Answer:
(5 x + 2) (x + 2)
Step-by-step explanation:
Factor the following:
5 x^2 + 10 x + 2 x + 4
10 x + 2 x = 12 x:
5 x^2 + 12 x + 4
Factor the quadratic 5 x^2 + 12 x + 4. The coefficient of x^2 is 5 and the constant term is 4. The product of 5 and 4 is 20. The factors of 20 which sum to 12 are 2 and 10. So 5 x^2 + 12 x + 4 = 5 x^2 + 10 x + 2 x + 4 = 2 (5 x + 2) + x (5 x + 2):
2 (5 x + 2) + x (5 x + 2)
Factor 5 x + 2 from 2 (5 x + 2) + x (5 x + 2):
Answer: (5 x + 2) (x + 2)
cuboid=3*3*5 [i.e l*b*h]
LCM of 3,5=15
i.e 15cm is the dimension of the final cube.
therefore cuboid required across length=15/3=5
similarly, across breadth=15/3=5
similarly, across height=15/5=3
Therefore total no of cuboid=5*5*3=75
x+30=2x-70, x-70=30, x=100
180=(2(100)-70)+5y, 180=130+5y, 50=5y, y=10
To solve this problem, all we have to do is to thoroughly
analyze the situation step by step.
First let us work on the remaining 10 gallons of water in
the tank. We are given that 2 / 3 of the water initially in the tank leaked
out. Therefore this means that we are left with 1 / 3 the original amount of
water which is 10 gallons, hence:
(1 / 3) Vi = 10 gallons
where Vi is the initial volume of water inside the tank,
calculating for Vi:
Vi = 3 (10 gallons)
Vi = 30 gallons
We are also given that this initial volume of water is
just 3 / 4 of the total capacity of the tank, therefore:
(3 / 4) Vc = Vi
where Vc is the volume capacity of the tank, calculating
for Vc:
Vc = 4 Vi / 3
Vc = 4 (30 gallons) / 3
Vc = 40 gallons
Answer:
<span>Capacity of the fish tank is 40 gallons</span>
What type of prism? triangular? Rectangular?
