It is only 1 proportion, and it is 1 problem.
10 8
---- = ---
X 4
1). It is 8x=40
2). Divide both sides
by 8
3). X=5
1) combine like terms (k)
0 = 7k
k = 0/7 = 0
zero divided by any numbers will be zero
2) combine the like terms (the constant of -4 + 1)
9 = 6x - 3
add 3 to both sides
12 = 6x
x=2
3) -3+3=0
-4=v
4) 4+3=7
8=k+7
k=1
5)x-5x = -4x
16= -4x
x = -4
Answer: Option 'c' is correct.
Step-by-step explanation:
Since we have given that
On producing 150 units, its average total cost = $24.50
We need to find the total cost.
As we know that
![Average\ cost=\dfrac{Total\ cost}{No.\ of\ units}\\\\total\ cost=Average\ cost\times No.\ of\ units\\\\total\ cost=24.50\times 150\\\\total\ cost=\$3675](https://tex.z-dn.net/?f=Average%5C%20cost%3D%5Cdfrac%7BTotal%5C%20cost%7D%7BNo.%5C%20of%5C%20units%7D%5C%5C%5C%5Ctotal%5C%20cost%3DAverage%5C%20cost%5Ctimes%20No.%5C%20of%5C%20units%5C%5C%5C%5Ctotal%5C%20cost%3D24.50%5Ctimes%20150%5C%5C%5C%5Ctotal%5C%20cost%3D%5C%243675)
Hence, total cost is $3675.00.
Therefore, Option 'c' is correct.
The height of the ladder on the building is 19.77 feet
<h3>How high does the ladder reach on the building?</h3>
Represent the height of the ladder on the building with h
So, the given parameters are:
Angle, x = 64 degrees
Length of ladder, l = 22 feet
The height of the ladder on the building is calculated using
sin(x) = h/l
Substitute the known values in the above equation
sin(64) = h/22
Multiply both sides by 22
h = 22 * sin(64)
Evaluate the product
h = 19.77
Hence, the height of the ladder on the building is 19.77 feet
Read more about elevation angles at
brainly.com/question/19594654
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