Answer: 25%
Step-by-step explanation: So first make the number of people who ran the marathon and the number of people who finished the marathon into a ratio
1200:4800
then make that into a fraction, 1200/4800
then make the percent of people who reached the marathon into a fraction, using 100 as the denominator and a variable as the numerator.
for example. p/100 (p, represents the percent)
then cross multiply.
1200x100=1200000
Last divide 1200000 by 4800 to get 25%.
First, write the mixed number as a sum of a whole number and a proper fraction. Then write the two parts with common denominator , and add. Once you're used to this, you can use a shortcut method: 1) Multiply the whole part by the denominator of the fractional part, and add the numerator of the fractional part.
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
9514 1404 393
Answer:
(x, y) = (-5, -6)
Step-by-step explanation:
The coefficients of y are the same, so we can eliminate y by subtracting one equation from the other. Here, we choose to subtract the first from the second, so that the coefficient of x ends up positive.
(-5x +5y) -(-6x +5y) = (-5) -(0)
x = -5 . . . . . . simplify
-6(-5) +5y = 0 . . . . . . substitute x into the first equation
6 +y = 0 . . . . . . . . . . divide by 5
y = -6 . . . . . . subtract 6
The solution to the system of equations is (x, y) = (-5, -6).
