7: $200<3x-y(28) where x represents each kids money out of it and y represents the parents pay.
8: 7.00>(is greater then or equal to) 0.75X + 1.29Y where X is the amount of bagels and Y is the amount of cream cheese containers.
9: $25 + $75>4X where X is the shirts
10: 720-120>(greater then or equal to) 32X where X is the number of people in each row
11: 2400= 2100+ X(1/20) where X is the value of all things sold.
12: 2000<(X7)-668 where X is the amount of cans in one day.
13: 100> 7X - 10Y where X equals the amount of months and Y equals the amount of CD's
14: $80 - $22> (greater than or equal to) 17X where x equals the amount of shirts.
first off sorry it took so long to answer, these long word questions are time consuming and i havent done them in a while so i had to refresh my memory, secondly the equations all end where i say the word "where", thirdly i am absolutely sure of all these answers except for the first one, the first one i am pretty sure i still got it but not 100%.
hope this helps.
Just so you know, there's no diagram
Option C: The solution set is ![\{8\}](https://tex.z-dn.net/?f=%5C%7B8%5C%7D)
Explanation:
The expression is ![3 \ln 4=2 \ln x](https://tex.z-dn.net/?f=3%20%5Cln%204%3D2%20%5Cln%20x)
Now, let us find the solution set.
Switch sides, we get,
![2 \ln x=3 \ln 4](https://tex.z-dn.net/?f=2%20%5Cln%20x%3D3%20%5Cln%204)
Dividing by 2 on both sides, we have,
![\ln x=\frac{3 \ln 4}{2}](https://tex.z-dn.net/?f=%5Cln%20x%3D%5Cfrac%7B3%20%5Cln%204%7D%7B2%7D)
Thus,
Hence, the above expression becomes,
![\ln x=\frac{3 \cdot 2 \ln (2)}{2}](https://tex.z-dn.net/?f=%5Cln%20x%3D%5Cfrac%7B3%20%5Ccdot%202%20%5Cln%20%282%29%7D%7B2%7D)
Simplifying, we get,
![\ln x=3 \ln 2](https://tex.z-dn.net/?f=%5Cln%20x%3D3%20%5Cln%202)
Applying the log rule, we get,
![$$\ln x$=\ln \left(2^{3}\right)$](https://tex.z-dn.net/?f=%24%24%5Cln%20x%24%3D%5Cln%20%5Cleft%282%5E%7B3%7D%5Cright%29%24)
Simplifying, we have,
![$$\ln x$=\ln \left8\right$](https://tex.z-dn.net/?f=%24%24%5Cln%20x%24%3D%5Cln%20%5Cleft8%5Cright%24)
Applying the log rule, we have,
![x=8](https://tex.z-dn.net/?f=x%3D8)
Thus, the solution set is ![\{8\}](https://tex.z-dn.net/?f=%5C%7B8%5C%7D)
Hence, Option C is the correct answer.
The equation of the line g that passes through points (-3, 2) and (0, 5), in slope-intercept form, is: y = x + 5.
<h3>How to Write the Equation of a Line in Slope-intercept Form?</h3>
Given the coordinates of two points that lie on a straight line on a graph, the equation that represents the line in slope-intercept form can be expressed as, y = mx + b, where:
Slope = m = change in y / change in x
y-intercept = b (the value of y when x = 0).
The coordinates of the two points on line g is given as:
(-3, 2) = (x1, y1)
(0, 5) = (x2, y2).
Find the slope (m) of the line:
Slope (m) = (5 - 2)/(0 - (-3))
Slope (m) = 3/3
Slope (m) = 1.
Y-intercept (b) = 5
Substitute m = 1 and = 5 into y = mx + b:
y = x + 5
The equation of the line in slope-intercept form is: y = x + 5.
Learn more about the slope-intercept equation on:
brainly.com/question/1884491
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