When solving system equations, we can use substitution method or elimination. Today I'm using substitution method.
First name the 2 equations.
3x + y = 3 (1)
x + y = 2 (2)
Now pick one equation and express one algebra in forms of the other.
From (2),
x = 2 - y (3)
Now substitute (3) into (1),
3(2-y) + y = 3
6 - 3y + y = 3
6 - 2y = 3
6 - 3 = 2y
y = 1.5
Now substitute y = 1.5 into (2)
x + 1. 5 = 2
x = 2 - 1.5
x = 0.5
Therefore the answer is x = 0.5 and y = 1.5
Answer:
Option (4)
Step-by-step explanation:
Area of the figure given in the picture = Area of large rectangle - Area of rectangle A
Area of rectangle A = Length × Width
= [9 - (2 + 4)] × 3
= 3 × 3
= 9
Area of the large rectangle = Length × Width
= 9 × 5
= 45
Therefore, area of the given figure = 45 - 9
= 36
Option (4) will be the correct option.
For this case what you need to know is that the original volume of the cookie box is:
V = (w) * (l) * (h)
Where,
w: width
l: long
h: height.
We have then:
V = (w) * (l) * (h) = 48 in ^ 3
The volume of a similar box is:
V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
We rewrite:
V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
V = (w) * (l) * (h) * ((2/3) ^ 3)
V = 48 * ((2/3) ^ 3)
V = 14.22222222 in ^ 3
Answer:
the volume of a similar box that is smaller by a scale factor of 2/3 is:
V = 14.22222222 in ^ 3
Answer:
27 & 72
Step-by-step explanation:
3*24=72 and 3*9=27 so they are both divisible by 3 and also if you subtract 24 from 72 you get 45. get it now?
