Answer:
2x + y = 2.
Step-by-step explanation:
First find the slope of the required line by writing the line 2x + y = -5 in slope intercept form:
2x + y = -5
y = -2x - 5
- so the slope is -2.
Therefore the required equation is
y = -2x + 2 (where 2 is the y-intercept).
Converting to standard form:
y = -2x + 2
2x + y = 2.
Answer:
89
Step-by-step explanation:
Given that,
During a promotional weekend, a state fair gives a free admission to every 179th person that enters the fair.
No of people attending the fair on Saturday is 8,633 amd No of people attending the fair on Sunday is 7,400.
We need to find the no of people that received a free admission over the two days.
Dividing 8,633 by 179 gives 48 as quotient and 41 as remainder. It means on Saturday 48 people entered for free.
Dividing 7,400 by 179 gives 41 as quotient and 61 as remainder. It means on Sunday 41 people entered for free.
Total no of people,
T = 48 + 41
T = 89
Hence, there are 89 people for free entries.
Answer:
The volume of a right circular cone is 
.
Step-by-step explanation:
The circumference of the base of a right circular cone is 125.6 ft.
Height of cone is 75 ft.
Circumference of base is :
, r is radius
The volume of a cone is given by :
So, the volume of a right circular cone is .
Answer:
Se almacena un cuaderno por caja, significando 120 cuadernos en 120 cajas iguales.
Step-by-step explanation:
A partir del enunciado, podemos calcular el número de cuadernos por caja al dividir el total de cuadernos en la carretilla por el número de cajas disponibles.
Se almacena un cuaderno por caja, significando 120 cuadernos en 120 cajas iguales.
Answer:
f(x) = 8(1/2)^x.
Step-by-step explanation:
According to the graph, there is a point at (0, 8) and (1, 4).
That means that when x = 0, y = 8.
8 = a(b)^0
1a = 8
a = 8
That means that a = 8, and when x = 1, y = 4.
4 = 8(b)^1
4 = 8b
8b = 4
b = 4/8
b = 1/2
So, f(x) = 8(1/2)^x.
Hope this helps!
