9514 1404 393
Answer:
the correct answer is marked
Step-by-step explanation:
You want k in the equation ...
scholars = k × teachers
Dividing by teachers, we get ...
k = scholars/teachers = 75/3 = 25
The constant of proportionality is 25.
C = -5/3 = -1 2/3
Write down the equation and solve for c
-3 - 3/4(c-4) = 5/4
Distribute the 3/4
-3 -(3/4)c + 3 = 5/4
Perform the addition of -3 and 3
-(3/4)c = 5/4
Divide both sides by -(3/4)
c = 5/4 / (-3/4) = 5/4 * (-4/3) = -20/12 = -5/3
So the value of c is -5/3. Let's verify it.
-3 - 3/4(-5/3 - 4) = x
Distribute the -3/4
-3 - (3/4)(-5/3) + (3/4)4 = x
-3 +15/12 + 3 = x
Combine terms
15/12 = x
Simplify
5/4 = x
Explicación paso a paso:
La distancia recorrida el primer día = 500 m
Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;
500, (500 + 200), (500 + 200 + 200) ... 10,000
500, 700, 900 ... 10,000
para que sepamos el número total de días usados para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;
where;
n es el número de términos
a es el primer término de la secuencia
d es la diferencia común
Dado a partir de la secuencia:
a = 500
Tn = 10,000
d = 700-500 = 900-700 = 200
Sustituir en la fórmula y calcular el valor de n
Andrea habría alcanzado los 10.000km tras 48,5 días de carrera
Answer:
Let x = the number of lbs of Type A coffee.
We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.
Total lbs of coffee = x + 3x
The total cost then is:
($ cost for Type A)(x) + ($ cost for Type B)(3x) = $717.60
$5.65x + $4.25(3x) = $717.60
$5.65x + $12.75x = $717.60
$18.40x = $717.60
x = 39 lbs
Answer: I believe the answer is (2) 49
Explanation: The given ratio is 5:245
When simplified(245/5), it gives you 1:49!
