The scale factor of 0.75 would ensure that the new fence has a smaller area
The total cost of fencing the smaller area is $1610.28
<h3>How to determine the fencing cost?</h3>
From the complete question, we have the following parameters:
- Number of units on the smaller area, k = 12
- Scale factor = 0.75
- Unit cost = $6.39 per yard
- Perimeter, P = 28 yards
Start by calculating the perimeter of the smaller area using:
Smaller Area = Perimeter * Scale factor * k
Where k represents the number of units on the smaller area
So, we have:
Smaller Area = 28 yards * 0.75 * 12
Evaluate the product
Smaller Area = 252 yards
The total cost is then calculated as:
Total cost = Unit cost * Smaller Area
This gives
Total cost = 6.39 * 252
Total cost = $1610.28
Hence, the total cost of fencing is $1610.28
Read more about scale factors at:
brainly.com/question/3457976
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
Answer:
6kg pure copper and 30 kg 10% copper was mixed to give 36kg of 25% alloy
Step-by-step explanation:
Here, we want to produce 36 kg of 25% alloy
Let the Pure copper be x kg while 10% alloy be y kg
Pure copper is simply 100% copper
Thus;
x + y = 36 •••••(i)
Then;
100% of x + 10% of y = 25% of 36
= x + 0.1y = 9 •••••• ii)
From i x = 36-y
from ii, x = 9-0.1y
Equate both x
36-y = 9-0.1y
36-9 = 0.1y + y
0.9y = 27
y = 27/0.9
y = 30
x = 36-y
x = 36-30
x = 6 kg
The answer is 66 kilometers.
Start with the given expression: 12g where 'g' standts for the liters of gasoline.
Input your data and solve: 12 * 5.5 = 66
