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3 years ago

Solve the equation 5x-(2x-13)=40

Mathematics

2 answers:

Leokris [45]3 years ago

6 0

Answer:

Step-by-step explanation:

open the bracket, you will have

5x-2x+13=40

collect like terms

5x-2x=40-13

3x=27

divide both side by 3

3x/3=27/3

x=9

leva [86]3 years ago

4 0

Answer: 9

Step-by-step explanation:

5x-(2x-13)=40

Open bracket by -1

5x-2x+13. = 40

3x. = 40-13

3x. =. 27

Divide both sides by 3

x. = 27/3.

x. = 9

PLEASE IF YOU HAVE ANY MORE QUESTIONS PLEASE COMMENT BELOW.

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3 years ago

If 5\9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank?

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2 years ago

Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$