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myrzilka [38]
3 years ago
8

6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:

Mathematics
1 answer:
Masja [62]3 years ago
6 0
The first equation is 6x - 2y = 10. To solve for y, you will use inverse (opposite) operations to undo what is happening to y.  Please see the steps below for the work.

6x - 2y = 10
-6x          -6x
<u>-2y </u>= <u>(-6x + 10)</u>
-2            -2
y = 3x - 5
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May anyone help please
lapo4ka [179]

Depending on how flexibly you interpret "about 20 times larger" to mean, the answers are B and D.

Check the ratios of the larger number to the smaller number:

A: (2.01 x 10^7)/(4.25 x 10^6) = 2.01/4.25 x 10^1 = 20.1/4.25 = 4.729

B: (8.21 x 10^-3)/(4.13 x 10^-4) = 8.21/4.13 x 10^1 = 82.1/4.13 = 19.879

C: (4.91 x 10^6)/(5.09 x 10^3) = 4.91/5.09 x 10^3 = 4910/5.09 = 964.637

D: (5.97 x 10^4)/(3.12 x 10^3) = 5.97/3.12 x 10^1 = 59.7/3.12 = 19.135

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3 years ago
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lora16 [44]
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3 years ago
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Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 w
Keith_Richards [23]

Answer:

The minimum guaranteed mileage is  x = 71489.55

Step-by-step explanation:

From the question we are told that

   The mean is  \mu  =  67900

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Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

    P( X  \ge x ) =1-  P( \frac{X - \mu }{\sigma } < \frac{ x -  67900 }{ 2050}  ) = 0.04

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

     P( X  \ge x ) =1-  P( Z

=>  P( X  \ge x ) = P( Z

=>    z = \frac{ x -  67900 }{ 2050}

From the z table, the critical value corresponding to 0.96 to the left of the curve is  

         z = 1.751

So

        1.751 = \frac{ x -  67900 }{ 2050}

=>     x = 71489.55

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Helen [10]
A right angle is an angle with a measure of 90 degrees.
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