Answer:
Abiodun gets - <u>415 naira</u>
Taiwo gets -<u> 320 naira</u>
Step-by-step explanation:
Let us consider x and y as Abiodun and Taiwo,
Therefore , acccording to the question , equation formed will be -
naira ------ 1
and
------2
From equation 1 and 2, we get
naira (that is Abiodun share)
now , Calculating Taiwo share from equation 1
y = 320 naira (that is Taiwo share )
Therefore , Share of Abiodun = 415 naira
Share of Taiwo = 320 naira
Part I
We have the size of the sheet of cardboard and we'll use the variable "x" to represent the length of the cuts. For any given cut, the available distance is reduced by twice the length of the cut. So we can create the following equations for length, width, and height.
width: w = 12 - 2x
length: l = 18 - 2x
height: h = x
Part II
v = l * w * h
v = (18 - 2x)(12 - 2x)x
v = (216 - 36x - 24x + 4x^2)x
v = (216 - 60x + 4x^2)x
v = 216x - 60x^2 + 4x^3
v = 4x^3 - 60x^2 + 216x
Part III
The length of the cut has to be greater than 0 and less than half the length of the smallest dimension of the cardboard (after all, there has to be something left over after cutting out the corners). So 0 < x < 6
Let's try to figure out an x that gives a volume of 224 in^3. Since this is high school math, it's unlikely that you've been taught how to handle cubic equations, so let's instead look at integer values of x. If we use a value of 1, we get a volume of:
v = 4x^3 - 60x^2 + 216x
v = 4*1^3 - 60*1^2 + 216*1
v = 4*1 - 60*1 + 216
v = 4 - 60 + 216
v = 160
Too small, so let's try 2.
v = 4x^3 - 60x^2 + 216x
v = 4*2^3 - 60*2^2 + 216*2
v = 4*8 - 60*4 + 216*2
v = 32 - 240 + 432
v = 224
And that's the desired volume.
So let's choose a value of x=2.
Reason?
It meets the inequality of 0 < x < 6 and it also gives the desired volume of 224 cubic inches.
Answer:
x ≥ $40
Step-by-step explanation:
Jackie didn't spend more than $40 on a video.
x ≥ $40
Using a graphical tool we obtain that the solution of this system
(intersection between the lines)
is given by the point
(x,y) = (2,4)
Answer:
Fractions equivalent to 1/4 are 2/8, 3/12, 4/16, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40.
those are the ones i know so far
