Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.
Rewriting the four given numbers to the LCD, you would get:
10/20, 15/20, 4/20, and 14/20.
Now, you just organize it from least to greatest as:
4/20 < 10/20 < 14/20 < 15/20.
In other words, it is:
1/5 < 1/2 < 7/10 < 3/4.
Answer:
x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3
Step-by-step explanation:
Solve for x over the real numbers:
(9 x - 4)^2 = 18
Take the square root of both sides:
9 x - 4 = 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)
Add 4 to both sides:
9 x = 4 + 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)
Divide both sides by 9:
x = 4/9 + sqrt(2)/3 or 9 x - 4 = -3 sqrt(2)
Add 4 to both sides:
x = 4/9 + sqrt(2)/3 or 9 x = 4 - 3 sqrt(2)
Divide both sides by 9:
Answer: x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3
The total distance that Dominik will have to walk is the sum of the length of the escalator and the distance that the escalator has traveled. Let t be the time it will take him to reach the top of the escalator. The equation that best models the situation is,
225 ft + (82 ft/min) x t = (106 ft/min) x t
The value of t is 9.375 minutes.
Divide the lengths to find the scale :
35/7 = 5
Now divide the width by the scale to get the scaled width:
30/5 = 6 inches
the scaled drawing is 7 x 6
area of scaled drawing = 7 x 6 = 42 square inches
G + 2 - 2 (g - 16) > 0
g + 2 - 2g + 32 > 0
-g + 34 > 0
g < 34
