Answer:
a) 17, 29, 41, 53, 65....
b) 12n + 5
Answer:
Al comienzo Juana tiene 28 libras de azúcar.
Ella hace 6 paquetes de 2.5kg cada paquete.
Entonces, entre los 6 paquetes, hay:
6*2.5kg = 15kg de azúcar.
Ahora el problema es que tenemos dos unidades distintas, kilogramos y libras.
Aca podemos usar la relación:
1k = 2.2lb.
Entonces 15kg de azúcar son 15 veces 2.2 libras:
15kg = 15*2.2lb = 33lb.
Esto nos da mas de lo que hay originalmente en el costal.
Ahora si lo pensamos como:
Solo vendió 5 paquetes de 2.5kg, entonces el sobrante queda en el costal inicial:
5*2.5kg = 12.5kg
De vuelta, 1kg = 2.2lb
12.5kg = 12.5*2.2lb = 27.5lb
En este caso hay un sobrante de:
28lb - 27.5lb = 0.5lb
Answer:
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Answer:
Step-by-step explanation:
Let x = width in ft
y= length in ft
Given, y = 3+2x ----(1)
Area = xy = 77 ft2
Using (1) to replace y
3x+2x2=77
2x2+3x-77=0
Solve this quadratic equation, a=2, b=3, c=-77
x=(-3(+or-)sqrt(32-4*2*(-77)))/(2*2)
= (-3 (+ or -) sqrt(9+616))/4
= (-3 (+ or -) sqrt(625))/4
= (-3 (+ or -) 25)/4
x = (-3+25)/4 or x = (-3-25)/4
= 22/4 = -28/4
x = 5.5 x = -7
x is the length and can't be negative. so, proceed with x= 5.5
xy = 77
y = 77/5.5 = 14
Dimensions of the rectangle are 5.5ft and 14 ft
(Check: 2* 5.5 + 3 = 11+3 = 14)
<h3>
Answer: -3/2</h3>
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Work Shown:
Rise = -3
Run = 2
Slope = rise/run = -3/2 = -1.5
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Notes:
- The rise and run correspond to the vertical and horizontal portions of the triangle shown
- The rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative.
- The run is always positive.