Answer:
x < 2
Step-by-step explanation:
Given
10x > 8(3x - 2) - 12 ← distribute parenthesis on right side
10x > 24x - 16 - 12, that is
10x > 24x - 28 ( subtract 24x from both sides )
- 14x > - 28
Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.
x < 2
Answer:
x = 14/3
Step-by-step explanation:
4(2x-3)+8(x-4)=2(2x+6)
Distribute
8x -12 +8x - 32 = 4x +12
Combine like terms
16x -44 = 4x+12
Subtract 4x
16x-4x -44 = 4x+12-4x
12x -44 =12
Add 44 to each side
12x-44+44 = 12+44
12x = 56
Divide each side by 12
12x/12 = 56/12
x = 14/3
The miles he traveled by plane is nine times greater than the miles traveled by automobile. If the total is 600 miles, then the total distance traveled by automobile would be 60 miles, making the total traveled by airplane 540 miles.
Answer:
The width of the rectangle is 14'8", and the length is 33'4"
Step-by-step explanation:
We're given two pieces of information:
The length is eight more than twice the width:
The perimeter is 96 feet:
We also need to apply one more piece of information that is not provided here, and that is the relationship between the perimeter of a rectangle, and it's length and width:
We can solve for w by plugging the other two values into the last:
Now we can find the length by plugging w into the first equation:
One third of a foot is four inches, so the width is 14'8" and the length is 33'4"
To make sure our answer is correct, we should plug those numbers back into the area equation and see if we're right:
So we know our answer's correct
Answer:
<h2><em>
4x³</em></h2>
Step-by-step explanation:
8x⁴y⁴ = 4×2×x³×x¹×y⁴ = 4x³×(2xy⁴)
12x³z² = 4×3×x³×z² = 4x³×(3z²)
Then the greatest common factor is of the two terms 8x⁴y⁴ and 12x³z² is:
4x³
