The volume of the smoothies served is 18.67 liters.
Given:
volume of fruit juice = 35 liters
ratio of fruit juice to smoothies = 4.5 to 2.4
Proportion: a:b = c:d where ad = bc
a = 4.5 ; b = 2.4 ; c = 35 ; d = x
4.5 to 2.4 = 35 to x
4.5x = 35 * 2.4
4.5x = 84
4.5x/4.5 = 84/4.5
x = 18.67 volume of smoothies.
to check:
4.5(18.67) = 35*2.4
84.015 = 84
Answer:
the third angle is 50 degress
Step-by-step explanation:
the angle sum property states that the sum of all the interior angles of a triangle is 180.
therefore : 30 + 100 + x = 180
x = 180 - 130
x = 50
Answer:
b. 6|x|
Step-by-step explanation:
√(36x²) = √36√(x²)= 6|x|
Because √ from the number can be only positive.
Answer: Choice A -- f(x) = (1/3)*|x|
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The input of a function is x and the output is y = f(x)
To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.
In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)
So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|
