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Marina CMI [18]
3 years ago
13

6-3(2x-3)=5(6-x) -4x​

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Given

6-3(2x-3)=5(6-x) -4x

Required

Solve

6-3(2x-3)=5(6-x) -4x

Open Brackets

6-3*2x-3*-3=5*6-5*x -4x

6-6x+9=30-5x -4x

Collect Like Terms

-6x + 5x + 4x = 30 - 6 - 9

3x = 15

Solve for x

x = \frac{1}{3} * 15

x = 5

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3 years ago
Read 2 more answers
Two types of memberships are available for a theme park:
sergiy2304 [10]

The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.

Step-by-step explanation:

Given,

Per month charges of type 1 = $86

Per visit charge = $3

Let,

v be the number of visits.

T(v) = 3v+86    

Per month charges of type 2 = $45

Per visit charge = $5

P(v) = 5v+45

For same amount to be charged;

T(v) = P(v)

3v+86=5v+45\\86-45=5v-3v\\41=2v\\2v-41=0

The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.

8 0
3 years ago
Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers
ella [17]

Answer:

The Relative Frequency Table is:

<u>  Manufacturer         Relative Frequency  </u>

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer         Relative Frequency

General Motors                  0.242

      Ford                              0.208

Chrysler LLC                       0.148  

     Toyota                           0.177

     Honda                            0.116

     Nissan                            0.109

3 0
3 years ago
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