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Tresset [83]
3 years ago
8

five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. what is the solution

set of this problem?

Mathematics
2 answers:
Hoochie [10]3 years ago
5 0

Answer:

(-∞, -21]

Step-by-step explanation:

The inequality is

5(x+27) ≥ 6(x+26)

Using the distributive property on each side,

5(x)+5(27) ≥ 6(x)+6(26)

5x+135 ≥ 6x+156

Subtract 5x from each side:

5x+135-5x ≥ 6x+156-5x

135 ≥ x+156

Subtract 156 from each side:

135-156 ≥ x+156-156

-21 ≥ x

x ≤ -21

The interval for this solution set is everything less than or equal to -21; this is everything from negative infinity up to and including -21, or

(-∞, 21].

Marrrta [24]3 years ago
4 0
5(x + 27) >= 6(x + 26)

5x + 135 >= 6x + 156

-x >= 21

x <= -21

Answer: Choice B.
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Answer:

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Step-by-step explanation:

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In Yellowstone National Park there are 300 species of birds that migrate. This accounts for 2/7 of all the species of birds sigh
Juli2301 [7.4K]

Answer:

\frac{2}{7} x = 300

Step-by-step explanation:

Let x = the number of all the species of birds sighted in the park

“300 species of birds that migrate. This accounts for 2/7 of all the species of birds sighted in the park”

the above sentence means “(2/7)x = 300”

now we can solve it :

(2/7)x = 300

⇔ 2x = 7×300

⇔ 2x = 2100

⇔ x = 2100/2

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7 0
3 years ago
-26 times a number minus 22 is equal to 90 less than the number.
IgorLugansk [536]

Answer:

x = \frac{68}{27}

Step-by-step explanation:

Let x be the number

  1. Write it out: -26x - 22 = x - 90
  2. Combine like terms: -27x + 68 = 0
  3. Subtract 68 from each side, so it now looks like this: -27x = -68
  4. Divide each side by -27 to cancel out the -27 next to x. It should now look like this: x = \frac{68}{27}  

I hope this helps!

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What is the answer to the question?
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