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natali 33 [55]
3 years ago
10

What values of x makes the inequality true? 2(x−4)−9x≤-4x+13

Mathematics
2 answers:
MAXImum [283]3 years ago
7 0
X>7
https://quickmath.com/webMathematica3/quickmath/inequalities/solve/basic.jsp#c=solve_stepssolveinequ...
Anestetic [448]3 years ago
3 0

Answer : x >= -7


On simplifying,

2x - 8 - 9x  <=  -4x + 13

-7x - 8 <= -4x + 13

-3x - 8 < = 13

-3x <= 21

x >= -7

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A red die, a blue die, and a yellow die (all six sided) are rolled. we are interested in the probability that the number appeari
NISA [10]

5/54 or approximately 0.092592593  
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
 r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
 r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
 r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
 r = 4, y = 2, b = 1, so n = 3 + 1 = 4
 r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
 r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
 r = 5, y = 2, b = 1, so n = 9 + 1 = 10
 
 And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
 r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
 r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
 r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
 r = 6, y = 2, b = 1, so n = 19 + 1 = 20 
 And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
6 0
3 years ago
Sheila buys some boxes of pens, with 20 pens in each box.
Bond [772]
Take the number of pen per box and multiply by the number of boxes giving you the total number of pens bought
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3 years ago
47 x 68 = 3196 Use this information to work out 31.96 ÷ 0.47 =
Zepler [3.9K]
The correct answer for this question is 68.

5 0
3 years ago
Suppose your local school district decides to randomly test high school students for attention deficit disorder (ADD). There are
REY [17]

Answer:

Option C is correct. Option f is the same as option C

Step-by-step explanation:

From the question, There are three high schools in the district, each with grades between nine to twelve. The school board decided to pool all of the students together and randomly samples 250 students in the whole district that has schools between the grade of nine to twelve.

In order to test for high school students in the district for Attention Deficit disorder(ADD), they could have chosen any 250 students from any school with grades betweem nine to twelve throughout the district.

4 0
3 years ago
Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club?
tatuchka [14]

Step 1

From the question;

\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\  \end{gathered}

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}

Answer; It will take Bobby 9months to read 90 booj

9\text{ months}

8 0
1 year ago
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