The equation simplified (combine like terms) would be 11x+(-24) =180.
Since adding a negative is the same as subtracting a positive, you could also write it as this: 11x-24=180. Next step is isolate the variable, so to do that you need to add 24 to both sides of the equation: 11x-24+24=180+24. This is the same as 11x=204. Now to get only one of the variable, you need to divide both sides by 11. x=18.54 repeating or x=18 6/11. Hope this helped!
Answer:
yes
Step-by-step explanation:
well plug it in: y=6x -> y=6(3/9) and solve, yes if theres a slope of 1
The central tendency researcher use to describe these data is "mode".
<h3>What is mode?</h3>
The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Calculation of mode is done by-
- The number that appears the most frequently in a piece of data is its mode.
- Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode.
- The most frequent number is the mode.
- Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set.
- The figure with the largest total is the mode.
- Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.
To know more about the mode of the data, here
brainly.com/question/27951780
#SPJ4
Answer:
x = 10
Step-by-step explanation:
Using the rules of logarithms
• log x + log y ⇔ log(xy)
• log
⇔ n log x
• log x = log y ⇒ x = y
Given
ln20 + ln5 = 2 lnx , then
ln(20 × 5) = ln
ln 100 = ln
, hence
x² = 100 ( take the square root of both sides )
x = 10
<span>Simplifying
4(y + -3) = 6(y + 2)
Reorder the terms:
4(-3 + y) = 6(y + 2)
(-3 * 4 + y * 4) = 6(y + 2)
(-12 + 4y) = 6(y + 2)
Reorder the terms:
-12 + 4y = 6(2 + y)
-12 + 4y = (2 * 6 + y * 6)
-12 + 4y = (12 + 6y)
Solving
-12 + 4y = 12 + 6y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
-12 + 4y + -6y = 12 + 6y + -6y
Combine like terms: 4y + -6y = -2y
-12 + -2y = 12 + 6y + -6y
Combine like terms: 6y + -6y = 0
-12 + -2y = 12 + 0
-12 + -2y = 12
Add '12' to each side of the equation.
-12 + 12 + -2y = 12 + 12
Combine like terms: -12 + 12 = 0
0 + -2y = 12 + 12
-2y = 12 + 12
Combine like terms: 12 + 12 = 24
-2y = 24
Divide each side by '-2'.
y = -12
Simplifying
y = -12</span>