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
Please helppp
tangare [24]

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

3 0
3 years ago
If there is 1/2 of a pizza and jonas only wants 1/3 of the pizza, how much will he get?
slamgirl [31]

Answer:

Option C is the right answer.

Step-by-step explanation:

1/2 × 1/3 = 1/6

8 0
2 years ago
Read 2 more answers
Someone who takes care of sheep is a______. What is the name of someone who takes care of sheeps please help????
bagirrra123 [75]
They are called shepard
5 0
3 years ago
Read 2 more answers
Apply the distributive property to create an equivalent expression. ( 1 − 2 g + 4 h ) ⋅ 5 =
mina [271]

Answer:

{(1-2g) + 4h] x 5 =

Step-by-step explanation:

8 0
2 years ago
(t9)-8 what is the simplify expression
musickatia [10]
The answer would be -72t because all you would have to do is multiply the expression
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which fraction is bigger 1/3 or 2/6. Explain
    13·1 answer
  • Steven wakes up for school at 6:30 in the morning. if school starts at 8:00 am, how long does he have from the time he wakes up
    12·1 answer
  • Let's consider a jar consists of 20 marbles. 12 are red and 8 are green. John picked 2 marbles at random. What is the probabilit
    10·1 answer
  • Find the next three terms in the geometric sequence. 2,-16,128,-1024,...
    14·1 answer
  • The answer I need help
    6·1 answer
  • The sum of 3 consecutive numbers is 99 what are the numbers ​
    5·1 answer
  • How has personal finance literacy affect you in your daily life?
    6·1 answer
  • 25 POINTS FOR ANSWER<br> 7x+5y=19<br> -7x-2y=-16
    10·1 answer
  • In △ABC, ∠ABC = 60○
    12·1 answer
  • Which algebraic expression is equivalent to this expression.3(2x-8)-11xA. -5x-24B. -17X -24C. -5X -8Please help I will mark you
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!