Answer:
Greg's savings: 19 x 1
Step-by-step explanation:
57 / 3 = 19
19 is prime, so Greg's savings has to be 19 x 1.
Answer:
45, 000 J o 45 KJ
Step-by-step explanation:
Recordemos que trabajo realizado = fuerza * distancia
En este caso, fuerza = peso del objeto
Por lo tanto, peso del objeto = 180 Kg * 10ms ^ 2 = 1800 N
Por eso;
Trabajo realizado = 1800 N * 25 m = 45, 000 J o 45 KJ
Answer:
You can have a cube with sides that mesure 2cmx2cm or a rectangle 1cmx4cm.
Step-by-step explanation:
Solid paper costs 1.75 each
Printed paper costs 2.50 each
Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50
Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8
Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108
Y= 2.50
x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8
X = 1.75
To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50
Hope that helps! Have a good day :)
Answer:
156.5
Step-by-step explanation:
Thinking process:
The area can be calculated using the formula:

We let the substitution take place.
Therefore, we let 
Thus, 
So,

Also, the interval of the integration changes to [ 37, 65]
Thus,

= 
= 156.5 units²