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FinnZ [79.3K]
4 years ago
11

Write a compound inequality that represents each situation. Graph your solution. On a road in the city of Rochester, the maximum

speed is 50 miles per hour, and the minimum speed is 20 miles per hour.
Mathematics
2 answers:
iogann1982 [59]4 years ago
5 0
<h2>Answer:</h2>

The compound inequality that represents this situation is:'

                      20 ≤ s ≤ 50

<h2>Step-by-step explanation:</h2>

We are given information that:

On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

This means that the speed has to be greater than or equal to 20 but it can't exceed 50 i.e. it has to be less than or equal to 50.

Let s denote the speed.

This means that the compound inequality that can be formed using this information is:

                  20 ≤ s ≤ 50

drek231 [11]4 years ago
4 0

Let s represent speed.

20 \le s \le 50

To graph it, draw a number line. Show zero, 20, 50 and arrowheads at both ends. Draw closed circles at 20 and 50 and shade in between.

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Find the measure of the indicated angle to the nearest degree
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Answer:

  25°

Step-by-step explanation:

The relevant trig relation is ...

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  sin(?) = 25/60

  ? = arcsin(25/60) ≈ 24.62°

The indicated angle is about 25°.

5 0
3 years ago
Given the situation, which inequality models the number of additional weeks marie needs to continue saving to afford the home re
Artemon [7]

In the inequality models, the number of additional weeks is 1558+60x≥2158.

Given that the initial savings is $1558, the amount needed is $2158 and additional savings is $60 weekly.

Let the number of weeks be x.

So, she will save 60x in x weeks.

Total savings after x weeks is

Initial saving +60x       .......(1)

According to the question, she needs $1258 for repair.

So, that means the minimum requirement is 2158.

≥2158      ........(2)

Combine equations (1) and (2) and get

Initial savings +60x≥2158

As given that the initial savings is 1558.

Substitute this in above inequality and get

1558+60x≥2158

To find the number of weeks find value of x.

Subtract 1558 from either sides of the inequality.

1558+60x-1558≥2158-1558

60x≥600

Divide both sides with 60 as

60x÷60≥600÷60

x≥10

Hence, the inequality that models the number of additional weeks marie needs to continue saving to afford the home repairs is 1558+60x≥2158 and she needs to save $60 for at least 10 weeks.

Learn about inequality from here brainly.com/question/9774970

#SPJ4

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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