Let x denote the count of $5 bills and y signify the count of $10 bills. It can be stated that "the number of $10 bills is twice the number of $5 bills." Thus, y is 2 times x. We can formulate an equation, y = 2x (equation 1). The total value of all bills amounts to $125, allowing us to create another equation: 5*(number of $5 bills) + 10*(number of $10 bills) = 125. That leads to the equation 5(x) + 10(y) = 125 (equation 2). By substituting y = 2x into equation 2, we get 5(x) + 10(2x) = 125. This simplifies to 5x + 20x = 125. Combining like terms yields 25x = 125. Dividing both sides by 25 results in x = 5. By substituting x = 5 in the first equation, we find y = 2(5) = 10. Consequently, there are 5 $5 bills and 10 $10 bills.
The equivalent ratio is 3/4.
Utilizing the Law of Sines (sinA/a=sinB/b=sinC/c) and recognizing that the angles in a triangle add up to 180°.
The angle C calculates to 180-53-17=110°
Thus, we have 27/sin53=b/sin17=c/sin110
This leads to b=27sin17/sin53, c=27sin110/sin53
The perimeter is defined as a+b+c, so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (rounded to the nearest hundredth of a unit)
To calculate, simply multiply 12 by 0.15 or 15%, which equals 1.8. Then subtract 1.8 from 12, yielding $10.20 as the discounted price for the pizza.
I hope this is helpful
Response:
la respuesta está abajo
Explicación paso a paso:
Debemos encontrar la ecuación para poder graficar.
De acuerdo a la afirmación, la ecuación sería:
E = v * t - Ei
Siendo Ei (20) la elevación inicial, t el tiempo transcurrido y la velocidad de 4, realizamos la sustitución y obtenemos:
E = 4 * t - 20
A continuación, debemos calcular los valores correspondientes:
E (0) = 4 * 0 - 20 = -20
E (1) = 4 * 1 - 20 = -16
E (2) = 4 * 2 - 20 = -12
E (3) = 4 * 3 - 20 = -8
E (4) = 4 * 4 - 20 = -4
E (5) = 4 * 5 - 20 = 0
Si graficamos, tendríamos la imagen anexa:
