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
Mekhanik [1.2K]
3 years ago
5

A patrolman spends three times as many hours patrolling as she does completing paper work. If she works 36 hours per week, how m

any hours does she spend patrolling?
Mathematics
1 answer:
fomenos3 years ago
4 0

Answer:

27 hours

Step-by-step explanation:

Let her work "x" hours for paperwork

Since, patrolling amount of hours is THREE TIMES that,

Patrolling = 3x hours

Total Hours = 36

That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:

x + 3x = 36

4x = 36

x = 36/4

x = 9 hours

Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours

So, she spends 27 hours patrolling

You might be interested in
Which is the graph of a linear equation x - 2y equals 6 ​
Lady bird [3.3K]

This is the graph hope this helps.

7 0
3 years ago
In a translation, the line segments that connect each point on the preimage to the corresponding point on the image are not only
Marianna [84]
Translation doesn't change the shape, size, or orientation of anything.
It just moves things around.

So the line segments in the image are not only congruent to the ones
in the original figure.  They're also parallel.
7 0
3 years ago
Read 2 more answers
Devin has $30 on his bus card. Every time he rides a bus, $1.20 is deducted from the value on his card. The amount if money he h
vaieri [72.5K]

Answer:

y = -1.2x + 30

x = 22

x = 15

Step-by-step explanation:

<u>Part A</u>

Initially, Devin has $30.  Then every time he rides the bus, $1.20 is taken away:  y = 30 - 1.2x

Therefore, in slope-intercept form:  y = -1.2x + 30

If he has $3.60 on his card, then y = 3.60, so substitute this into the above equation and solve for x:

                                                  3.60 = -1.2x + 30

subtract 30 from both sides:  -26.4 = -1.2x

divide both sides by -1.2:             22 = x

Therefore Devin has ridden the bus 22 times if he has $3.60 on his card.

<u>Part B</u>

Rebecca:  y = -1.4x + 33

To determine how many rides on the bus Devin and Rebecca would need to take to have the same amount of value of their bus card, simply equate the equations and solve for x:

                                          Rebecca = Devin

                                                       y = y

                                         -1.4x + 33 = 30 - 1.2x

subtract 33 from both sides:   -1.4x = -3 - 1.2x

Add 1.2x to both sides:           -0.2x = -3

Divide both sides by -0.2:             x = 15

Therefore, Devin and Rebecca would both have to take 15 rides on the bus to have the same amount of value of their bus card.

6 0
2 years ago
Why can you use the constant of proportionality with any representation?
pantera1 [17]

Answer:

  1. The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.
3 0
3 years ago
REALLY NEED HELP FOR THIS ALGEBRA 2 QUESTION THANK YOU IN ADVANCE
guajiro [1.7K]

Lets make an equation for the line first. The slope is 3 and the y intercept is -1, so we can make the equation y = 3x - 1. Then, to figure out what sign to use (<= or >= due to solid line in graph), we replace the = sign with one and see if a coordinate in the shaded area will furfill the inequality. If it doesn't, we know it needs the other inequality sign. If it does, we have found the correct inequality. So let's try y <= 3x - 1 with the coordinate (1,1). We try it, solve, and get 1 <= 2. So, the inequality for this graph is y <= 3x - 1.

6 0
3 years ago
Other questions:
  • Which ordered pair is solution of the equation 5x+y=-23?
    12·1 answer
  • LaTonya works two full-time jobs while attending college. She works 12 hours per week as a work - study student at the college a
    10·1 answer
  • According to this equation, what is the value of x at t=0? express your answer in terms of the variables a, b, m, and k.
    8·1 answer
  • Doug paid a maturity value of ​$5015.52 on a​ 2-year note with annual interest of 8​% ​(or 0.08​). Use the formula Upper M equal
    14·1 answer
  • (S^2 +r^2)^2<br><br><br> Please show me how you got the answer.
    6·1 answer
  • Draw a picture of the base and label the dimensions 140 17ft 4t Shape of the base Formula for area Perimeter of the base (P)= Ar
    9·1 answer
  • For f(x)=-3x/5+1,f(-20)
    12·1 answer
  • Someone help me please sad face i need help!!
    9·2 answers
  • In quadrilateral ABDC, AB // CD. Which additional piece of information is needed to determine that ABDC is a parallelogram? over
    15·1 answer
  • Please help im in class rn. Need Help ASAP
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!