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pogonyaev
3 years ago
15

The value of a car is inversely proportional to its age. if a car is worth ​$49004900 when it is 55 years​ old, how old will it

be when it is worth ​$35003500​?
Mathematics
1 answer:
devlian [24]3 years ago
6 0
Multiply them together to get a constant.
Then divide the constant  by the new value and it will give you the new age.
You can just use substitution to find any variable.

constant = age * value
value = constant / age
age = constant / value
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Tim has an encyclopedia in 5 volumesA–C, D–F, G–J, K–N, and O–Z. Other than alphabetically (ascending or descending), how many w
Ira Lisetskai [31]
The first book can be any one of the 5.
               For each of those . . .
The 2nd book can be any one of the remaining 4.
               For each of those ...
The 3rd book can be any one of the remaining 3.
              For each of those . . .
The 4th book can be either of the remaining 2.
             For each of those . . .
The 5th book is the last one remaining.

Total number of ways to arrange the 5 books is

           (5 · 4 · 3 · 2 · 1)  =  120 .

Cross off alphabetically ascending (1 way), and alphabetically
descending (1 way), and you're left with  (120 - 2)  =  118 ways.
6 0
3 years ago
Read 2 more answers
If x < 5, then which of the following must be true? - x < 5 - x > -5 - x > 5 - x < -5
Nat2105 [25]

Answer:

-x > -5

Step-by-step explanation:

Let's start with a positive number less than 5.

4<5

likewise when applied to -x> -5

-4>-5

4 0
3 years ago
Factoring 2m^2 + 10m+25
oksian1 [2.3K]
Oh...........sorry?
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5 0
3 years ago
Which graph represents the function p(x) = |x – 1|?
kotegsom [21]

Answer:

the second one of course

5 0
2 years ago
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Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
Read 2 more answers
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