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Over [174]
4 years ago
10

What solution of the inequality -1<4+5x<9

Mathematics
1 answer:
Harman [31]4 years ago
4 0
-1\ \textless \ 4+5x\ \textless \ 9 \\ \\ -1 - 4 \ \textless \  5x \ \textless \  9 - 4 \ / \ subtract \ 4 \ from \ equation \\ \\ -5 \ \textless \  5x \ \textless \  5 \ / \ simplify \\ \\ - \frac{5}{5} \ \textless \  x \ \textless \  1 \ / \ divide \ equation \ by \ 5 \\ \\ -1 \ \textless \  x \ \textless \  1 \ / \ simplify \\ \\

Answer: -1 < x < 1
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Tyler tried to solve an equation step by step.
svetlana [45]

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Tyler didn't make any mistake

This is correct method

6 0
3 years ago
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Please Help me to answerthe questions and options are in picture
sergejj [24]

Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.

So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:

524.96-32.5+x\ge500

Solving this inequality for x, we have:

\begin{gathered} 492.46+x\ge500 \\ x\ge500-492.46 \\ x\ge7.54 \end{gathered}

Therefore the correct option is the first one (a).

7 0
1 year ago
A line has a slope of
ella [17]

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The answer is 15x - 10y = -8

4 0
3 years ago
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Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from th
Zepler [3.9K]

The 1st Quartile that the Box-and-Whisker Plot shows tells us that: <em>A. Three fourths of the fish he caught were larger than 22 pounds.</em>

Recall:

  • In a Box-and-Whisker Plot, about 25% of the data will be below the first quartile while 75% will be above the first quartile, that is Three fourths of the data will be above the first quartile and one-fourths will be below the first quartile.

Thus, the given Box-and-Whisker Plot as shown in the diagram below shows that the first quartile is 22 pounds.

Therefore, the 1st Quartile that the Box-and-Whisker Plot shows tells us that: <em>A. Three fourths of the fish he caught were larger than 22 pounds.</em>

Learn more about Box-and-Whisker Plot on:

brainly.com/question/12343132

6 0
3 years ago
The library at school is organized By fiction and nonfiction books. There are 3 non-fiction books for every 7 fiction books how
OLEGan [10]

You can set up a proportion for this problem. Let the total number of books = x

The number of non-fiction books to the total number of books is

3/(7 + 3) books = 3/10

3/10 = 240/x                       Cross multiply

3x = 240 * 10                      Combine the right

3x = 2400                           Divide by 3

3x/3 = 2400/3                    Divide

x = 800

Answer: 800 books in total.

 


8 0
3 years ago
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