Answer:
5.848 in
Step-by-step explanation:
Divide the piece of cardboard into nine equal squares of side z.
The centre square is the base of the cube.
When you cut out the corner squares and fold up the sides, you will have a cube with edge length z.
The cube must have a volume of 200 in³.
V = z³
200 = z³
![z = \sqrt[3]{200}](https://tex.z-dn.net/?f=z%20%3D%20%5Csqrt%5B3%5D%7B200%7D)
![z = \sqrt[3]{8\times25}](https://tex.z-dn.net/?f=z%20%3D%20%5Csqrt%5B3%5D%7B8%5Ctimes25%7D)
![z = 2\sqrt[3]{25}](https://tex.z-dn.net/?f=z%20%3D%202%5Csqrt%5B3%5D%7B25%7D)
z = 2 × 2.924
z = 5.848 in
The edge length of the cube is 5.848 in.
Answer: a= 1 b= -4 x = 2 f(2)= -9 the x intercepts are 5,0 and -1, 0 f(o) = -5
Step-by-step explanation:
That is slope intercept form.
That is slope intercept form. Slope intercept form is y = m + b. M is slope and b is the y intercept. It can also have a negative sign in front of either one just not y. Y has to be by itself.
Answer:
boxes
Step-by-step explanation:
Given that pens received from the parents' society
boxes.
Pens received from the Student Society
boxes.
Pens received as gift boxes
boxes.
So, the total number of boxes of pens received
boxes

Hence, the total number of boxes of pens received
boxes.
As for this problem, it is needed to come up with an equation to represent the situation.
In this case, the simplest one would be this:
x + y = 38
Let us establish that we need to solve for x first to get the y (no matter which you solve first, you get the second one by using the first one)
To do this, we substitute y with this equation:
x + 2 = y
Then, substitute y with the equation. It should look like this:
x + (x + 2) = 38
Now all you have to do is solve.
2x = 36
----------
2
x = 18
Then get they value of y
x + 2 = y
18 +2 = y
20 = y
So the answer for the ages of the daughters would be 18 and 20.
NOTE:
you can also use the equation
x - 2 = y instead of x + 2 = y
This will give you a value of 20 for x instead of 18 and 18 for y instead of 20. Either way, 18 and 20 will be the answer.