1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
agasfer [191]
3 years ago
12

5(9-x)/3 +1 less than 11find x​

Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

x > \frac{1}{5}

Step-by-step explanation:

\frac{5(9-x)}{3+1}

Add 3 and 1 to get 4.

\frac{5(9-x)}{4}

Use the distributive property to multiply 5 by 9−x.

\frac{45-5x}{4}

Subtract  45/5 from both sides.

-\frac{5}{4}x

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

-\frac{5}{4} x

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

x>-\frac{1}{4} (-\frac{4}{5} )

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

x>\frac{-(-4)}{4 x 5}

x>\frac{1}{5}

You might be interested in
Write the solution set in set notation with no spaces. |2+3m|-9=7
IRINA_888 [86]
You have to add 9 on both sides and then you have to rewrite the equation with a positive and a negative and then you have to subtract 3 on both sides of each equation then you have to solve each equation to find the answer
8 0
3 years ago
Some students were asked how many pens they were carrying in their backpacks. The data is given in this frequency table. What is
Ierofanga [76]
The answer is c. Add all of the numbers on the right and then devide by five. Thd answer is C.
7 0
3 years ago
-5/4 <br> What is 4 divided by negative 5
Delvig [45]

Answer:

-0.8

Step-by-step explanation:

Hope this helps!! :) :) Please mark Brainlliest.

4 0
3 years ago
Solve the inequality below for x.<br> 10r - 5 &lt; 4r – 53
Igoryamba

Answer:

r < −8

I hope this helps!

3 0
3 years ago
The dot plot represents a sampling of ACT scores: dot plot titled ACT Scores with Score on the x axis and Number of Students on
Fantom [35]

Step-by-step explanation:

Hi,

To draw a box plot, you require certain points on the graph calculated.

  • Quartile 1
  • Quartile 2 or Median
  • Quartile 3

As per the information provided, your data looks like this:

<em>(Each dot in the dot plot shows the frequency of the score)</em>

18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25.

Using the data, we first calculate the median.

Median of any data set is the most central value. Since there are 18 values in this data set, we consider the two most central values, which are the 9th and 10th values.

The 9th value of the data corresponds to 22.

The 10th value of the data corresponds to 22.

Hence the median is 22.

<em>(Had these two values been different, we would have simply add them and divided the sum by 2 to find the median.)</em>

<em />

Now we find Quartile 1, which is one-fourth value of the data.

Q_{1} = \frac{n}{4}  = \frac{18}{4} = 4.5

4.5th value is Q1, which lies between 4th and 5th value.

4th value of the data set corresponds to 19.

5th value of the data set corresponds to 21.

We add them both and divide the sum by 2.

\frac{19+21}{2} = 20

Hence the first quartile is 20.

Now we find Quartile 3, which is three-fourth value of the data.

Q_{3} = \frac{3n}{4}  = \frac{18*3}{4} = 13.5

13.5th value is Q3, which lies between 13th and 14th value.

13th value of the data set corresponds to 23.

14th value of the data set corresponds to 23.

Hence the third quartile is 23.

To plot the box, the top line of the box is at Q3, central line at Median and lower end of the box at Q1.

The two whiskers of the plot, upper is at the highest point: 25 and lower is at the lowest point: 18.

Your plot should look like this:

7 0
3 years ago
Other questions:
  • How do i solve this?
    7·2 answers
  • What is the square root of 30? round to the nearest tenth
    15·2 answers
  • What is the <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B40.23%7D%20" id="TexFormula1" title=" \sqrt{40.23} " alt=" \sqrt{
    5·2 answers
  • Explain how you know whether to add or subtract when you use the distributive property to multiply
    10·1 answer
  • The data represents the results for a test for a certain disease. Assume one individual from the group is randomly selected. Fin
    13·1 answer
  • What is the highest degree in x³ - x²y² - y² + 2​
    7·1 answer
  • 9<br> 1<br> 4<br> 10<br> -1<br> 10<br> Answer with a mixed number in simplest form.
    9·1 answer
  • Just curious what is 52 x 34 - 342
    11·2 answers
  • WHOEVER HELPS ME WILL GET MARKED BRAINLIEST PLSSSSS HELP
    5·2 answers
  • Which conversion factor should be used to convert the 152.5 g to moles?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!