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AnnZ [28]
3 years ago
5

What value of c makes the equation true? (PLEASE HELP, and look at the picture)

Mathematics
2 answers:
Cloud [144]3 years ago
8 0

Answer:

\displaystyle c = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle \frac{3}{6} = \frac{4}{c}

<u>Step 2: Solve for </u><em><u>c</u></em>

  1. Simplify [Reduce]:                                                                                             \displaystyle \frac{1}{2} = \frac{4}{c}
  2. [Multiplication Property of Equality] Cross-multiply:                                      \displaystyle c = 8
KiRa [710]3 years ago
3 0

Answer:

c = 8

Step-by-step explanation:

\small \sf \frac{3}{6} = \frac{4}{c } \\

  • Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.

c × 3 = 6 × 4

  • multiply 6 and 4 to get 24

3c = 24

  • divide both side by 3

\small \sf  \frac{3c }{3} = \frac{ 24} {3} \\

\small \sf  \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\

  • Divide 24 by 3 to get 8.

c = 8

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Step-by-step explanation:

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Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y
harina [27]

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

                              y

p(x,y)                   0               1                                 2                g(x)

x    0           0.025              0.015                       0.010            0.05

1                  0.050            0.030                        0.020           0.1  

2                   0.115             0.075                        0.050           0.24

3                  0.150              0.090                      0.060             0.3

<u>4                   0.100             0.060                     0.040              0.2 </u>

h(y)              0.325              0.27                       0.18  

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

       = ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

        = 0 + 0.1+ 0.48 + 0.9+0.8

        =2.28

E(Y)= ∑yi h(y)

      = (0* 0.325) + (1*0.27) + (2*0.18)    

       = 0 +0.27+ 0.36

        = 0.63

E (x+Y) = E(X) +E(Y)

             = 2.28 + 0.63

                = 2.91

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                   = 3(2.28) + 10 (0.63)

                       = 6.84 +6.3

                         = 13.14

Expected revenue from the single trip is $ 13.14

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