same x-coordinate of x=2) and hence it has an undefined slope.

How do you write 8409.08 in words?

Answers

Answer:

eight thousand four hundred nine and eight hundredths

Step-by-step explanation:

Answer:

The answer is, Eight-thousand four-hundred nine and eight thousandth

Step-by-step explanation: All you have to do is say it enough. Please have a nice day.

What is the value of z in the solution of the following system of equations?
3x+ 5y +7z= 3
2x+4y+6= 6
4x+3y + 5z = -6
A. 6
B. 4
C. -2
D. -6​

Answers

Answer:

D) -6

Step-by-step explanation:

A giraffe can run 32 miles per hour. What is this speed in feet per second?​

Answers

Answer:

46.9333 feet per second

Step-by-step explanation:

A triangle has side length of

Answers

3.8q + 21.2 + 8.3r

The perimeter is all sides added together, therefore our equation looks like this:

[tex](1.7q + 9.3) + (2.1q + 6.7) + (8.3r + 5.2)[/tex]

However, we can get rid of the parentheses and add like terms together.

[tex]1.7q + 9.3+ 2.1q + 6.7+ 8.3r + 5.2[/tex]

[tex]1.7q + 2.1q + 9.3 + 6.7+ 5.2 + 8.3r [/tex]

[tex] 3.8q + 21.2 + 8.3r [/tex]

AB lies on a number line. The coordinate of point A is -6. Given that AB=20, what are two possible coordinates for point B?

Answers

Answer:

-26 or 14

Step-by-step explanation:

Given that

Coordinate of point A is -6.

Length of AB = 20

To find:

Coordinates for the point B = ?

Solution:

We are given that:

AB = 20

In other words, we can use modulus function to define the distance between A and B:

|Coordinates of B - Coordinates of A| = 20

Let the coordinates of B = [tex]x[/tex]

Kindly refer to the attached image for the given situation.

Point B might be either on the left or on the right side of A.

That means:

[tex]|x-(-6)| = 20\\\Rightarrow |x+6|=20[/tex]

Now, let us have a look at the modulus function:

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

So,

[tex]|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)<0 \atop {(x+6)}\ if\ (x+6)>0} \right.[/tex]

[tex](x+6 ) =20\\\Rightarrow x =14[/tex]

[tex]-(x+6 ) =20\\\Rightarrow x =-26[/tex]

Therefore, the answer is:

-26 or 14

if you kick a soccer ball on the ground,it eventually comes to a stop because of the friction with the grass.Which newton's law of motion is this an example of​

Answers

Answer:

Newton's first law

Step-by-step explanation:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Match the equation with its slope and y intercept.​

Answers

Answer:

1.c

2.e

3.d

3.a

5.b

best of luck!

Answer: Answer is in the steps read carefully

Step-by-step explanation:

1.   y = -3x  It has a slope of -3 and y intercept of 0 so it goes with  C

2.  y =2x+ 5   It has a slope of 2 and y intercept of 5 so it goes with  E

3.  y = 1/2x - 3   It has a slope of 1/2 and y intercept of -3 so it goes with  D

4. y= -1x + 2    It has a slope of -1 and y intercept of 2 so it also goes with A

5. y = 1x   It has a slope of 1 and y intercept of 0 so it goes with  B

are f(x)=1/8x^3 and g(x)=2x^1/3 inverses of each other? Check all that apply.
PLEASE SHOW WORK!
The simplified expression for f(g(x)) is x.
The simplified expression for f(g(x)) is One-fourth x.
The simplified expression for g(f(x)) is 2x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
The functions are not inverses of each other.

Answers

Answer: 1,4,5

Step-by-step explanation:

The correct options are, The simplified expression for g(f(x)) is x.

The functions are not inverses of each other.

What is an inverse function?

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, f(x) = 1/(8x³).

f(x) = 1/(2x)³.

y = 1/(2x)³.

(2x)³ = 1/y.

[tex]2x = \frac{1}{y^\frac{1}{3}}[/tex].

[tex]x = \frac{1}{2y^\frac{1}{3}}[/tex].

[tex]f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}[/tex] and g(x) = [tex]2x^\frac{1}{3}[/tex] so, they are not inverses of each other.

Now, f(g(x)) = [tex]\frac{1}{8((2x)^\frac{1}{3})^3}[/tex].

f(g(x)) = 1/16x.

g(f(x)) = [tex]2(1/8x^3)^\frac{1}{3}[/tex].

g(f(x)) = x

learn more about the inverse of functions here :

https://brainly.com/question/2541698

#SPJ2

[tex]\frac{x+10}{2}[/tex]

Answers

Answer:

[tex]\frac{x}{2}+5[/tex]

Step-by-step explanation:

[tex]\frac{x+10}{2}[/tex]

To solve, you will have to divide.

[tex]\frac{x}{2}+5[/tex]

Hope this helps!

Find the x- and y-intercepts of the graph of the linear equation. y=-x+4

Answers

Answer:

Step-by-step explanation:

x-int

-x + 4 = 0

x = -4

(-4, 0)

y-int

y = 0 + 4

y= 4

(0, 4)

y+6x=11; x = -2,0, 4
Solve the equation for y.

Answers

If you use x=-2, y=23.
If you use x=0, y=11
If you use x=4, y=-13

Hope this helps
y=23 when x=-2
y=11 when x=0
y=-13 when x=4

Use area of squares to visualize Pythagorean theorem

The diagram shows a right triangle and three squares. The area of the largest square is 55 units.

Answers

Answer:

A. 12 and 43

Step-by-step explanation:

Pythagorean theorem is given as = [tex] a^2 + b^2 = c^2 [/tex]

Where, a and b are the two legs of the right triangle, while c is the hypotenuse/longest leg of the triangle.

In the figure given, the side of the largest square = the hypotenuse of the triangle = c

While the side of the other squares = a and b respectively, of the triangle.

Area of square = s², where s is the side length of the square.

Since we are given that the area of the largest square = 55, this is also equivalent to c² in the Pythagorean theorem.

The side length of the largest square = √55 ≈ 7.4 = c

Therefore, to determine the area of the other squares, check the options given if they add up to give 55.

Option A: 12 + 43 = 55

Option B: 14 + 40 = 54

Option C : 16 + 37 = 53.

The correct possible areas of the smaller squares would be A. 12 and 43.

k to the power of 8 times k

Answers

Steps to solve:

k^8 * k

~Since we are multiply k to itself, we just add one to the exponent of 8.

k^8+1

k^9

Best of Luck!

(-4, 6) and (3.-7)
Find the distance between each pair of points

Answers

Answer:

[tex]d=\sqrt{218}[/tex]

Step-by-step explanation:

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

Simply plug our coordinates into the distance formula to find the distance between the points:

[tex]d=\sqrt{(3 - (-4))^2+(-7 - 6)^2}[/tex]

[tex]d=\sqrt{(3 +4)^2+(-13)^2}[/tex]

[tex]d=\sqrt{(7)^2+169}[/tex]

[tex]d=\sqrt{49+169}[/tex]

[tex]d=\sqrt{218}[/tex]

Select the items from the following list that are included in financial literacy.

Answers

Answer:

applying for a credit card

paying taxes

opening a checking account

Step-by-step explanation:

Hope this will help yal'l

Evaluate the expression. ( 92 – 15 12) = 17 The value of the expression is​

Answers

Answer:

False

Step-by-step explanation:

Answer

false

Step by step

(92-1512)=17

help me pleaseee i dont understand it.

Answers

The first one is terminate. The second one is rational. I hope this helped you! Good luck with school!

Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
determine the numerical length of AC.

Answers

Answer:

AC = 25

Step-by-step explanation:

Since B is on the segment AC, then

AC = AB + BC, substitute values

5x = 2x +10 + x , that is

5x = 3x + 10 ( subtract 3x from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus

AC = 5x = 5(5) = 25

Simplify the following expressions and please show steps : >

Answers

I don’t see the math equation

so nobody is smart enough to answer my question?

Answers

That is ver very sad

yes,

abcdefghijklmnopqrstuvwxyz

find y if x = -3 whats the answer

Answers

A. y = 1/3 (-3) - 3 = - 6

B. y = 2(-3)^2 - 3(-3) - 2

= 2(9) - 3(-3) - 2

= 18 + 9 - 2

= 25

C. 2(-3) - 5y =4

- 6 - 4 = 5y

y = - 2

Answer:

A = -6

B = 25

C = 2

Step-by-step explanation:

-3*1/3 = -1, and -1-5=-6

2(-3)^2=2(9)=18   -3*-3=9    18+9=27    27-2=25

for the last rewrite the equation

2x-4=5y

-6-4=-10

-10=5y

y=-2

A tree is 18 feet tall. A wire runs from the top of the tree to a point 4 feet from its base. The wire is √340 feet long. Estimate the length of the wire to the nearest hundredth of a foot. The wire is about (Blank) feet long.

Answers

Answer:

The wire is about 18.44 feet long.

Step-by-step explanation:

From the question:

The wire is √340 feet long.

This implies that the length of the wire is √340 feet.

Converting the value of this length (√340) to decimal gives;

√340 = 18.439

Now, let's convert 18.439 to the nearest hundredth of a foot.

18.439 ≅ 18.44

Therefore, the length of the wire to the nearest hundredth of a foot is 18.44 feet.

In other words, the wire is about 18.44 feet long.

Distribute 6x (5 – 7x).

Answers

Answer:

30-42x

Step-by-step explanation:

Use the distributive property to multiply 6 by 5-7x.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{30 - 42x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{6(5 - 7x)}[/tex]

Distribute 6 through the parentheses

[tex] \dashrightarrow{\sf{6 \times 5 - 6 \times 7x}}[/tex]

[tex] \dashrightarrow{ \sf{30 - 42x}}[/tex]

Hope I helped!

Best regards! :D

Martha tiene un negocio en el cual vende huevos empacados por docena. Uno de sus clientes le pide solamente 5/6 de docena, ¿cuántos huevos debe venderle Martha?

Answers

Answer:

María solamente debe venderle al cliente 10 unidades

Step-by-step explanation:

Explicación paso a paso:

Una docena representa un total de doce (12) unidades. Los huevos se empacan por docena, por lo tanto si nos piden solo 5/6 de la docena, multiplicamos dicha fracción por 12 unidades:

   

5/6 · 12 = (12 · 5)/6 = 60/6 = 10 unidades

   

Por lo tanto, María solamente debe venderle al cliente 10 unidades, es decir 5/6 representa 10 unidades de los huevos

Usando conceptos de proporción, se encuentra que Martha debe vender 10 huevos al cliente.

---------------------------

Esta pregunta se resuelve por proporciones, usando una regla de tres.Una docena está compuesta por 12 huevos.  ¿cuántos huevos en 5/6 de docena?

1 docena - 12 huevos

5/6 de docena - x huevos

Aplicando multiplicación cruzada:

[tex]x = 12 \times \frac{5}{6} = \frac{12 \times 5}{6} = 2 \times 5 = 10[/tex]

Martha debe vender 10 huevos.

A similar problem is given at https://brainly.com/question/23926715

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