Answer:
x= negitive 6/8
Step-by-step explanation:
Ok think about it 1/4 plus 1/2 is 3/4
so how do i go to negitives?
you double the amount of it and then minus it
because 3/4- 3/4 would be zero
so you have to double it to get that answer
have a wonderful day filled with only joy!
Answer:
13, 21
Step-by-step explanation:
Add 8 to the next number from the left to the right.
Capacity is the maximum amount that something can contain
fluid ounces is how much something contains in ounces.
<span>Part I: Determining Dimensions
Arnold
has been given a 6 foot by 6 foot sheet of cardboard to make an open
box by cutting an equal size square from each corner, folding up the
resulting flaps, and taping at the corners. Your task is to label
dimensions on a sketch with the same size variable cut from each corner.
*You don't have to draw one, just explain what it would look like*
Answer:
Base of the box:
it is a square
side of the base = 6 foot - x - x. = 6 - 2x
Height of the box: x
Part II: Analyze
How does each variable expression relate to the length, width, and height of the box when folded?
Answer:
length = width = 6 - 2x
height = x
Part III: Extend your Findings
a. Based upon the variables you used in Part II, write a product for the volume.
Answer:
Volume = area of the base × height
Volume = (6 - 2x)² x
b. Expand the product to write a volume function.
Answer:
Volume = (36 - 24x + 4x²)x
Volume = 36x - 24x² + 4x³
c. What domain makes sense for the volume?
Answer:
Since x is a physical dimension x is greater than 0
Since the lenght of the cardboarc sheet is 6 and two squares are cut off, x has to be less than 3
So, the domain is (0, 3)
d. Guess and check values to find the size cut that produces a maximum volume.
*Six guesses are required*
Answer:
x </span>Volume = 36x - 24x² + 4x³
0.1 36(0.1) - 24(0.1)² + 4(0.1)³ = 3.36
0.5 36(0.5) - 24(0.5)² + 4(0.5)³ = 12.5
1.0 36 - 24 + 4 = 16
1.5 36(1.5) - 24(1.5)² + 4(1.5)³ = 13.5
2.0 36(2) - 24(2)² + 4(2)³ = 8
1.7 36(1.7) - 24(1.7)² + 4 (1.7)³ = 11.49
1.2 36(1.2) - 24(1.2)² + 4(1.2)³ = 15.55
Then you can guess that the maximum volume is pretty close to 16 and it is whenx is close to 1.
2.9
Answer:
Part A: x=3
Part B: 6oz
3x=18
Step-by-step explanation:
Part A-
So, he needs 3 oz for each sandwich.
This gives us 3 for the equation.
The question says that we need an equation for this.
If we need an equation, we could write something like
x=3
There's really not anything else that we could write here.
Part B-
We now have something that we need to write.
He has 18 oz for sandwiches.
Each sandwich needs 3 oz.
So, we can write something like 3x=18
Then we could solve the equation by dividing both sides by 3.
This will leave us with x=6
Hope this works!
