Answer:
[you need 343 1 inch cubes]
Step-by-step explanation:
A foot has 12 inches. So if the edge length is 7/12 of a foot, that means that the edge length is 7 inches.
——————
[volume of a cube if the edge length is L, is L x L x L or L cubed]
A one inch cube has an edge length of 1. That means the volume of this cube is 1 x 1 x 1 = 1 inch cubed
——————
This big cube, has an edge length of 7 inches. So the volume is 7 x 7 x 7 = 343 inches cubed.
To find how many 1 inch cubes do you need to fill a 7 inch cube, you divide 343 by 1:
343/1=343 so you need 343 1 inch cubes.
Answer:
61 and -87
Step-by-step explanation:
If the numbers are x and x - 148, we can write the following equation:
x + x - 148 = -26
2x - 148 = -26
2x = 122
x = 61 so x - 148 = 61 - 148 = -87
Answer:
z (min) = 705
x₁ = 10
x₂ = 9
Step-by-step explanation:
Let´s call x₁ quantity of food I ( in ou ) and x₂ quantity of food II ( in ou)
units of vit. C units of vit.E Cholesterol by ou
x₁ 32 9 48
x₂ 16 18 25
Objective function z
z = 48*x₁ + 25*x₂ To minimize
Subject to:
1.-Total units of vit. C at least 464
32*x₁ + 16*x₂ ≥ 464
2.- Total units of vit. E at least 252
9*x₁ + 18*x₂ ≥ 252
3.- Quantity of ou per day
x₁ + x₂ ≤ 35
General constraints x₁ ≥ 0 x₂ ≥ 0
Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:
z (min) = 705
x₁ = 10
x₂ = 9
The domain of a function is where we have a value for x.
Since that's the case the domain of f(x) = {x e R / 1 ≤ x < 5}
We see that we have a value for x = 1 cuz we have a filled circle, but we don't have a value for x = 5, look at the unfilled circle
So, our x can vary between 1 and 5, but can't be 5.
