We know that
• The new charge was $0.50 to mail a letter weighing up to 1 ounce, and $0.21 for each additional ounce.
Based on the given information, the expression is
Where <em>x</em> represents additional ounces, and <em>y</em> represents a cost.
<h2>Hence, the function is</h2>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
Answer:
The adult tickets are <u>400</u> and the children tickets are <u>300</u>.
Step-by-step explanation:
Given:
At a carnival, 700 tickets were sold for a total amount of $5500. An adult ticket cost $10 and a children's ticket cost $5.
Now, to find the number of adult tickets and the number of children's tickets sold.
<em>Let the number of adult tickets be </em><em />
<em>And let the number of children tickets be </em><em />
So, the total number of tickets sold:
Now, the total amount of tickets:
Substituting the value of from equation (1):
<em>Subtracting both sides by 3500 we get:</em>
<em /><em />
<em>Dividing boths sides by 5 we get:</em>
<u />
<u>The number of adult tickets = 400.</u>
Now, substituting the value of in equation (1) we get:
<u>The number of children tickets = 300.</u>
Therefore, the adult tickets are 400 and the children tickets are 300.