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goldenfox [79]
3 years ago
15

Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible values for x.

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0
4(x + 15) > = 120
4x + 60 > = 120
4x > = 120 - 60
4x > = 60
x > = 60/4
x > = 15...........so ur answer is 15 or more
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30 percent of x is 12. What is x?
stealth61 [152]

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nadya68 [22]

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3 years ago
give 12 consecutive integers, in how many ways can three of these integers be selected to give a sum which divides by 4?
BaLLatris [955]

Answer:

  • 55 ways

Step-by-step explanation:

<u>Out of 12 consecutive integers:</u>

  • 3 - divide by 4, so the remainder is 0
  • 3- give remainder of 1
  • 3- give remainder of 2
  • 3 - give remainder of 3

<u>Sum of 3 integers will be divisible by 4 if the remainders are:</u>

  • 0 - 0 - 0 ⇒ 1 combination
  • 0 - 1 - 3 ⇒ 3*3 = 9 combinations
  • 0 - 3 - 1 ⇒ 3*3 = 9  combinations
  • 1 - 1 - 2  ⇒ 2*3 = 6  combinations
  • 1 - 2 - 1  ⇒ 2*3 = 6  combinations
  • 2 - 1 - 1 ⇒ 2*3 = 6 combinations
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  • 3 - 1 - 0 ⇒ 3*3 = 9 combinations

<u>So total number of combinations is:</u>

  • 1 + 4*9 + 3*6 = 55
7 0
3 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x + y = 3​
Neporo4naja [7]

Answer:

y = - 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x + y = 3 ( subtract 3x from both sides )

y = - 3x + 3 ← in slope- intercept form

7 0
2 years ago
Read 2 more answers
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