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amm1812
3 years ago
14

How do i solve this equation for x? 6e^2x=7e^4x

Mathematics
1 answer:
AlekseyPX3 years ago
5 0
Divide by e^2x to get 6 = 7e^2x. Then take the natural log of both sides so you now have ln6 = ln7e^2x. Use laws of logs to make this ln6=2xln7e. Rearrange for x to get x=(ln6)/(2ln7e) and plug it into your calculator.
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3 years ago
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Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the
Ratling [72]

Answer:

25 and 21 hours respectively

Step-by-step explanation:

Let the number of hours worked by each welder be x and y respectively.

They worked a total of 46 hours. This means :

x + y = 46 hours.......(I)

Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

34x + 39y = 1669........(ii)

We then solve both simultaneously. From I, x = 46 -y

We can substitute this into ii

34(46 -y) + 39y = 1669

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5y = 1669 - 1564

5y = 105

y = 105/5 = 21

x = 46 - y

x = 46 - 21 = 25 hours

The numbers of hours worked by the welders are 25 and 21 respectively

4 0
3 years ago
The interior angles of a triangle have measures (2x - 5), (4– 1), and 30°
const2013 [10]

Answer: x=26

Step-by-step explanation:

1. Write the equation 2x-5+4x-1+30=180 because all triangle angles add up to 180°

2. Simplify the equation by combining like terms. Write the equation as 6x+24=180

3. Subtract 24 from both sides. Write the equation as 6x=156.

4. Divide 156/6 and get 26. That is your answer (x=26).

8 0
3 years ago
G = 1, h = 2<br><br> 7 + g − 8 + 2h + 4g
Slav-nsk [51]

Answer:

7+1-8+2(2)+4(1)

= -1+4+4

=7

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2 years ago
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3 years ago
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