Lara employed a residential cleaning service to tidy up her home. They charged her $150 for 3
hours of work. Her neighbor, Roy hired the same agency and paid them $225 for their services.
How many hours did they take to complete the job at Roy's home?

Answers

Answer 1

Answer:

Step-by-step explanation:

Find the rate that was charged for Lara's time

       rate = dollars / hour

The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same.  Solve for hours.....

      rate for Lara = dollars / hour        =  $150 / 3 hour   =     $50 / hour

     rate for Roy = dollars / hour         Solve for hours

                                                            multiply both sides by hours

     (rate for Roy) (hour) = (dollars / hour) (hour)

     (rate for Roy) (hour) = (hour) (dollars / hour)       right side hours cancel

     (rate for Roy) (hour) = (dollars)     divide both sides by (rate for Roy)

     (rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)

                       now the rate for Roy on the leftside cancel

     (rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)

     (hour) = (dollars) / (rate for Roy)           Plug in $225 charged to Roy

                                                                     and the $50 / hour rate

   

       hour = $225 / ($50/hour)             ( 1 over 1 / hour )  = hour  

                = $(225/50) hour            think about  1 / (1/2)  = 2  the same with units

      hour =  4.5 hours

     


Related Questions

which of the following equations is quadratic?
A. x( x² + 1) = 0
B. 5(4x + 2) = 3
C. (x + 3)(x + 4) = 5

Answers

its (x+3)(x+4)=5 , the third one

pleae answer this fast asap

Answers

Answer:

I think its (2, 1) .

Step-by-step explanation:

the 2 represents the x axis

the 1 represents the y axis

Please help me with those questions

Answers

I’ve attached my work...
Hope it helps!
If you have any questions, comment!
Have a nice day or night:)

Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?

f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power

f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power

f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power

f(x)=−23,540(0.95)x

Answers

Hey I want you to know to have a bless day

The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

What is function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.

The depreciation rate =

A = P(1-r)ⁿ

Where, A = amount final

P = initial amount

r = rate and n = number of the years

Therefore,

The depreciation rate =

f(x) = 23540(1-0.05)ˣ

f(x) = 23540(0.95)ˣ

Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.

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A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.

Answers

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

Sketch of the ship's motion

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

Displacement of the ship

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

Direction of the displacement

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

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Its due today plz help me out
Find the value of X?

Answers

Answer:

168

Step-by-step explanation:

the angles of a hexagon should add us to 720, subtract all teh given angles from the total and you find x.

Is it, A, B, C, Or D?

Answers

Answer:

C

Step-by-step explanation:

6(2m+5n)

12m+30n

Jacob had multiplied 6 to 2m right which is 12m but multiplied 6 and 5n wrong as he thought it was 11n yet it is 30n.

Find the length of side x in the simplest radical form with a rational denominator.

Answers

Answer:4.243

Step-by-step explanation:https://www.omnicalculator.com/math/right-triangle-side-angle?c=USD&v=given:0,angle_beta1:45!deg,b1:3!inch

Plsss help this is hard for me

Answers

Diameter is radius plus radius so its 14. Circumference is radius times pi which is 3. 14 so the answer for Circumference is 43.98.
Area is 153.94 the formula is A= nr to the power of two

PLEASE HELP ASAP PLEASE​

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Answer:

288 cm^3

Step-by-step explanation:

Todd works a different amount of hours each week. If he earns $46.56 for 8 hours of work,
how much will he earn for 23 hours of work?
Answer: $

Answers

Answer:

should be $133.86

Step-by-step explanation:

46.56 divided by 8 to get money per hour, then multiplied by 23 to get money earned after 23 hours

JLK ~ PQR Find the value of x.

Answers

Answer:

12

Step-by-step explanation:

if their similar then find the proportion with a cross multiplication equation

x/36 = 13/39

x*39 = 36*13

39x = 468

x = 468/39

x = 12

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{JL}{PQ}[/tex] = [tex]\frac{JK}{PR}[/tex] , substitute values

[tex]\frac{x}{36}[/tex] = [tex]\frac{15}{45}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )

3x = 36 ( divide both sides by 3 )

x = 12

PLS HELP ASAP IN LIKE 1 MINUTE
A shopping bag contains 18 red potatoes and 12 white potatoes. You choose one potato from the bag without looking. Calculate P(~white potato).

Answers

I’m pretty sure it would be red

Answer:

2/5

Step-by-step explanation:

Red potato: 18

White potato: 12

Combined: 30

Probability of white potato:

12/30

2/5

Can someone please help me with math.

Answers

Answer:

13.C

14.C

Step-by-step explanation:

Hello There!

For 13

The question is asking, which percentage would Darian most likely receive if he had studied for 9 hours.

The line of best fit would be used to determine the percentage he would most likely score based on the amount of hours he studied

Looking at the line of best fit we notice that at 9 hours Darian would most likely score a 78% on the test

Thus the answer is C

For 14

The question want you to find the graph that has a constant rate of change and has a y intercept of (0,0) so essentially

The question is asking "which graph best represents a proportional relationship."

If a relation is proportional it would have  a straight line and it would go through the origin (0,0)

Looking at C we notice that the line is straight ( meaning it has a constant rate of change) and it also goes through the origin therefore C is your answer

solve 3(2x + 1) in standard form

Answers

3(2x+1)
= 6x +3

Hope this helps!! :)

Answer:

3(2x+1)= 6x+3

Step-by-step explanation:

Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3

what does -5 3/4 -3 1/2 equal

Answers

Answer:

Step-by-step explanation:

-9 1/4 is the aswer

what os the best description pf addititon property of equality

Answers

Answer:

The use of the addition property of equality is sound, and the answer is correct

Step-by-step explanation:

Addition Property of Equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Hope this helps; have a great day!

Wilson's brother earns $185 each month working an after-school job. What is the total amount of money he will earn after
working for 12 months?

Answers

185 • 12 = $2,220
So your answer is $2,220

I need help with this math problem on get more math the photo is at the top

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Answer:

30

Step-by-step explanation:

6x5=30 Just took the test and got 100%

Sue has 18 sweets.
Tony also has 18 sweets.

Sue gives Tony x sweets.
Tony then eats half of his sweets.

Write expressions for the number of sweets Sue and Tony now have.​

Answers

Answer:

Sue = 18-x

Tony = (18+x)/2

Step-by-step explanation:

Sue donates x amount of sweets

Tony receives x amount of sweets then eats half of them.

Help me solve this

6(5x -3) =6(5x−3)=

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

The two sides of this equation are identical.  Thus, this is an 'identity.'  The equation will be true no matter what value is substituted for x.  Thus, there are infinitely many solutions.

please help asap.1-5.

Answers

1) x-(-6)
2) n/-7
3)y+(-4)
4)add +8 to the right side
5) divide 5 from the right side

Sry if some on them are wrong

C'mon people! For the function g(x) = 2x2 – 19, what is the difference quotient?


A. 2h; h ≠ 0

B. 2x + 2h; h ≠ 0

C. 4x + 2h; h ≠ 0

D. 4x + 2h – 19; h ≠ 0

Answers

Answer:

C. 4x + 2h; h ≠ 0

Step-by-step explanation:

Step-by-step explanation:

A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.

Find Limit of f (x) as x approaches 2 f(x), if it exists.

2

0.3

0

DNE

50 points! Look at the picture attached. I will mark brainliest

Answers

i’m pretty sure the answer would be 116

Answer:

Step-by-step explanation:

The small triangle is similar to the triangular face. Its side edges are half the length of the side edges of the face, so its base is half the length of the face.

2*58 ft = 116 ft

The length of the base of the pyramid is 116 ft.

help !! I can't figure this question out.

Answers

Answer:

C And D!

Step-by-step explanation:

Answer: I think it’s A (x + 4 = 14) I’m not sure though

If x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.

Answers

Answer:

x = 2.

Step-by-step explanation:

y = k/x

11 = k/1

so k = 11

y = 11/x

When y = 5.5:

5.5 = 11/ x

x = 11/5.5

= 2.

The values of x and y vary inversely, if the value of y is 5.5 then the value of x will be equal to 2.

What is an arithmetic operation?

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the information provided in the question,

y = k/x

11 = k/1

k = 11

y = 11/x

If y = 5.5,

5.5 = 11/ x

x = 11/5.5

x = 2.

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Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and CD.

Answers

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

[tex]OA = 2x + 9y[/tex]

[tex]OB = 4x + 8y[/tex]

[tex]CD = 4x - 2y[/tex]

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

[tex]AB = (c - a)x + (d - b)y[/tex]

Where:

[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]

[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]

This implies that:

[tex]a =2[/tex]      [tex]b = 9[/tex]     [tex]c = 4[/tex]   [tex]d = 8[/tex]  

So:

[tex]AB = (c - a)x + (d - b)y[/tex]

[tex]AB = (4 - 2)x + (8 - 9)y[/tex]

[tex]AB = 2x -y[/tex]

So, we have:

[tex]AB = 2x -y[/tex]

[tex]CD = 4x - 2y[/tex]

Calculate the slope (m) of [tex]AB\ and\ CD[/tex]

[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]

For AB

[tex]m_1 = \frac{-1}{2}[/tex]

[tex]m_1 = -\frac{1}{2}[/tex]

For CD

[tex]m_2 = \frac{-2}{4}[/tex]

[tex]m_2 = \frac{-1}{2}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

By comparison:

[tex]m_1 = m_2 = -\frac{1}{2}[/tex]

This implies that both lines have the same slope

The blinker on Brendan’s Bugatti blinks 22 times every 48 seconds. how many times will the blinker blind in 24 seconds ?

Answers

Answer:

11 times.

Step-by-step explanation:

Can you please give me a brainlist

A teacher wants to determine how to sit 30 students in a classroom.
What simulation can be used determine where the students sit?
A
A coin is used and assigned for every two students.
B
A six-sided number cube and every 6 students are assigned
a side.
С
A random number generator where each student is assigned a number.
D
A standard deck of cards is used and students are assigned to the cards.

Answers

Answer:

I think C. because that will be easier and less chaotic

Alex, x, saved 30 dollars and Ethan saved 1
3
more than that.
Ethan saved _______________ dollars

Answers

ethan saved 43 more dollars than alex
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