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Nataly_w [17]
4 years ago
11

Can someone help me on the following?. 14.5n – 4 = 8 15. 2x + 5 – 4x = -3 16. 96=-6(-4 -3y)

Mathematics
1 answer:
leonid [27]4 years ago
5 0
14. 5n - 4 = 8
           5n = 12
             n = 2.4

15. 3x + 5 - 4x = -3
              -x + 5 = -3
                    -x = -8
                     x = 8

16. 96 = -6(-4 - 3y)
      96 = 24 + 18y
      72 = 18y
        4 = y

17. 3(x - 5) = -14 + 17x
      3x - 15 = -14 + 17x
   -11x - 15 = -14
          -11x = 1
               x = -0.0909

18. 7z + 10 - z = 8z - 2(z - 5)
           6z + 10 = 8z - 2z + 10
           6z + 10 = 6z + 10
                   6z = 6z
                     z = z   (all real numbers are solutions)

Hope this helps.
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A rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeter
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Answer:

25%.

Step-by-step explanation:

Let E be the event that the dart lands inside the triangle.

We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.

We know that probability of an event represents the chance that an event will happen.

\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}

\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}

\text{Probability that dart lands inside the triangle}=\frac{162}{648}

\text{Probability that dart lands inside the triangle}=0.25

Convert into percentage:

0.25\times 100\%=25\%

Therefore, the probability that dart lands inside the triangle is 25%.

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3 years ago
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<u><em /></u>

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Step-by-step explanation:

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