sofia recycled 3 pounds less than the amount james recycled. hannah recycled 3 times the amount sofia recycled. if the three rec
2 answers:
Answer
Find out the how many pounds did sofia recycle .
To prove
Let us assume that the james recycled be = x
As given
sofia recycled 3 pounds less than the amount james recycled.
hannah recycled 3 times the amount sofia recycled.
Sofia recycled be = x - 3
hannah recycled be = 3 × (x - 3)
As given
the three recycled a total of 73 pounds .
Than the equation becomes
x + x - 3 + 3 × (x - 3) = 73
x + x - 3 + 3x - 9 = 73
5x - 12 = 73
5x = 73 + 12
5x = 85
x = 17
Sofia recycled be = x - 3
= 17 - 3
= 14 pounds
Therefore 14 pounds sofia recycled .
You might be interested in
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0. yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0. yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750