Remark
The general formula is fraction * solid food = amount
Total amount = 1/2 * 3 oz + 3/4 * 3 oz + 1/3 * 2 oz
Total amount = 3/2 oz + (9/4) oz + 2/3 oz
The lowest common denominator of 2 4 and 3 = 12
Total amount = 3*6/2*6 + 9*3/4*3 + 2*4/3*4
Total amount = 18/12 + 27/12 + 8/12
Total amount = 53/12 = 4 5/12 <<< Answer oz of food.
4.42 oz of food <<<< Answer
Answer: Dr. Bolton was born in 1926.
Work:
Let x be the thousands digit. So, you will have the tens digit be 2x, the ones digit be 6x, and the hundreds digit be 9x. Now, let's try x as 1. Then, you will have the thousands digit be 1, the tens digit be 2, the ones digit be 6, and the hundreds digit be 9. Hope it helps!
The same applies to this one as well...we have a fraction of C/3 and the whole fraction has the exponent of -2.
C^-2 / 3^-2 = C^-2 / 9....we can't have a negative exponent in the numerator, so we send it to the bottom and make it a positive...
9 / C^2
Answer:
Step-by-step explanation:
Part C: (Explanation with steps)
Let the length of the swimming pool = l feet
And width of the pool = w feet
Perimeter of the pool = 2(l + w) feet
Since, perimeter of the pool = 8 feet
2(l + w) = 80
l + w = 40
l = (80 - w) -------(1)
Area of the pool = Length × width
A(w) = l × w
By substituting the value of l from equation (1)
A(w) = (80 - w) × w
A(w) = 80w - w²
To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.
A'(w) = 80 - 2w
(80 - 2w) = 0
w = 
w = 40 feet
Therefore, for width (w) = 40 feet area of the pool will be maximum.
From equation (1),
l = 80 - 40
l = 40 feet
Therefore, maximum area of the pool = l × w
= 40 × 40
= 1600 square feet
Part A:
Function representing area of the pool,
A(w) = -w² + 80w
Part B:
Maximum area of the surface of the pool = 1600 square feet
Correct answers:
1. There is no value of X that will make the equation true
2. The equation is an identity
4. There are infinite many solutions
5. The equation a contradiction