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3 years ago

How can x-2/3=5/6 be solved for x in one step?

Mathematics

2 answers:

Lisa [10]3 years ago

6 0

x - 2/3 = 5/6

(3x - 2)/3 = 5/6

6*(3x - 2) = 5*3

18x - 12 = 15

18x = 15+12

18x = 27

x = 27/18

x = 3/2

REY [17]3 years ago

5 0

Answer:

Add $\frac{2}{3}$ to both sides.

Step-by-step explanation:

$x - \frac{2}{3} = \frac{5}{6}\\\\x - \frac{2}{3} + \frac{2}{3} = \frac{5}{6} + \frac{2}{3}\\\\x = \frac{3}{2}$

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Answer:

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3 years ago

The drama club needs a plywood box with these dimensions: 70 cm by 40 cm by 50 cm

jeka94

140,000 cm³ of plywood is needed to make the prop.

Explanation:

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3 years ago

Wally opened a savings account with a deposit of $100. He plans

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3 years ago

Read 2 more answers

A train leaves Miami at 3:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels

Anika [276]

Answer:

The first train travels at 58 mph and the second train travels at 203 mph.

Step-by-step explanation:

The first train left Miami at 3:00 PM.

The second train left Miami at 8:00 PM.

Let the speed of the first train be x.

The second train travels 145 mph faster than the first, that is 145 + x

The second train overtakes the first at 10:00 PM

This means that at 10:00 PM, they were both at the same location.

That is 7 hours after the first train left and 2 hours after the second train left.

Speed is given as:

s = d / t

where d = distance traveled and t = time taken

For the first train, after 7 hours traveling at speed x:

x = d / 7

=> d = 7x _______(1)

For the second train, after 2 hours, traveling at speed 145 + x:

145 + x= d / 2

=> d = 290 + 2x ____(2)

Equating (1) and (2):

7x = 290 + 2x

=> 7x - 2x = 290

5x = 290

=> x = 290/5 = 58 mph

Therefore, the first train travels at 58 mph and the second train travels at 203 mph (58 + 145)

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3 years ago