Answer:
6 book purchases.
Step-by-step explanation:
As the bookstore sells frequent buyers discount cards at $ 12, which make the books that usually cost $ 9 cost $ 7, to determine from how many books a card-holder and a common buyer will spend the same amount of money is necessary perform the following calculation:
9 - 7 = 2
12/2 = 6
Therefore, after purchasing 6 books, both categories of buyers will have spent the same amount of money. This is verified with the following calculation:
Card holder = 12 + 7 x 6 = 54
Non-card holder = 9 x 6 = 54
Answer:
31 scientific calculators
54 graphing calculators
Step-by-step explanation:
X = number of $15 calculators
Y = number of $67 calculators
X+Y = 85 then X = 85-Y
15X+67Y = 4083
substitute for X
15(85-Y)+67Y = 4083
1275 - 15Y + 67Y = 4083
reduce
52Y = 2808
Y = 54
X = 31
Given data:
The given equationn of the circle is (x + 1)^2 + (y - 5)^2 = 16.
The standard equation of the circle is,

The given equation can eb written as,

Compare the above equation with standard equation.

Thus, the coordinate of centre is (-1, 5) and radius is 4.
Answer:
positive
Step-by-step explanation:
5/6 divided by 3/4
First you do KCF (Keep. Change. Flip.)
Keeping the 5/6.
Changing the 3/4 to 4/3
And the new operation is multiplication as it’s the inverse of division.
So this is how it looks like:
5/6 • 4/3
Now, you can’t cross simplify since none of them can’t be reduced.
So the product of 5/6 and 4/3 is 20/18. And the mixed number is 1 2/8.
Simplifying the mixed number is 1 1/4.
I hope this helped.