Answer:
x = 3/2 or 1.5
Step-by-step explanation:
6 - 2x = 3
(You have to subtract 6 on both sides so it can cancel out)
6 - 6 - 2x = 3 - 6
-2x = -3
(Now, you divide -2 on both sides to isolate the x)
-2/(-2)x = -3/(-2)
x = 3/2
The work done in pushing the box is 64000 lb-ft²/s²
<h3>How to calculate the work done by the person?</h3>
Since person pushing a 40 pound box up an incline that is 30 degrees above the horizontal and 100 feet long, the work done, W is
W = mgh where
- m = mass of box = 40 lb,
- g = acceleration due to gravity = 32 ft/s² and
- h = height of incline = LsinФ where
- L = length of incline = 100 ft and
- Ф = angle of incline = 30°
So, W = mgh
W = mgLsinФ
So, substituting the values of the variables into the equation, we have
W = mgLsinФ
W = 40 lb × 32 ft/s² × 100 ftsin30°
W = 1280 lb-ft/s² × 100 ft × 0.5
W = 1280 lb-ft/s² × 50 ft
W = 64000 lb-ft²/s²
So, the work done in pushing the box is 64000 lb-ft²/s²
Learn more about work done here:
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The number is 3 because 3 multiplied by itself (3) is equal to 9.
Answer:
A.) 13
Step-by-step explanation:
Since DB =36, and AC is the same line, then AC = 36. The new equation is 36 = 3x - 3. Do inverse operation. Add 3 to both sides of the equation: 36+3=39 & -3+3=0. New equation is 39=3x. Finally divide. 39/3= 13.
Answer:
The total number of pants in Mary's closet = 15
Step-by-step explanation:
Here, given:
40% of slacks in her closet = 6 pairs
Let us assume the total pants in her closet = m
So, according to the given data:
40% of m = 6 pairs
⇒ m = 15
Hence the total number fo pants in her closet = 15
