Answer:
193%
Step-by-step explanation:
40.2 - 13.7 = 26.5
26.5 ÷ 13.7 = 1.93
1.93 = 193%
Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
3/4 feet
You can set this up as an equation and solve
The perimeter of the given circle is 25.1 square cm.
Step-by-step explanation:
- From the given diagram, the radius of the given circle is 4 cm.
- The perimeter of any given circle is calculated by multiplying 2π with the radius. The radius of this circle is 4 cm and it says π = 3.142
- The Perimeter for the given circle = 2π × r = 2 × 3.142 × 4 cm = 6.284 × 4 cm = 25.136 cm. Rounding this off to one decimal 25.136 square cm, the perimeter equals 25.1 square cm.
Answer:
The linear cost function is 
dollar.
Step-by-step explanation:
Given : A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L.
To find : Write a linear cost function for the situation ?
Solution :
Cost function is defined as sum of marginal cost and fixed cost.
Let x be the number of hours i.e. time for which parking cost.
A parking garage charges 4 dollars plus 65 cents per half-hour.
The fixed price is $4.
Marginal cost is 65 cents per half-hour.
Converting cents into dollar,
1 cent = 0.01 dollar
65 cent = 0.65 dollar
The cost of 
hour = $0.65
The cost of x hours = 
So, marginal cost is $1.3x.
Cost function is defined as
dollar.
Therefore, The linear cost function is dollar where x is the number of hours.
