Answer:
48 cubes can be cut from the wooden cuboid
Step-by-step explanation:
Total calculate this, we will first of all find the volume of the cuboid, and the volume of the cubes to be cut, then divide the volumes to see how many cubes can be cut from the cuboid.
Volume of cuboid = 12 × 12 × 9 = 1296 cm
volumes of each cube to be cut = 3 × 3 × 3 = 27 cm
Next, we will divide the volume of cuboid by the volume of the cubes:
Number of cubes = Volume of cuboid ÷ volume of cubes
Number of cubes = 1296 ÷ 27 = 48 cubes
Therefore, 48 cubes of sides 3cm can be cut from the wooden cuboid
The LCD of 3 and 4 is 12. To make 4 into 12, we multiply it by three, so 3 would also have to be multiply by 3, turning 3/4 into 9/12.
The same thing applies to 1/3, only it needs to be multiplied by 4. So it would become 4/12
9/12 - 4/12 = 5/12
Since <A is congruent to <C , so triangle ABC is an isoceles triangle and side AB is congruent to BC.
AB = BC
Therefore, we can set up an equation as following:
10x - 7 = 2x + 33
10x - 7 - 2x = 2x + 33 -2x Subtracting 2x from each sides.
8x -7 = 33
8x - 7 + 7 = 33 + 7 Add 7 to each sides.
8x = 40
Divide each sides by 40.
So, x = 5
Answer: 8.7r
Step-by-step explanation:
Answer:
fifth option
Step-by-step explanation:
Given
- 2(x - 5) ≤ 6x + 18 ← distribute left side
- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )
- 8x + 10 ≤ 18 ( subtract 10 from both sides )
- 8x ≤ 8
Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus
x ≥ - 1