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
(- 5, - 6 )
for x- coordinate x + 5 = 0 ⇒ x = - 5
given f(x) ± c , the value of c translates the graph vertically up/down by ± c
here c = - 6 , thus graph is shifted down by - 6
thus the vertex = (- 5, - 6)
Answer:
Square
Explanation:
A square is the only other shape with 4 right angles
Answer:
22
Step-by-step explanation:
x-1 is a midsegment.
According to the Triangle midsegment theorem, x-1 is half of the third side (42)
x-1 = 42/2
x-1 = 21
x= 22
or
2x-2=42
2x=44
x=22
Hope this helps!