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ycow [4]
3 years ago
15

- One night a theater sold 548 movie tickets. An adult's ticket costs $6.50 and a child's ticket cost $3.50.

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Answer:

Step-by-step explanation:

Let X= each ticket for adults and Y= each ticket for kids

x+y=548

6.50x+3.50y=2881

subtract x from each side leaving you with y= -x+548

Plug in for Y

6.50x+3.50(-x+548)=2881

6.50x - 3.50x + 1918= 2881

3x+1918=2881 ....subtract

3x=963 .....divide by 3

X= 321 tickets for adults

321+y=548 ...subtract 321

Y=227 childrens tickets

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Solve: 2x2-x = 21 {-7/2,3} {-3, 7/2}​
Sergio039 [100]

Answer:

The answer is (-3,7/2)

Step-by-step explanation:

2 {x}^{2}  - x - 21 = 0 \\ (2x - 7)(x + 3) = 0 \\ 2x - 7 = 0 \:  \:  \: or \:  \: x + 3 = 0 \\ x =  \frac{7}{2}  \:  \: and \: x =  - 3

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

4 0
3 years ago
Two times the smaller of two consecutive integers is equal to 2 more than the larger. What is the LARGER integer?
LenaWriter [7]

Answer:

The larger integer is 4.

Step-by-step explanation:

Given: Two times the smaller of two consecutive integers is equal to 2 more than the larger.

To find: The larger integer.

Solution:

Let the two consecutive integers be x and x+1,  where the smaller integer is x and larger integer is x+1.

Now, according to question.

Two times the smaller integer = 2 more than the larger integer.

\implies 2x=x+1+2

\implies 2x-x=3

\implies x=3

So, the smaller integer is 3, and the larger integer is 3+1=4.

Hence, the larger integer is 4.

8 0
3 years ago
Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks ​
stealth61 [152]

Answer:

Step-by-step explanation:

y ∝ x^2

Introducing the proportionality constant, we have  

y = kx^2

Given : y= 18 when x = 3

substitute the given values in order to get the constant

i.e 18 = k x 3^2

     18 = 9k

      k = 2

therefore the formula connecting  x and y

⇒ y = 2x^2

To find y if x is 4, just substitute x = 4 into the formula connecting x and y

i.e y = 2 x 4^2

       = 2 x 16

       = 32

4 0
3 years ago
Allegra has a cell-phone plan that charges $65 per month and $0.10 for every minute that she uses the phone beyond what her plan
Bond [772]
It seems confusing, but it's just breaking down the steps for you. It's done the same as any other word problem.
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
   The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
     8.40 = 0.10m
       84 = m
d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.
8 0
3 years ago
5. PLEASE HELP
lana66690 [7]

Answer:

The potential energy of the ball having 2kg mass would be 392 J

Step-by-step explanation:

I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.

Considering the formula for calculating the gravitational potential energy

G.P.E\:=\:m.g.h

As

m = 2 kg

Acceleration of gravity = g = 9.8 ms^{-2}

As the ball is on the height = h = 20 meters

So,

G.P.E\:=\:(2)(9.8)(20)

G.P.E\:=392 J

Therefore, the potential energy of the ball = 392 J

Keywords: potential energy, Gravitation potential energy

Learn more potential energy from brainly.com/question/14022793

#learnwithBrainly

5 0
3 years ago
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