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nydimaria [60]
3 years ago
14

James buys x books at a used-book sale. Enter an inequality that can be used to find the number of books James buys (x) when the

book cost $2 each and he spends less than $30.​
Mathematics
1 answer:
den301095 [7]3 years ago
4 0

2x<15

Step-by-step explanation:

2×15=30 if he spends less than he would have to be below 15 please give brainliest

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What is the interquartile range of this data set?
DiKsa [7]

Answer:

13

Step-by-step explanation:

To find the interquartile range you would first have to find the median. If you list the number in least to greatest order you will find that the median is 30.5. After you find the median you will spilt the data set up. So on one side it will be 20, 25, 30 and 30, the other side you be 31, 40, 41, and 49. Next, you would find the median of the first set that I listed which is 27.5. You would do the same for the second set and find the median which is 40.5. You would then subtract the first sets median from the second sets median which is 40.5-27.5 and that is 13.

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3 years ago
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.

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2 years ago
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