Answer:
<h2><u><em>
16 cm </em></u></h2>
Step-by-step explanation:
The volume of a cube can be found using the equation V=s^3 where s represents the length of the sides of the cube. if a cube has volume 4096 cubic centimeters, what is the length of each side of the cube?
you use the inverse formula
s = ∛V
s = ∛4096
s = 16 cm
-------------------------
check
16 × 16 × 16 = 4096 cm³
The answer is good
Start by assigning a variable name to the "number" -- call it x.
Now write out what they say:
"The product of 1/3 and the sum of a number and 3" -- that's 1/3 times x + 3, or (1/3)(x + 3) or (x + 3) / 3
It's "between negative one and five"
So that means:
-1 < (x + 3) / 3 < 5
So now solve this inequality. First multiply everything by 3.
-3 < x + 3 < 15
Subtract 3 from all the terms:
-6 < x < 12
So the answer is, all numbers between -6 and 12
Answer:

Step-by-step explanation:
Given


Required
Determine the amount paid
This is calculated as:



Answer:
12:7
Step-by-step explanation:
you want to set the fractions equal in the denominators:
4/5 x 3= 12/15
you end up with the ratio between 12/15 and 7/15 and you'd get 12 to 7
Answer:
80 units²
Step-by-step explanation:
Given <u>vertices</u> of a rectangle:
- A = (-8, 5)
- B = (2, 5)
- C = (2, -3)
- D = (-8, -3)
As points A and D share the <u>same x-coordinate</u>, and points B and C share the <u>same x-coordinate</u>, the difference between the different <u>x-coordinates</u> is the length of the rectangle:

As points A and B share the <u>same y-coordinate</u>, and points C and D share the <u>same y-coordinate</u>, the difference between the different <u>y-coordinates</u> is the width of the rectangle:

Therefore:
