Answer:
no
Step-by-step explanation:
4x -3 = 16
x=19/4
4(x-3) = 16: Distribute the number in the parenthesis with 4 and you get:
4x-12=16
x=7
4x-12=16 is not the same as 4x-3=16
Therefore they do not have the same solution.
Answer:
24 cubes
Step-by-step explanation:
You can figure this a couple of ways.
I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.
The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.
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Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.
Prism volume = l×w×h = (2 cm)(1 cm)(3/2 cm) = 3 cm³
Cube volume = (1/2 cm)³ = 1/8 cm³
Then the number of cubes that will fit in the prism is ...
(3 cm³)/(1/8 cm³) = 3×8 = 24 . . . . cubes
Answer:
8,567
Step-by-step explanation:
Given the cost function expressed as C(x)=0.7x^2- 462 x + 84,797
To get the minimum vaklue of the function, we need to get the value of x first.
At minimum value, x = -b/2a
From the equation, a = 0.7 and b = -462
x = -(-462)/2(0.7)
x = 462/1.4
x = 330
To get the minimum cost function, we will substitute x = 330 into the function C(x)
C(x)=0.7x^2- 462 x + 84,797
C(330)=0.7(330)^2- 462 (330)+ 84,797
C(330)= 76230- 152460+ 84,797
C(330) = 8,567
Hence the minimum unit cost is 8,567
