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Helga [31]
2 years ago
14

Los boletos de entrada a un juego de baloncesto para 2 adultos y 3 niños cuestan $67 y para 3 adultos y 2 niños $78. ¿Cuál es el

precio del boleto del adulto?
Mathematics
1 answer:
kap26 [50]2 years ago
3 0

The price of the adult ticket to a basketball game is $20.

<h3>System of Linear Equations</h3>

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

  • STEP 1 - Convert the text of problem in system of equations

                     2a+3n=67

                    3a+2n=78

where: a= adultos and n =niños

  • STEP 2 - Find the variables a and n.

                                 \begin{bmatrix}2a+3n=67\;\; equation1\\\ 3a+2n=78\;\; equation2\end{bmatrix}\\ \\ \\ \begin{bmatrix}2a+3n=67\; *(-3)\\ 3a+2n=78\; *(2)\end{bmatrix}\\ \\ \\ \begin{bmatrix}-6a-9n=-201\\ 6a+4n=156\end{bmatrix}\\ \\ \\ Sum\; of\; equations\\ \\ -6a-9n+6a+4n=-201+156\\ -9n+4n=-201+156\\ -5n=-45\\ n=\frac{-45}{-5} =9\\\\\\  Replacing\; n\; in\; equation 1\\\\2a+3*9=67\\ 2a+27=67\\ 2a=67-27\\ 2a=40\\ a=20

Thus, a=20 and n=9.

Learn more about the system of equations here:

brainly.com/question/384631

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In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
yarga [219]

Answer:

Step-by-step explanation:

can you show a picture?

5 0
3 years ago
Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

8 0
2 years ago
What is the answer - 2x² +5X-370​
Dahasolnce [82]

Answer: x=41,1

Step-by-step explanation:

- 2x² +5X-370​

4x+5x-370

9x-370=0

x = <u>370</u>

       9

x=41,1

3 0
4 years ago
633 divided by 3 long division pls I'm doing a test 5th grade kk​
solong [7]

hi!!

here is your answer

Answer:

221

Step-by-step explanation:

when you divide 633 by 3, you will get 211

hope it helps you ❤❤❤

3 0
3 years ago
Find the coordinates of P so that P partitions AB in the ratio 3:4 with A(-9,-9) and B(5,-2).
ivolga24 [154]

The coordinates of point P are (-3 , -6)

Step-by-step explanation:

If point (x , y) partitions line AB where A = (x_{1},y_{1}) and B = (x_{2},y_{2})

at a ratio m_{1}:m_{2} from A then:

1. x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}

2. y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

∵ P partitions AB in the ratio 3 : 4

∴ m_{1}:m_{2} = 3 : 4

∵ A = (-9 , -9) and B = (5 , -2)

- Substitute the coordinates of points A and B in the rules above

∵ x=\frac{(-9)(4)+(5)(3)}{3+4}

∴ x=\frac{-36+15}{7}

∴ x=\frac{-21}{7}

∴ x = -3

The x-coordinate of P is -3

∵ y=\frac{(-9)(4)+(-2)(3)}{3+4}

∴ y=\frac{-36+(-6)}{7}

∴ y=\frac{-42}{7}

∴ y = -6

The y-coordinate of P is -6

The coordinates of point P are (-3 , -6)

Learn more:

You can learn more about the mid-point of a segment in brainly.com/question/5223123

#LearnwithBrainly

5 0
4 years ago
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