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
Leviafan [203]
3 years ago
14

Supervisor a earns a flat rate of $25 per hour, while supervisor b earns $20 per hour for the first 30 hours and then 50% more f

or each additional hour within a work week. if both supervisors worked the same number of hours and earned the same pay during one work week, how many hours did each supervisor work in that week?
Mathematics
2 answers:
jek_recluse [69]3 years ago
8 0
A: 25h
b:20h+30(h-30)
25h=20h+30(h-30)
5h=30h-30^2
-25h=-30^2
25h=30^2
h=900/25
kenny6666 [7]3 years ago
6 0

Answer:

Each supervisor worked 60 hours during the week.

Step-by-step explanation:

Supervisor a:

Supervisor a earns a flat rate of $25 per hour.

So his earnings are

E_{a}(t) = 25t

In which t is the number of hours he works.

Suppervisor b:

$20 per hour for the first 30 hours and then 50% more for each additional hour within a work week.

Piecewise function. So

E_{b}(t) = \left \{ {{20t, t \leq 30} \atop {20t + 10(t - 30)}, t > 30} \right

If both supervisors worked the same number of hours and earned the same pay during one work week, how many hours did each supervisor work in that week?

Can only happen after 30 hours,s o this is when

25t = 20t + 10(t - 30)

25t = 20t + 10t - 300

5t = 300

t = \frac{300}{5}

t = 60

Each supervisor worked 60 hours during the week.

You might be interested in
Given the definitions of f (x) and g(x) below, find the value of (g • f)(9).
Stells [14]

9514 1404 393

Answer:

  (g·f)(9) = 496

Step-by-step explanation:

One way to do this is to find the values of g(9) and f(9).

  g(9) = (3x -1)x +14 = (3(9) -1)(9) +14 = 26(9) +14 = 248

  f(9) = -(9) +11 = 2

Then ...

  (g·f)(9) = g(9)·f(9) = 248·2

  (g·f)(9) = 496

8 0
3 years ago
An n-sided polygon has two of its exterior angles measuring 30° and 42°.The remaining exterior angles all measure 16° each. Find
finlep [7]

Answer:

n = 20.

Step-by-step explanation:

The external angles of a polygon add up to 360 degrees. So:

30 + 42 + 16(n - 2)   = 360   where n is the number of sides of the polygon.

16n + 30 + 42 - 32 = 360

16n  + 40 = 360

16n = 320

n = 20.

5 0
3 years ago
The marked price of an article is 30% above it's selling price and the cost price is 35%less than it's marked price. find the di
SashulF [63]

Answer:

Let C be the cost price of the article. Then:

C(1+30%)=marked price

So:

C(1+30%)=C(1.3)

=1.3C

If the article is then marked down 35%, then its’ price would be:

1.3C(1–35%)=1.3C(.65)

=0.845 or 84.5% of its’ cost

Then:

0.845–1=-0.155

or, a 15.5% loss on the item

8 0
3 years ago
If f(x)=×^2+7x-5 and you divide by x-2, What is the quotient and remainder?
katrin [286]

Answer:

The quotient is : x+9

The remainder is : 13

Step-by-step explanation:

The question requires you to perform the long division method;

This will be;

x-2\sqrt{x^2+7x-5}

start with the x term in x-2 and the first term in the function, x², to get x then multiply the x with x-2 to get x²-2x and perform the operation below;

x-2√x²+7x-5 -----------to first get x and then multiply x*[x-2]⇒x²-2x

    -  x²-2x+0 ------------perform subtraction of like terms

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

            9x-5  ----now divide this answer by x-2 ,starting with x and 9x

----------------------This will give , 9 then multiply  9 by x-2 to get 9x-18 and perform the subtraction operation as;

             9x-5

      -      9x-18

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

                     13

So the answer will be; x+9 remainder 13

6 0
3 years ago
Steve and Chris are working together to weed a garden plot. Steve weeded of the plot. Chris weeded of the plot.
Radda [10]
I'm pretty sure its A.
7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the volume of the cylinder?
    5·2 answers
  • PLEASE REALLY NEED HELP
    15·1 answer
  • The area of a rectangle is 8x3 + 6x2 - 10x. The width of the rectangle is 2x. Find the length of the rectangle.
    15·1 answer
  • What is the solution to X+9 = 24?<br> A. x = 33<br>B. x= 15<br>C. x= 18<br>D. x= 9​
    13·2 answers
  • last tuesday, Regal Cinemas sold a total of 8500 movie tickets. proceeds totaled $64,600. tickets can be bought in one of 3 ways
    15·1 answer
  • Graph the equation x+4y=12 by plotting points.
    15·1 answer
  • If a figure has a length of 12, a width of 5, and a height of 15, what is its volume? Include an expression.
    11·1 answer
  • Csc x= -√2 for π≤x≤3π/2
    11·1 answer
  • If d stands for the diameter of a circle and r stands for the radius of a circle, then:
    10·1 answer
  • Samantha wants to wrap this unassembled box with paper. The base of the box measures 3 inches by 6 inches. When the box is assem
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!