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Veronika [31]
3 years ago
10

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.

If a player answered 40 questions and obtained a score of 50 how many questions did the player answer correctly?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

Answer: the player answered 30 questions correctly.

Step-by-step explanation:

Let x represent the number of questions that the player answered correctly.

Let y represent the number of questions that the player answered incorrectly.

The number of questions that the player answered is 40. It means that

x + y = 40- - - - - - - - - - -1

The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that

2x - y = 50

y = 2x - 50

Substituting y = 2x - 50 into equation 1, it becomes

x + 2x - 50 = 40

3x - 50 = 40

3x = 40 + 50 = 90

x = 90/3

x = 30

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Tienes un triángulo equilátero con lados de 10cm, lo divides en dos partes de manera horizontal tal que el área de ambos figuras
Tanya [424]

Answer:

x = 10/√2 ≈ 7.07

Step-by-step explanation:

Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.

Aplicando el teorema de Tales, sabemos que:

\dfrac{l/2}{H}=\dfrac{x/2}{h}\\\\\\\dfrac{l}{H}=\dfrac{x}{h}

También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:

\dfrac{A}{A_x}=\dfrac{lH/2}{xh/2}=\dfrac{lH}{xh}=2

Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:

(l/2)^2+H^2=l^2\\\\H^2=l^2-(l/2)^2=10^2-5^2=100-25=75\\\\H^2=\sqrt{75}

Podemos entonces despejar x de la siguiente manera:

h=\dfrac{H}{l}\cdot x=\dfrac{lH}{2x}\\\\\\2x^2\dfrac{H}{l}=lH\\\\\\2x^2=l^2\\\\\\x=\dfrac{l}{\sqrt{2}}=\dfrac{10}{\sqrt{2}}\approx7.07

6 0
3 years ago
-5/4x+2/5=-13/30. What is the solution to ths equation
uysha [10]
2/3 is the answer to this problem.
8 0
3 years ago
Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where,

"h" and "k"are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

(x^2-1)+(y^2-(-2))=16

Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0
3 years ago
Pls help!! im timed :((((
Mamont248 [21]

Answer:

I believe 0 makes it not a function

Step-by-step explanation:

3 0
3 years ago
Mr. Vectadore is buying two new cowboy hats. All together the hats costs $75.12. The second hat costs twice as much as the first
hodyreva [135]
We use x to represent the price of the cheapest hat. Since the more expensive hat is twice the price of the cheaper one, we use 2x to represent it. Therefore x + 2x, or 3x, equals $75.12. Divide 75.12 by 3 to find x, which is 25.04. The more expensive hat is 2x, so we must multiply 25.04 by 2 to find the price of the more expensive hat. Therefore, the cost is $50.08. 
7 0
3 years ago
Read 2 more answers
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