X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer:
5907.2 grams
Step-by-step explanation:
16 x 28.4 x 13 = 5907.2grams
I think the correct answer is 56%
The graph scale is 0.5.
g(x) is 3 units lower than f(x). How do we find this?
A isn't correct because then g(x) would be 1 <em>above</em> f(x).
C isn't correct either because that would mean that g(x) is f(x) moved 1 over to the left.
D isn't correct because that would mean g(x) is f(x) moved 3 to the right.
B is correct because it means that g(x) is f(x) moved down 3 units.
I got B, but it is always helpful to double check work. Hope this helps!
Answer:
Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.
Step-by-step explanation:
Let, the company make x liters of drink A
The company makes drink B of (80+x) liter. Since the company make 80 more liters of Drink B than liters Drink A .
Given drink A contains 20% real fruit.
Therefore x liters of drink A contains
liters
liters real fruit.
Drink B contains 5% real fruit juice.
(80+x) liters of drink B contains
liters
liter real fruit.
The company used 56.5 liters of real fruit juice to make Drink A and Drink B.
According to the problem,


⇒80+5x = 56.5×20
⇒80+5x=1130
⇒5x=1130-80
⇒5x=1050

⇒x=510
Therefore the company made 510 liters of Drink A and (510+80)=590 liters of Drink B.