Answer:
- x = 10
- B. 3/7
Step-by-step explanation:
1. (x - 2)/ 4 - (3x + 5)/7 = - 3
7(x -2) -4(3x +5) = -84 . . . . . . . multiply by 28
7x -14 -12x -20 = -84 . . . . . . . . eliminate parentheses
-5x -34 = -84 . . . . . . . . . . . . . . collect terms
-5x = -50 . . . . . . . . add 34
x = 10 . . . . . . . . . . . divide by -5
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2. 1/(1 + 1/(1 - 1/x)) = 4
1 = 4(1 +1/(1 -1/x)) . . . . multiply by the denominator
-3 = 4/(1 -1/x) . . . . . . . eliminate outer parentheses, subtract 4
-3(1 -1/x) = 4 . . . . . . . multiply by the denominator
-3 +3/x = 4 . . . . . . . . eliminate parentheses
3/x = 7 . . . . . . . . . . . add 3
x = 3/7 . . . . . . . . . . . multiply by x/7
9.39 and you don’t add the 66 at the end
assuming is square root of 55:
You can solve the square root and roound to the nearest number:
√55 = 7.41
Since the number after the decimal point is 4, the square root is closest to 7 than to 5.
You can also campare √55 with closest integers that are perfect square:
below 55, the closest perfect square is 49 = 7^2
above 55, the closest perfect square is 64 =8^2
55-49 = 6
64-55 = 10
Since 49 is closest to 55, it's square root is the nearest. (7)
Answer: g < 1 3/5
Step-by-step explanation:
first, i removed the parentheses.
19 > 2g + 15.8
then, i moved the terms.
-2g > 15.8 - 19
the, i calculated that.
-2g > -3.2
finally, i divided both sides.
g < 1.6
the alternative form is g < 1 3/5
(basically, the second answer)
