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andriy [413]
1 year ago
14

For which inequality would x = 8 not be a solution?4x + 3 > 09x - 5 < 100x + 4 ≤ 1072 ÷ x ≥ 4

Mathematics
1 answer:
galina1969 [7]1 year ago
5 0

Given:

Given the inequalities:4

\begin{gathered} 4x+3>0 \\ 9x-5

Required: Identify the inequality in which x = 8 is a solution.

Explanation:

Substitute 8 for x in each inequality and check whether it satisfies the inequality.

Consider 4x + 3 > 0.

4\cdot8+3=35>0

So, x = 8 satisfies the inequality 4x + 3 > 0.

Consider 9x - 5 < 100.

9\cdot8-5=67

So, x = 8 satisfies the inequality 9x - 5 < 100.

Consider x + 4 ≤ 10.

8+4=12>10

So, x = 8 not satisfies the inequality.

Consider 72 ÷ x ≥ 4.

72\div8=9\ge4

So, x = 8 satisfies the inequality.

Final Answer: The inequality in which x = 8 is not a solution is x + 4 ≤ 10.

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The city of new orleans leaves union station in chicago at 6:00 am and travels south to new orleans. the train travels the 930.0
Naddik [55]
Answer: 460.6 miles South of Chicago

Explanation:

1) <span>The City of New Orleans leaves Union Station in Chicago at 6:00 am and travels south to New Orleans. The train travels the 930.0 miles to New Orleans at an average speed of 79.0 miles per hour.

Scheme:


 →to south                                                    ←to north
                |----------------------|---------------------|
               A          x             X      930.0 - x    B
            6:00 am                                          6:00 am
           →                                                      ←
           v = 79.0 mi/h                                     v = 81.1 mi/h


=> x = 79.0 mi/h * t

2) at the same time the City of Chicago leaves New Orleans and travels north to Nhicago. The train travels the 930.0 miles to Chicago at an average speed of 81.1 miles per hour.

930.0 - x = 81.1 mi/h * t

3) How many miles south of chicago do the two trains pass each other?

Divide the two equations:

930.0 - x         81.1*t
------------- =   ----------
      x                 79*t

t cancels out =>

930.0 - x         81.1
------------- =   --------
     x                 79.0

Solve:

81.1x = 79.0(930.0 - x)

81.1x = 79.0 * 930.0 - 79.0x

81.1x + 79.0x = 73,470

=> 160.1x = 73,470

=> x = 73,470 / 160.1

=> x = 460.6 mi

4) Answer 460.6 miles South of Chicago.
</span>
7 0
3 years ago
Kendall's sister had 25 hair clips. 7 of them were blue and the rest were purple.What percent of Kendall's sister hair clips wer
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1. Lin wants to save $75 for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What
Sliva [168]

Answer:

50%

Step-by-step explanation:

you divide 75 by 37.50 i hope this helped.

7 0
2 years ago
Find the distance between points P(5, 1) and Q(1, 3) to the nearest tenth.
bonufazy [111]

Answer:

Idk if its multiple choice but you can do 1 of 2 ways theres using distance formula =√(5-3)sq+(1-4)sq

=√4+9

=√13 <--

or

3.6 units

Given: The two points that are P(5,1) and Q(3,4).

To find: The distance between these two points.

Solution: It is given that there are two points that are P(5,1) and Q(3,4).

The distance between these two points can be found out as using the distance formula that is: 3.6

Thus, the distance between the given two points is 3.6 units.

So you choose 13 or 3.6 Hope this helps :)

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