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
dalvyx [7]
3 years ago
13

A’s DJ service charges a $200 setup fee and $75 an hour after that.

Mathematics
1 answer:
Bogdan [553]3 years ago
8 0

The total cost includes the setup cost + per hour cost.

Let, x represents the time and y represents the total cost.

y=200+75x .... (1)

Let Y represent the cost for B's DJ service.

y=125x .... (2)

a. Graphing both the equations give the intersection point (solution) as (4,500)

It means for 4 hours, the total cost of both the DJ's is same at $500.

b. Substitution Method.

Plug y = 125x in equation (1)

125x= 200+75x

125x-75x=200

50x=200

x=4

y=125\times 4 =500

Hence, the total cost for 4 hours in both the service is $500.

c. Addition method.

Multiply equation (2) by -1

-y = -125x.... Equation (3).

Add euation (1) and equation (3)

y+(-y) = 200+75x-125x

0=200-50x

50x=200, x=4

y=500

Solution: For x = 4, y = 500 ( same as the previous two methods)

For x = 2, equation (1)

y=200+(75\times 2) = 350

For x = 2, equation (2)

y= 125\times 2 =250

Hence, for 2 hours, DJ B would be a better choice since it would charge $250.

For x = 6 hours, equation (1)

y=200+(75\times 6) =650

For x= 6, equation (2)

y=125\times 6=750

For 6 hours, DJ A would be  better option since it charges $650 for 6 hours.



You might be interested in
Juice is made up by diluting concentrate with water in the ratio 1:5. If 200ml of concentrate is used ,how much juice will be ma
natta225 [31]

Answer: 1,200 ml

Step-by-step explanation:

The ratio is 1 : 5.

If 200 ml of concentrate is used, the water used will be:

1     :    5

200 :   x

x = 1,000 ml of water

The amount of juice would be:

= water + concentrate

= 1,000 + 200

= 1,200 ml

5 0
3 years ago
Which expression is the factorization of x² + 10x + 21?
Firlakuza [10]
The answer is (x+3)(x+7)
7 0
3 years ago
The construction cost for this road ha been estimated at $135 per linear foot. (1 mile = 5280 ft).
Mamont248 [21]
T. Pitagora twice => new street = 2\sqrt{20} = 8.94 miles;
135*8.94 = 1206.9$;
8 0
3 years ago
Please help me!!!! I will give brainliest!
lisabon 2012 [21]
36=90/100 x a; 36=9/10 x a; a= 36/(9/10); a=360/9; a= 40

The Ice Cream shop served 40 customers.
5 0
3 years ago
Read 2 more answers
Describe the transformations necessary to get from the graph of the parent function f(x)=x? to the
VashaNatasha [74]

Answer:

 translate the graph 5 units left and down 2 units

Step-by-step explanation:

To translate the function f(x) by an amount h units right and k units up, make the transformation ...

 g(x) = f(x -h) +k

Comparing this to your equation,

 g(x) = f(x +5) -2

we see that the translation is h = -5, k = -2.

The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).

4 0
3 years ago
Other questions:
  • I really need help >_< please and thank you
    10·1 answer
  • 1. The length of ribbon available is 46 feet. The banner has a length of 15 feet and an unknown width. The ribbon goes around th
    8·1 answer
  • While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the
    8·1 answer
  • A farmer has 6 buckets of blueberries and wants to sell them at a market stall. The farmer will charge $1.50 per pint. If each b
    7·2 answers
  • Simplify 4^5/4^3 and show steps
    12·1 answer
  • Find a polynomial equation that has double zeros at x = -3, and x = 4.
    13·1 answer
  • Find the slope of ( - 9,3) ( - 5,7)
    5·2 answers
  • Geometry, I need help thanks
    14·2 answers
  • Solve 7b = 91<br> Please answer
    8·2 answers
  • What is the radius of a circle with a Circumference of 64 pi yards?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!