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cricket20 [7]
2 years ago
7

If ce = 7x+4, find the value of x

Mathematics
2 answers:
Alex787 [66]2 years ago
7 0

Hey there,

To find the value of x we can take the two, CD or DE and set them equal to CE.

First step is set the lines equal to each other:

  • x + 3 + 8x - 9 = 7x + 4

Now we combine like terms:

  • 9x - 6 = 7x + 4

Then we subtract 7x from both sides:

  • 2x - 6 = 4

Add 6 to both sides:

  • 2x = 10

Lastly we divide both sides by 2:

  • x = 5

So the value of x would have to be 5.  

Hope I helped,

Amna

garik1379 [7]2 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

CE is the whole line, so that means we are going to set the other two lengths equal to it; CE = CD + DE or 7x+4 = (x+3) + (8x-9)

The first thing we are going to do is combine like-terms;

7x+4 = (x+8x) + (3-9)

Now we have;

7x+4 = 9x-6

From here you isolate x by putting all x-values on one side;

10=2x

Now simplify;

5=x

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1 year ago
Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.
ZanzabumX [31]

Answer:

a) 22.94 psi

b) 5.93\times10^{-5}

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a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}

where x = 22.94, \mu = 31, \sigma = 2

f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}

f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}

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2 years ago
Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
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Given:

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When would automatic payments make the value of the account zero?

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On dividing the amount by monthly payment, we get

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It means, the amount is sufficient for 4 payment but for the 5th payment the amount is not sufficient.

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2 years ago
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aka 5×5×5=125

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