The last one shows the right transformation.
Answer:
1110 liters
Step-by-step explanation:
Let x = amount of 26% juice.
Amount of tomato juice:
740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice
x liters of 26% juice contains 0.26x liters of tomato juice
The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.
266.4 + 0.26x = 0.3(x + 740)
266.4 + 0.26x = 0.3x + 222
-0.04x = -44.4
x = 1110
Answer: 1110 liters
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
where:
- = length of apothem
- = perimeter
<u>Heptagon</u>
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
<u>Octagon</u>
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
<u>Triangle</u>
Formula for the apothem of an equilateral triangle :
where = side length
a = 4, so:
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²