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
enyata [817]
3 years ago
6

FASTTTTTTTTT PPPPPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZ

Mathematics
2 answers:
ikadub [295]3 years ago
7 0

Answer:

B. No, the corresponding system of equations has multiple solutions; $2

Step-by-step explanation:

a) B. No, the corresponding system of equations has multiple solutions

Set up a system of equations where x = ticket cost, and y = popcorn.

The equations would be:

12x + 8y = 184 and 9x + 6y = 138

There would be no solution, because the first equation is the 2nd equation multiplied by 4/3.

b) Set up a system of equations, where x = ticket cost, and y = popcorn. The equation would be 5x + 4y = 82, and another equation would be 12x + 8y = 184 (taken from previous part). You multiply " 5x + 4y = 82" by 2, and get 10x + 8y = 164 and subtract it from the other equation, to get 2x = 20, which makes x = 10, and y = 8. That makes a ticket cost $2 more than a popcorn

Deffense [45]3 years ago
5 0

Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    30t + 24p = 492

________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

You might be interested in
Ratio in simplest form 8 pounds to 10 pounds
FinnZ [79.3K]

Answer:

4:5

Step-by-step explanation:

You can divide two to each number.

8 divided by 2 equals 4.

10 divided by 2 equals 5.

6 0
3 years ago
Read 2 more answers
Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?
Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0
3 years ago
Please help 3 time askingggg help meeee
Drupady [299]

Answer:

5. -2 3/4, -2.2, 2.8, 3 1/8

6. -0.6 , 0.65 , 2/3 , 4/5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%28x-4%29%5E%7B2%7D%20%5E%2B%28y-3%29%5E%7B2%7D%20%3D16" id="TexFormula1" title="(x-4)^{2} ^+(
sergij07 [2.7K]

an equation for a circle has formula

(x-m)² + (y-n)² = r²

where (m,n) is its center

and r is its radius

so, the equation has center (4,3) and radius 4

the equation is derived from the pythagorean theorem

8 0
2 years ago
I need this to be answered by 11:59 pm pls help
Gnesinka [82]

Answer:

Step-by-step explanation:

1) 8

2) ?

3) g=7

4) v=6

5)x=-4

6) p=8

now #2 i havent learnd yet but all the others. EASYYYYY i love math just choose me if you are having troubles in algebra at all i got you bro <3

5 0
2 years ago
Other questions:
  • Mora was preparing for 3 achievement assessments. She spent 3.6 hours of studying over the weekend. If she spent an equal amount
    11·2 answers
  • What are the measures of ∠1, ∠2, and ∠3? Enter your answers in the boxes.
    13·1 answer
  • Kelly is making a triangular chicken coop as shown in the diagram below. She is going to fence in the area for her chickens.
    10·1 answer
  • What is the best name of the solid that can be formed by this net? rectangular pyramid rectangular prism triangular prism tetrah
    6·2 answers
  • Maria’s dinner bill is 22.88 after tax is she wants to leave a 20% tip what will the total cost of the dinner be .
    15·1 answer
  • Vivi is a drummer for a band. She burns 756756756 calories while drumming for 333 hours. She burns the same number of calories e
    6·1 answer
  • I'm not the brightest please help.
    5·2 answers
  • HELP MEEEEEE PLEASEEEEEEEEEEEEEEE
    12·2 answers
  • What is the simplest form of this expression –x3(3x+1)-2x4?
    14·2 answers
  • Answer some of the questions, please
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!