Answer:
9 blue marbles
Step-by-step explanation:
4 : 3 ratio
12 : x
12 / 4 = 3
4 × 3 : 3 × 3
12 : 9
The equation most closely models the line of best fit for the scatter plot is y = 2.5x
<h3>Equation of a line</h3>
A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b
- m is the slope
- b is the intercept
Using the coordinate points on the line (3, 5000) and (9, 20000)
Get the slope
Slope = 20000-5000/9-3
Slope = 15000/6 = 2500
Determine the y-intercept
5000 = 2500(3) + b
b = 5000 - 7500
b = -2500
Determine the equation
y = 2.5x - 2.5
Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x
Learn more on line plot here: brainly.com/question/8989301
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15. -(-7y + 12) = 7y - 12
16. 1/a = 16/18
cross multiply
16a = 18
a = 18/16 = 9/8
17. 8x - 12 = 4x + 24
8x - 4x = 24 + 12
4x = 36
x = 36/4
x = 9
18. -6b > 42 4b > -4
b < 42/-6 b > -4/4
b < - 7 b > -1
so b < -7 and b > -1
19. 6 more then the product of 8 and n
6 + 8n
20. 45 = 3b + 69
45 - 69 = 3b
-24 = 3b
-24/3 = b
-8 = b
Because you are told the two are similar, find the ratio of them.
Side AB = ft and side EF is 25 feet.
This means the larger rectangle is 5 times larger ( 25 /5 = 5).
Area is in square units, so square the ratio: 5^2 = 25
The area of the larger rectangle is 25 times the area of the smaller one.
Area = 35 x 25 = 875 ft^2
