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Assoli18 [71]
3 years ago
8

There are 40 students in a class and 30% of these students passed their history test.

Mathematics
1 answer:
julsineya [31]3 years ago
5 0

Answer:

12 10

Step-by-step explanation:

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14. The maximum capacity for seating in a theater is 500 people. The theater sells two types of
Eva8 [605]

Taking into account the definition of a system of linear equations, the amount of adult tickets sold is 356 and the amount of child tickets sold is 144.

<h3>System of linear equations</h3>

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

<h3>Amount of ticket sold</h3>

In this case, a system of linear equations must be proposed taking into account that:

  • "x" is the amount of adult tickets sold.
  • "y" is the amount of child tickets sold.

The maximum capacity for seating in a theater is 500 people. If they sold out on a certain showtime, this is represented by x+y=500.

On the other side, the theater sells two types of tickets, adult tickets for $7.25 each and child tickets for $4 each and the made a total of $3,157. This is represented by 7.25x +4y=3157.

So, the system of equations to be solved is

\left \{ {{x+y=500} \atop {7.25x+4y=3157}} \right.

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable x from the first equation you get:

x=500 - y

Substituting this expression in the second equation you get:

7.25× (500 -y) +4y=3157

7.25×500 - 7.25y +4y=3157

3625 - 7.25y +4y=3157

- 7.25y +4y=3157 -3625

-3.25y= -468

y= (-468)÷ (-3.25)

<u><em>y= 144</em></u>

Substituting this value in the expression x=500 - y you get:

x=500 - 144

<u><em>x=356</em></u>

Remembering that "x" is the amount of adult tickets sold and "y" is the amount of child tickets sold, you get that the amount of adult tickets sold is 356 and the amount of child tickets sold is 144.

Learn more about system of equations:

<u>brainly.com/question/14323743</u>

<u>brainly.com/question/1365672</u>

<u>brainly.com/question/20533585</u>

<u>brainly.com/question/20379472</u>

5 0
2 years ago
Consider the two savings plans below. Compare the balances in each year after 14 years. Which person deposited more money in the
zhuklara [117]

The balance in Yolanda's saving plan after 14 years is; $9,455.36

<h3>How to calculate future value?</h3>

We want to find the balance in Yolanda's saving plan after 14 years.

For Yolanda;

PV = 0

PMT = 250

i% = 4%/12 = 0.33%

N = 14 yrs * 12 = 168

FV = ?

For Zach:

PV = 0

PMT = $3300

i% = 4%

N = 14 yrs

FV = ?

From online future value calculator, we have;

Yolanda FV = $9,455.36

Zach FV = $47,204.19

Read more about Future Value at; brainly.com/question/24703884

#SPJ1

3 0
2 years ago
Solve the equation by completing the square.  ^x2- 12x = -28
Olegator [25]

x^2 -12 x = -28

(-12/2) ^ 2  =36

x^2 -12 x + 36 = -28 + 36

x^2 -12x + 36 = 8

(x-6)^2 = 8

take the square root of each side

x-6 = sqrt (8)    x-6 = -sqrt (8)  

you get a positive and a negative when taking                                                                 the square root

x= 6 + sqrt (8)  

x = 6 - sqrt (8)

sqrt (8) = 2 sqrt (2)

x= 6 + 2 sqrt (2)

x = 6 - 2 sqrt (2)

Answer:

x= 6 + 2 sqrt (2)

x = 6 - 2 sqrt (2)



3 0
3 years ago
Read 2 more answers
Which of the following represents "the square of the sum of a number and 4 is 36"?
Temka [501]
Lets write the information as an equation, and name x the number unknown:
(x + 4)^2 = 36
that is:
the sum of a number and 4: (x + 4)
then, the square of <span>the sum of a number and 4: (x + 4)^2
so we have:
</span>(x + 4)^2<span> = 36
</span>to solve we calculate square root to both sides of the equation:
(x + 4)<span> = 6
</span>then we solve for x:
x = 6 - 4
x = 2
so the unknown number is 2
6 0
3 years ago
Read 2 more answers
Pleas look at photo and answer!!
Ostrovityanka [42]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
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