Answer:
2
Step-by-step explanation:
Hello there!
4(3x - 11) + 23 = 5x - 14
Apply the distributive property to 4(3x - 11)
4(3x) + 4(-11)
12x - 44
We now have:
12x - 44 + 23 = 5x - 14
Combine like-terms on the left-hand side of the equation.
-44 + 23 = -21
12x - 21 = 5x - 14
Get x on one side by subtracting 5x from both sides..
12x - 5x = 7x
5x - 5x = 0
7x - 21 = -14
Add 21 to both sides to isolate 7x.
-21 + 21 = 0
-14 + 21 = 7
7x = 7
Divide both sides by 7 to solve for x.
7x / 7 = x
7 / 7 = 1
We are now left with the following solution:
x = 1
I hope this helps!
Answer:
Yes there is a constant rate of change of 1/3.
Step-by-step explanation:
The slope stays the same the whole time therefore the ratio does not change, so it is proportional.
Ethnographic research is the type of sample is specifically used for gathering information about clandestine or difficult-to-identify groups.
Cultures have a set of rules and beliefs about what is correct for that specific culture. Ethnocentrism is the measuring and judging of one culture by another culture. This can be either a positive or negative judgment about the difference between the beliefs of the two cultures. Ethnocentrism is also believing in the inferiority of other cultures compared to the superiority of one's own culture.
Additionally, ethnocentrism is defined by individualistic or collective cultures. Many Western cultures are individualistic; they tend to focus on what is best for the individual.
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Hi there! :)

Find the perimeter by solving for y.
We know that a rectangle contains two pairs of parallel and congruent sides, therefore:
5y - 1 = 2y + 8
We can solve for y using this expression. Begin by subtracting 2y from both sides:
5y - 2y - 1 = 2y - 2y + 8
3y - 1 = 8
Add 1 to both sides:
3y - 1 + 1 = 8 + 1
3y = 9
Divide both sides by 3:
y = 3
Recall that the perimeter of a rectangle is:
P = 2l + 2w
Plug in the given expressions for the side lengths to find one equation:
P = 2(5y - 1) + 2(y - 1)
Simplify by distribution:
P = 10y - 2 + 2y - 2
Combine like terms:
P = 12y - 4
Plug in the solved value of y into this equation:
P = 12(3) - 4
P = 36 - 4
P = 32 cm.