Answer: 19 cupcakes and 37 cookies were sold.
Step-by-step explanation:
Let x represent the number of cupcakes that Jesse sold yesterday.
Let y represent the number of cookies that Jesse sold yesterday.
If he sold 56 cupcakes and cookies combined, it means that
x + y = 56
Each cupcake sold for $1.50 and each cookie sold for $0.25. At the end of the day, Jesse had sold $37.75 worth of cookies and cupcakes. This means that
1.5x + 0.25y = 37.75 - - - - - - - - - - -1
Substituting x = 56 - y into equation 1, it becomes
1.5(56 - y) + 0.25y = 37.75
84 - 1.5y + 0.25y = 37.75
- 1.5y + 0.25y = 37.75 - 84
- 1.25y = - 46.25
y = - 46.25/ - 1.25
y = 37
x = 56 - y = 56 - 37
x = 19
First we must convert these mixed numbers to improper fractions:


So then we need the product of these two numbers. That means to multiply:

But then we need the value of half of this product. So then let's multiply by one-half:

Then we can convert this from an improper fraction to a mixed number:

And so this number is half of the product of the initial two numbers.
It is 39^2 or 1521, not sure which one you want.
1 yard is = to 3 feet.
20 yards = to 20 X 3 feet
your answer is 60 feet
Answer:
Option (b) is correct.

Step-by-step explanation:
Given: 
We have too choose the correct simplification for the given statement.
Consider 
Using property of exponents,
We have,

Again applying property of exponents 
We have,

Simplify, we have,

we get,

Thus, 
Option (b) is correct.