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krok68 [10]
2 years ago
11

To rent a moving truck there is a fee of $150 and each mile you drive costs an extra $1.75 per mile, where R(x) is the total cos

t to rent a truck for (x) number of miles. What is the total cost of the rental if you drive the truck a total of 96 miles?
Mathematics
1 answer:
abruzzese [7]2 years ago
8 0

Answer:

$318

Step-by-step explanation:

First, we want to set up an equation to solve this problem by using the information given to us. We're asked for the total cost, so we want one side of the equation to be R(x)=. Then, we know that the initial cost is $150, no matter how many miles we drive. We are also told that each mile is $1.75.

R(x)=150+1.75x

The problem tells us that we are driving 96 miles, so we can plug in 96 for x and solve.

R(x)=150+1.75(96)\\R(x)=150+168\\R(x)=318

The total cost of the rental is going to $318.

Hope this helps!

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What two numbers multiply to 54 and add up to 7
k0ka [10]
Xy = 54
x + y = 7

xy = 54
\frac{xy}{x} = \frac{54}{x}
y = \frac{54}{x}

x + y = 7
x + \frac{54}{x} = 7
\frac{x^{2}}{x} + \frac{54}{x} = 7
\frac{x^{2} + 54}{x} = 7
x^{2} + 54 = 7x
x^{2} - 7x + 54 = 0
x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}
x = \frac{7 \± \sqrt{49 - 216}}{2}
x = \frac{7 \± \sqrt{-167}}{2}
x = \frac{7 \± i\sqrt{167}}{2}
x = \frac{7 \± 12.9i}{2}
x = 3.5 \± 6.45i
x = 3.5 + 6.45i    or    3.5 - 6.45i

                  x + y = 7
   3.5 + 6.45i + y = 7
- (3.5 + 6.45i)       - (3.5 + 6.45i)
                        y = 3.5 - 6.45i
                  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

                          or

                  x + y = 7
   3.5 - 6.45i + y = 7
- (3.5 - 6.45i)     - (3.5 - 6.45i)
                       y = 3.5 + 6.45i
                 (x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.
5 0
3 years ago
What is the answer to -3x-5<-2 and what are the steps to actually finding the answer for it??
Andre45 [30]

Answer:

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Step-by-step explanation:

Given

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2 years ago
What is the solution to this equation?
Vinvika [58]

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Answer:

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nalin [4]
Hey there! 

These are the steps involved in answering the question:

Change 8% into a decimal. To do this, just move the decimal place, 2 places to the left.
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Now, multiply 0.8 by 44. 
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So, the final answer is: 35.2.

<span>(If you feel that my answer has helped you, please consider rating it and giving it a thank you! Also, feel free to choose the best answer, the brainliest answer!)
</span>
<span>Thank you for being part of the brainly community! :D</span>
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