1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kobusy [5.1K]
3 years ago
5

Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate

Mathematics
1 answer:
Tom [10]3 years ago
3 0

Answer:

\$60\ per\ hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x -----> the number of hours worked

y ----> the amount paid in dollars

In this problem we have a proportional variation, between two variables, x, and y

<em>Find out the constant of proportionality k</em>

For (5,300) -----> k=y/x ----> k=300/5=60\ \$/h

For (4,240) -----> k=y/x ----> k=240/4=60\ \$/h

For (6,360) -----> k=y/x ----> k=360/6=60\ \$/h

The constant k is

k=60\ \$/h

The equation is equal to

y=60x

The unit rate of change of dollars with respect to time is equal to the constant of proportionality or slope of the linear equation

therefore

\$60\ per\ hour

You might be interested in
Here are two steps from the derivation of the quadratic formula. What room place between the first step and the second step?
Vaselesa [24]

Answer:

Step-by-step explanation:

The problem solver "completed the square."  He or she took half of the coefficient of x and squared the result, and then added this square and subtracted this square to/from both sides of the equation.

8 0
3 years ago
Read 2 more answers
Find the length of AB
Lady_Fox [76]

Hey there! :)

Answer:

arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)

Step-by-step explanation:

Begin by finding the circumference of the circle. Use the formula:

C = 2rπ

C = 2(9)π

C = 18π.

Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:

\frac{50}{360}  = \frac{x}{18\pi }

Cross multiply:

50 · 18π = 360x

900π = 360x

Divide both sides by 360:

x = 2.5π in, or ≈7.85 in.

5 0
3 years ago
What's 723 divided by 31 please show work!!
mojhsa [17]
732/31= 23.612 (3dp)
it’s hard to show your working out when you don’t know the 31 times table
8 0
3 years ago
If (2 − 3i) + (x + yi) = 6, what is x + yi?
Andrew [12]
(2 - 3i) + ( x + yi) = 6
(x + yi) = 6 - (2 - 3i)
Distribute the - to the 2 - 3i and get
x + yi = 6 - 2 + 3i
Accumulate like terms.
x + yi = 4 + 3i. Answer
5 0
3 years ago
a construction worker brought several bottles of juice for $3 at that conventional store she paid for them with $20 bills.if j r
Alexxandr [17]
20 - 3j <== ur expression
5 0
3 years ago
Other questions:
  • Which formula can be used to describe the sequence?<br> *<br> *)=<br> )<br> -*
    14·1 answer
  • On four exams, Wallace’s grades were 79,93,91, and 68. What grade must he obtain on his fifth exam to have an 80 average?
    15·2 answers
  • How to make 12 and half to a percent
    8·1 answer
  • What number is divisible by ?<br> 2 3 5 or 10 <br><br> a)130<br> b)123<br> c)555<br> d)5564
    13·1 answer
  • Analyze the function’s graph to determine which statement is true.
    16·1 answer
  • Can you help me with this question?
    12·2 answers
  • A runner’s distribution of times for running 1,000 meters has a mean of 4.5 minutes with a standard deviation of 0.75 minutes. O
    11·1 answer
  • Que es la propiedad conmutativa,<br> necesito un ejemplo por favor es para mañana a la primera hora
    15·1 answer
  • HELPPP ME PLEASEE
    12·1 answer
  • HELLLLLLP RNNN PLSSSSSSSSSSSS
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!