<span>Least Common Denominator (LCD) is the least number which all the denominators can divide without remainder. The given denominators are 2, 16 and 8. The least number 2, 16 and 8 will divide without remainder is 16. Therefore, to express the fractions 1/2, 3/12, and 7/8 with an LCD, we multiply both the numerator and the denominator of each of the fractions with a common factor that makes the denominator to be 16. Therefore, 1/2, 3/16 and 7/8 expressed with an LCD are (1 x 8) / (2 x 8), 3/16, (7 x 2) / (8 x 2) = 8/16, 3/16, and 14/16.</span>
Answer:
Daniel will save $1.18
Step-by-step explanation:
First, find the cost of the name-brand flour with the coupon:
Subtract 1.44 from the original price of 9.12:
9.12 - 1.44
= 7.68
So, the price of the name-brand flour with the coupon is $7.68
Now, find how much he will save by finding the difference between this price and the price of the store brand flour:
8.86 - 7.68
= 1.18
So, Daniel will save $1.18
It would be a direct variation.
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:

Area 2:





Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
The total amount of cash money that Korey have is the summation of his savings and his inheritance which is equal to Korey cash = $8500 + $25,000.
To identify the amount needed to be funded by loans or investors, we need to know first the total of expenses plus set-up plus operation expenses and other expenses to operate the bookstore subtracted by his savings.
Thus, let "AL" be the amount needed through loans while letting "TE" for total expenses.
AL=TE-($8500+$25000)
AL=TE-$33,500
This is the equation needed to determine the amount needed.