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sammy [17]
2 years ago
11

John, Mark, and Sheila commute a total of 2 hours a day. John's commute is 0.5 of an hour longer than Mark's, and Sheila's commu

te is twice as long as Mark's. Let x represent the length of Mark's commute. Which expression represents the length of John's commute? Which expression represents the length of Sheila's commute?
Mathematics
2 answers:
o-na [289]2 years ago
8 0

Answer:

Johs commute: x + 0.5

Shelia's commute: 2x

Step-by-step explanation:

I did this on edge 2020, it's correct I promise.

konstantin123 [22]2 years ago
4 0

Answer:

John's commute = x + 0.5

Sheila's commute = 2x

Step-by-step explanation:

Given:

Total hour commute = 2

Mark's commute = x

John's commute = x + 0.5

Sheila's commute = 2x

Find:

Each commute

Computation:

Total hour commute = Mark's commute + John's commute + Sheila's commute

2 = x + x + 0.5 + 2x

4x = 1.5

x = 0.375  hour

John's commute = x + 0.5

John's commute = 0.375 + 0.5 = 0.875 hour

Sheila's commute = 2x

Sheila's commute = 2(0.375) = 0.75 hour

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laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

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So, being |3x-9|≤15

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The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

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