Answer:
234 books.
Step-by-step explanation:
You need to set up a proportion. Be careful to note what it looks like and the explanation that follows.
9 books 13 magazines
======= = ===========
x 572 - x Cross multiply
What you want is the number of book sales from the proportion.
However all you have is the ratio of books to magazines. So you have to set up the total sales to magazines, which is a bit awkward. 572 - x is the number of magazine sales.
9*(572 - x) = 13x Remove the brackets on the left.
5148- 9x = 13x Add 9x to both sides.
5148 = 13x + 9x Transpose and add the right.
22x = 5148 Divide by 22
x = 5148/22
x = 234
234 books were sold.
Answer:
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
Step-by-step explanation:
Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.
Therefore:
t = m - 1/2; m = t + 1/2
Also, b = 2t - 1/2
The total of the three shelves is 20 feet, therefore:
t + m + b = 20
Substituting:
t + t + 1/2 + 2t - 1/2 = 20
4t = 20
t = 20/4
t = 5 feet
m = t + 1/2 = 5 + 1/2 = 5.5 feet
b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
B………………………………;;,………………………….
<span>A. 3(4x - 4) - 7x = 12x - 12 - 7x = 5x - 12 yes
B. -3(4x - 4) - 7x = -12x + 12 - 7x = -19x + 12 no
C. 3(-4x + 4) - 7x = -12x + 12 - 7x = -19x + 12 no
D. -3(-4x - 4) - 7x = 12x + 12 - 7x = 5x + 12 no
Answer is A.</span>
