This work is faster rate than grading 36 assignments in 30 minutes because :
25 ÷ 20 = 1.25
1.25 hw assignment per minute
36 ÷ 30 = 1.2
1.2 hw assignments per minute
Megan:
x to the one third power =
<span>x to the one twelfth power = </span>
<span>The quantity of x to the one third power, over x to the one twelfth power is:
</span>
<span>
Since </span>
then
Now, just subtract exponents:
1/3 - 1/12 = 4/12 - 1/12 = 3/12 = 1/4
Julie:
x times x to the second times x to the fifth = x * x² * x⁵
<span>The thirty second root of the quantity of x times x to the second times x to the fifth is
</span>
<span>
Since </span>
Then
Since
Then
Since both Megan and Julie got the same result, it can be concluded that their expressions are equivalent.
Answer:
A. 0.7 x 80
Step-by-step explanation:
At the beginning of the month, there is 100% remaining of the peanut butter. 100% = 80 oz. After eating 30%, that's 100%-30%=70%. 70%=0.7
Answer:
<h2>
first piece: 5 in</h2><h2>
second piece: 10 in</h2><h2>
third piece: 32 in </h2>
Step-by-step explanation:
x - the length of the <u>first piec</u>e
2x - twice the length of the first piece (the length of the <u>second piece</u>)
6x - six times the length of the first piece
two inches more:
6x+2 - the length of the <u>third piec</u>e
first + second + third = 47 in {total length of the pieces of steel}
x + 2x + 6x + 2 = 47
9x + 2 = 47
9x = 45
x = 45:9
x = 5 in
first piece: 5 in
second piece: 2×5 = 10 in
third piece: 6×5 + 2 = 30 + 2 = 32 in