The ratio of boys to girls is
12:24
(which is already one statement)
the ratio, simplified, is
1:2
(ratio are like fractions, which is how I was able to "simplify" it)
The computation shows that the price of each game is $2.5 and the price of shoe rental will be $3.
<h3>How to illustrate the information?</h3>
Fron the information given, the equation will be:
s + 4g = 13
s + 8g = 23
4g = 10
g = 2.5
Therefore, the price of each game is $2.5
The price of shoe rental will be:
s + 4g = 13
s + 4(2.50) = 13
s = 13 - 10.
s = 3
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We will check each options and verify it
(a)
we can plug m=2
so, this is FALSE
(b)
we can plug x=3
so, this is TRUE
(c)
we can plug x=3
so, this is FALSE
(d)
now, we can plug x=2
So, this is FALSE
The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²
<h3>Area of a composite figure</h3>
The area of the composite figure is the sum of the area of the whole figure.
Therefore, the composite figure can be divided into 2 triangles and two rectangles.
Hence,
area of triangle1 = 1 / 2 × 10 × 13 = 65 m²
area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²
area of the rectangle1 = 8 × 3 = 24 m²
area of rectangle2 = 7 × 6 = 42 m²
area of rectangle3 = 5 × 6 = 30 m²
Therefore,
area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared
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We need to know the function that models the difference in the number of customers visiting the two stores.
We know the function that models the number of customers in the cafeteria
W (x) = 0.002x3 - 0.01x2
We also know the function that models the number of customers who visit the ice cream parlor
R (x) = x2 - 4x + 13
Therefore the difference, D (x), in the number of customers visiting the two stores is:
D (x) = W (x) - R (x)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13
D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>
