Ans: x=8/9
Explanation
3^3x-2=3^2/3
3x-2=2/3
3x=2/3+2
3x=8/3
x=8/9
Answer:
<em>El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.</em>
Step-by-step explanation:
<u>Sistemas de Ecuaciones</u>
Llamamos:
x = litros de jugo al 5% natural
y = litros de jugo al 25% natural
El administrador de la cafetería desea hacer 50 litros de jugo, luego:
x + y = 50 [1]
Esos 50 litros de jugo deben tener 10% de jugo natural. Como cada parte de x aporta 5% y cada parte de y aporta 25%:
5x + 25y = 10*50 = 500
Dividimos entre 5:
x + 5y = 100 [2]
Restamos [2] menos [1]:
4y = 50
y = 50/4 = 12.5
De [1] tenemos que:
x = 50 - y = 50 - 12.5 = 37.5
El administrador debe usar 37.5 litros de jugo al 5% y 12.5 litros de jugo al 25%.
Answer:
r = 16 cm
g = 34 cm
LA = 1708.16 cm^2
Step-by-step explanation:
We have that for the cone, the formula is as follows:
v = pi / 3 * r ^ 2 * h
the first thing they ask is to calculate the radius, therefore we solve for r
r ^ 2 = 3 * v / (pi * h)
replacing the volume and height, it remains:
r ^ 2 = 3 * 2560 * pi / (pi * 30)
r ^ 2 = 3 * 2560/30 = 256
r = 16
Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:
g ^ 2 = r ^ 2 + h ^ 2
g ^ 2 = 16 ^ 2 + 30 ^ 2
g ^ 2 = 1156
g = 34
The lateral area of the cone is given by the following equation:
LA = pi * r * g
replacing
LA = 3.14 * 16 * 34
LA = 1708.16 cm ^ 2
the lateral area is 1708.16 cm ^ 2
<span>The correct expression is
3a^2 + 4b^2
for a = 2 and b = 3
</span> 3*(2)^2 + 4*(3)^2=48
The answer in this case is 48
Answer:B 55
Step-by-step explanation: