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
grin007 [14]
2 years ago
5

The lowest monthly commission that a salesman earned was only 1/5 more than 1/4 as high as the highest commision he earned. The

highest and lowest comissions when added together equal $819. What was the lowest comission?
Mathematics
1 answer:
Lina20 [59]2 years ago
5 0

Answer: the lowest commission is $163.96

Step-by-step explanation:

Let x represent the lowest monthly commission that a salesman earned.

Let y represent the highest monthly commission that a salesman earned.

The lowest monthly commission that a salesman earned was only 1/5 more than 1/4 as high as the highest commission he earned. This means that

x = y/4 + 1/5 - - - - - - - - 1

The highest and lowest commissions when added together equal $819. This means that

x + y = 819

x = 819 - y - - - - - - -2

Substituting equation 2 into 1, it becomes

819 - y = y/4 + 1/5

Multiplying through by 20, it becomes

16380 - 20y = 5y + 4

25y = 16380 - 4 = 16376

y = 16376/25 = 655.04

x = 819 - 655.04 = 163.96

You might be interested in
It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1
3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts=1114 \text{miles}

Time taken to cover the distance =4\text{hours} and 15\text{minutes}

We know that,

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}

                                          =\frac{1114}{\frac{17}{4}}

                                          =\frac{1114\times4}{17}

                                          =262.12 \text{mph}

It is given that,

1\text{mile}=1.6\text{kilometer}

therefore,

1\text{mph}=1.6\text{kph}

Speed Of plane in Kilometers per hours =\text{speed in mph}\times1.6

                                                                   419.4\text{kph}

Speed of in miles per hour  is 262.12 \text{mph} and Speed in kilometer per hour  419.4\text{kph}

3 0
3 years ago
The heights of a students(in cm) are:54,52,56,54,58,51.<br><br> Find the median.​
kumpel [21]

Answer:

To answer this question you will use the median height of 156 centimeters and the fact that there are 26 kids in the class to know that the median is not in the data set, therefore it breaks the data into two equal halves with 13 in each half.

There would be 13 less or equal to the median height.

hope i helped ;)

6 0
3 years ago
What's the answer????
Svetllana [295]
I would try b the rise\run is 2\2 so give it a go
8 0
3 years ago
A particular state has elected both a governor and a senator. Let A be the event that a randomly selected voter has a favorable
Elodia [21]

Answer:

Step-by-step explanation:

Given that A be the event that a randomly selected voter has a favorable view of a certain party’s senatorial candidate, and let B be the corresponding event for that party’s gubernatorial candidate.

Suppose that

P(A′) = .44, P(B′) = .57, and P(A ⋃ B) = .68

From the above we can find out

P(A) = 1-0.44 = 0.56

P(B) = 1-0.57 = 0.43

P(AUB) = 0.68 =

0.56+0.43-P(A\bigcap B)\\P(A\bigcap B)=0.30

a) the probability that a randomly selected voter has a favorable view of both candidates=P(AB) = 0.30

b) the probability that a randomly selected voter has a favorable view of exactly one of these candidates

= P(A)-P(AB)+P(B)-P(AB)

=0.99-0.30-0.30\\=0.39

c) the probability that a randomly selected voter has an unfavorable view of at least one of these candidates

=P(A'UB') = P(AB)'

=1-0.30\\=0.70

3 0
3 years ago
11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.​
tamaranim1 [39]

Answer:

R(16,-8)

Step-by-step explanation:

if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.

then x=(x1+x2)/2

and y=(y1+y2)/2

let coordinates of R are (x,y)

4=(-8+x)/2

8=-8+x

x=8+8=16

-3=(2+y)/2

-6=2+y

y=-6-2=-8

so R is (16,-8)

8 0
3 years ago
Other questions:
  • The area of the square game board is 144 as in what's the length of the sides of the board
    8·1 answer
  • Help on parallel or perpendicular lines
    7·2 answers
  • Evaluate the expression.
    10·2 answers
  • A bag contains 3 red marbles and 4 blue marbles.
    11·1 answer
  • If a line was drawn perpendicular to one whose equation is 4x+2y=11, then its slope would be which of
    8·1 answer
  • Simplify the expression below:<br> 7 a2 + 10a - 3a – 2a2
    14·1 answer
  • Can somebody please help me with this question and provide an explanation?
    10·2 answers
  • More question so i dont get banned lol <br><br><br><br> memes
    13·2 answers
  • Keith buys 45 tickets for rides at the amusement park. Each ride requires 6 tickets to ride. If Keith already has gone on x ride
    10·1 answer
  • A line intersects the points (3,6) and (5, -4). m=-5 write an equation in point-slope form using the point (3,6)y - [?] = __ (x
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!