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dezoksy [38]
3 years ago
13

What is the answer to this equation: 7.4 - 9 - 2r =18

Mathematics
2 answers:
eimsori [14]3 years ago
6 0

The answer to the equation is r=-9.8


First combine the like terms of the equation.

7.4-9-2r=18

7.4+(-9)=-1.6

-1.6-2r=18


Continue by adding 1.6 to both sides of the equation to isolate the variable.

-1.6-2r=18

+1.6 +1.6

-----------------

-2r=19.6


Divide -2 on both sides.

\frac{-2r}{-2} = \frac{19.6}{-2}

r=-9.8

lorasvet [3.4K]3 years ago
5 0

We can get the answer to this equation by solving for the variable (r).


7.4 - 9 - 2r = 18


We want to get r on one side, so we want to push everything else to the other side.


-2r = 18 - 7.4 + 9


-2r = 19.6


2r = -19.6


r = -9.8

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Answer:

We have 4 solutions:

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Step-by-step explanation:

Let the number of 10-foot truck with a capacity of 350 cubic feet purchased=a

Let the number of 14-foot truck with a capacity of 700 cubic feet purchased=b

Let the number of 24-foot truck with a capacity of 1,400 cubic feet purchased=c

The company wants to purchase 25 trucks, therefore.

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Furthermore, the combined capacity of the trucks is 28,000 cubic feet.

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Since the number of equations is less than the number of variables, you can not use a matrix equation to solve this problem.  The solution is most easily found using an augmented matrix.  

The augmented matrix is presented below:  

\left[\begin{array}{ccc|c}1&1&1&25\\350&700&1400&28000\end{array}\right]

Using the calculator, the reduced row echelon form is:

\left[\begin{array}{ccc|c}1&0&-2&-30\\0&1&3&55\end{array}\right]

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a- 2c=-30 means a =2c-30

b+3c=55 means b= 55-3c

We alter the value of c as long as neither a nor b becomes negative. Suitable values for c are 15, 16, 17, and 18:

\left|\begin{array}{|c||c||c|}a=2c-30&b=55-3c&c\\0&10&15\\2&7&16\\4&4&17\\6&1&18\end{array}\right|

We can easily  verify that, for each solution, the number of trucks adds up to 25 and the fleet capacity is 28,000 cubic feet.

We therefore have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
  • 2 10-foot trucks, 7 14-foot trucks, and 16 24-foot trucks
  • 4 10-foot trucks, 4  14-foot trucks, and 17 24-foot trucks
  • 6 10-foot trucks, 1 14-foot trucks, and 18 24-foot trucks
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Answer:

<h2>The answer is option A</h2>

Step-by-step explanation:

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We have

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