Step-by-step explanation:
Let x = m² and y = 4n.
Then m⁶ - 64n³ = x³ - y³
= (x - y)(x² + xy + y²)
= (m² - 4n)(m⁴ + 4m²n + 16n²).
Answer:
x = 7
Step-by-step explanation:
First expand the expression in the LHS. Then we get
5x - 20 = 3x - 6
5x - 3x - 20 = 3x - 3x - 6 subtract 3x from both sides.
2x -20 + 20 = 20 - 6 add 20 to both sides
2x = 14
2x/2 = 14/2 divide both sides by 2
x = 7
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Answer:
The volume of the steps is:
Step-by-step explanation:
Remember that the volume regularly is:
- Volume = height * width * depth.
There are many forms to solve this exercise, but I'll show you two:
1. Imagine that aren't steps but a big solid, then its volume would be:
- Volume of big solid = 60 cm * 60 cm * 120 cm
- Volume of big solid = 432000 cm3
Now you can subtract the volume of a small solid with measures 30 cm * 30 cm * 120 cm (<em>where is the blank for the step</em>):
- Volume of a small solid = 30 cm * 30 cm * 120 cm
- Volume of a small solid = 108000 cm3
Now you subtract:
- Volume of the building steps = 432000 cm3 - 108000 cm3
- <u>Volume of the building steps = 324000 cm3
</u>
2. The building steps are formed by three solid with volume 30 cm * 30 cm * 120 cm, so:
- Volume of the building steps = 3 (30 cm * 30 cm * 120 cm)
- <u>Volume of the building steps = 324000 cm3</u>
Answer: 4 bags
Step-by-step explanation: since the height of the wooden boxes are 1.5 feet tall and they need the box to be full it will be 4 bags. Also because each bag contains 1.5 feet of dirt and that’s the exact amount we need for one box.
Answer:
20
Step-by-step explanation: