Answer:
Step-by-step explanation:
=
12
x
3
−
40
x
2
+
42
x
−
20 Is your answer
Answer:
Answer:
The width is 4 units, and the length is 10 units.
Step-by-step.
Step-by-step explanation:
area of rectangle = length * width
Let L = length; let W = width.
"The length is 6 units greater than the width.": L = W + 6
area = LW = 40
Since L = W + 6, we substitute L with W + 6.
(W + 6)W = 40
W^2 + 6W = 40
W^2 + 6W - 40 = 0
(W - 4)(W + 10) = 0
W - 4 = 0 or W + 10 = 0
W = 4 or W = -10
A width cannot be a negative number, so we discard the solution W = -10.
W = 4
L = W + 6 = 4 + 6 = 10
The width is 4 units, and the length is 10 units.
<h3>
Answer: 16/33</h3>
It's in p/q form where p = 16 and q = 33.
=======================================================
Work Shown:
x = 0.484848.....
100x = 48.4848.....
I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out
100x - x = 99x
48.4848..... - 0.484848..... = 48
So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99
Divide both parts by the GCF 3 to fully reduce
48/3 = 16
99/3 = 33
Therefore, x = 48/99 = 16/33 = 0.484848...
I recommend using a calculator to confirm that 16/33 = 0.484848...
Side note: your calculator may round the last digit, but this is of course rounding error
Answer:
38minutes
Step-by-step explanation:
41-3=38
