Select the correct answer

At a movie theater, the price of two adult tickets and for children ticket is $40 the price of a daughter gets into trouble to g

den301095 [7]

Answer: The price for one adult ticket is $10 and the price for one child ticket is $7.

Step-by-step explanation:

<h3> The correct exercise is: "At a movie theater, the price of 2 adult tickets and 4 children tickets is 48$. The price of 5 adult tickets and 2 child tickets is 64$. What is the price for one adult and one child?"</h3>

Let be "a" the price (in dollars) for one adult ticket and "c" the price (in dollars) for one child ticket.

Set up a System of equations with the data given in the exercise:

$\left \{ {{2a+4c=48} \atop {5a+2c=64}} \right.$

You can use the Elimination method to solve the System of equations:

1. Multiply the second equation by -2.

2. Add the equations.

3. Solve for "a".

Then:

$\left \{ {{2a+4c=48} \atop {-10a-4c=-128}} \right.\\........................\\-8a=-80\\\\a=\frac{-80}{-8}\\\\a=10$

4. Substitute the value of "a" into any original equation.

5. Solve for "c":

$2(10)+4c=48\\\\4c=48-20\\\\c=\frac{28}{4}\\\\c=7$

8 0

3 years ago

How to do this question plz answer my question

Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so $45\cdot100=4500$ m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula $\pi r^2$

The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.

First circle's radius: $20\div2=10$

Second circle's radius: $10\div2=5$

Third circle's radius: $5\div2=2.5$

Now let's find the area of each circle.

<em>First Circle</em>: $\pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314$

<em>Second Circle</em>: $\pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5$

<em>Third Circle:</em> $\pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625$

Adding all of these values gets us 412.125.

Now we can subtract from this from 4500 to get us 4087.875

If the grass seeds that cost £1.49 cover 50m² each, then we need $4087.875\div50=81.7575$ bags.

Each bag costs £1.49, so the total cost is $81.7575\cdot1.49\approx121.82$

Hope this helped!!

5 0

3 years ago

( 1 1/3 + 5/6) divided by 1/6

PSYCHO15rus [73]

Answer:

13

Step-by-step explanation:

Mark me brainliest plz

5 0

3 years ago

Read 2 more answers

In the function f(x) = 5(x2 − 4x + ____) + 15, what number belongs in the blank to complete the square?

Georgia [21]

If you would like to find the number which belongs in the blank to complete the square, you can calculate this using the following steps:

f(x) = 5(x^2 - 4x + a) + 15
a ... the number = ?

<span>x^2 - 4x + a = (x - 2)^2 = x^2 - 4x + 4
</span>a = 4

The correct result would be 4.

5 0

3 years ago

Read 2 more answers

brandon has $700 in a savings account at the beginning of the year. he withdraws $30 each week to go out to eat. he wants to fin

Damm [24]

Answer:

18 weeks

Step-by-step explanation:

Initial amount stored in savings account = $700

Final minimum amount required in the account = $150.

Thus,

The total amount of money he can spend = (700 - 150) = $550

Each week he is withdrawing $30 to go out to eat.

Since , maximum money he can spend should be multiple of 30 ,

Thus maximum he can spend $540

number of weeks he can do this = $\frac{540}{30}$

= 18.

So, he can take out $30 each week to go out to eat for 18 weeks only.

6 0

3 years ago