All categories

3 years ago

PLEASE HELP NEED NOW!!!

Mathematics

1 answer:

Assoli18 [71]3 years ago

3 0

Answer:

<u>The Springfield Movie Theater last Thursday sold 65 adult tickets and 24 children's tickets.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the problem correctly:

Price of adult ticket = US$ 4.10

Price of children ticket = US$ 2.70

Last Thursday total collection = US$ 331.30

Total movie watchers = 89

Number of adults = x

Number of children = y

2. How many of each type of ticket were sold on Thursday?

Let's build our equations system to answer the question, this way:

x + y = 89

4.10x + 2.70y = 331.30

Solving for x on the 1st equation:

x + y = 89

x = 89 - y

Replacing x on the 2nd equation and solving for y:

4.10x + 2.70y = 331.30

4.10 (89 - y) + 2.70y = 331.30

364.90 - 4.10y + 2.70y = 331.30

-1.40y = 331.30 - 364.90

-1.40y = - 33.60

y = -33.60/-1.40

y = 24

Solving for x:

x + y = 89

x + 24 = 89

x = 89 - 24

x = 65

Proof of x = 65 and y = 24

4.10x + 2.70y = 331.30

4.10 * 65 + 2.70 * 24 = 331.30

266.50 + 64.80 = 331.30

331.30 = 331.30

We proved that x = 65 and y = 24 are correct

You might be interested in

Graph the function. For the function whose graph is shown below, which is the correct formula for the function? y = –x – 1 y = x

rusak2 [61]

You forgot to mention the graph.
So, I make the graph of both given functions and you will compare your graph with them.

First, y= -x-1
put y=0 you get point (-1,0) called x-intercept
put x=0 you get point (0,-1) called y-intercept
join both the points, you will get the graph
Graph is attached in the picture.

Second, y= x+1
put y=0 you get point (-1,0) called x-intercept
put x=0 you get point (0,1) called y-intercept
join both the points, you will get the graph
Graph is attached in the picture.

4 0

3 years ago

Tramserran? Do you think you could lend a hand for these questions? You have saved my life on more than one occasion. It's Algeb

Makovka662 [10]

Answer:

#1). 6 , 18 , 54

#2). 5/3 , 14 / 9 , 41/27

#3). 1.5 , 2.5 , 2.5

Step-by-step explanation:

#1).

g(x) = 3x

g(2) = 3 . 2 = 6

g²(2) = 3 . 3 . 2 = 18

g³(2) = 3 . 3 . 3 . 2 = 54

#2).

g(x) = 1/3 x + 1

g(2) = 2/3 + 1 = 5/3

g²(2) = g(5/3) = 5/9 + 1 = 14/9

g³(2) = g(14/9) = 14/27 + 1 = 41/27

#3).

g(x) = -1 ║x - 2 ║ + 3

g(0.5) = -1 (1.5) + 3 = 1.5

g²(0.5) = g(1.5) = -1(0.5) + 3 = 2.5

g³(0.5) = g(2.5) = -1(0.5) + 3 = 2.5

8 0

3 years ago

Read 2 more answers

Suppose you toss a coin four times. What is the probability that you get heads on the second, third, and fourth losses?

Svetach [21]

Answer:

3:4

Step-by-step explanation:

probability = what wanted : total outcome

= 3 heads : 4 tosses

= 3 : 4

4 0

3 years ago

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.

jenyasd209 [6]

The function is $f(x)=x^3-11x^2+36x-36$ .

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that

f(3)=27-99+108-36=135-135=0,
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).

Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6.

The y-intercept is f(0), which is -36.

Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly,

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity,

and it goes to minus infinity as x goes to - infinity.

7 0

3 years ago

If Martha earns $3.25 per hour for babysitting, how much will she earn in: 1.5 hours? 2.5 hours? 3.5 hours?

IgorC [24]

IF MARTHA EARNS 3.25/HOUR FRO BABYSITTING (SHE IS UNDERPAID!)
IN 1.5 HOURS=3.25*1.5=4.88 DOLLARS
IN 2.5 HOURS=3.25*2.5=8.13 DOLLARS
IN 3.5 HOURS=3.25*3.5=11.38 DOLLARS

6 0

3 years ago

Read 2 more answers