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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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Which of the following algebraic expressions represents the statement given below?
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7 0
3 years ago
The bascule bridge shown is opening from its horizontal position to its fully vertical position. So far, the bridge has lifted 3
Maslowich

The bascule bridge will take another <u>23 seconds</u> to reach its vertical position from its current lift position of 35°.

<h3>How is the time determined?</h3>

Using proportion or ratio, one can determine the additional seconds required by the bridge to achieve a vertical position.

The current lift position is 35°, which took 21 seconds.  This implies that the bridge's lift rate is <u>1.67° per second</u> (21/35°).  To lift to 90°, the bridge will take 54 seconds (1.67 x 90).  Since it has already taken 21 seconds, the bridge requires additional <u>23 seconds</u> (54 - 21) to complete the vertical lift.

<h3>Data and Calculations:</h3>

The vertical position of the bridge =  90°

The horizontal position =  0°

Current lift position = 35°

The time it took the bridge to lift 35° = 21 seconds

Therefore, the time it will take the bridge to reach its vertical position from its horizontal position of  90° is 54 seconds (21 x 90/35).

The additional time required by the bridge to reach its vertical position from its current position of 35° is 23 seconds (54 - 21).

Thus, it will take another <u>23 seconds</u> to reach its vertical position.

Learn more about speed, time, and distance at brainly.com/question/553636

#SPJ1

7 0
1 year ago
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