<span>26
is to 74 and 80 is to X
Since this is a ratio, let’s find the value of X
=> 26 : 74 = 80 : x
=> 74 x 80 = 5 920 / 26
=> 227.7
Let’s check if we have the correct answer.
=> 227.7 * 26
= 5920 / 74 = 80
Or let’s check the other way around
=> 5920 / 80 = 74
Thus our answer is correct</span>
Answer:
6 tickets were purchased at $47
8 tickets were purchased at $57
Step-by-step explanation:
Let the tickets purchased at $47 be x
Let the tickets purchased at $57 be y
We can form an equation from the question given which will be:
x + y = 14 ....... i
47x + 57y = 738 ........ ii
From equation i
x = 14 - y ........ iii
Substitute iii into ii
47x + 57y = 738
47(14-y) + 57y = 738
658 - 47y + 57y = 738
Collect like terms
-47y + 57y = 738 - 658
10y = 80
y = 80/10
y = 8
8 tickets were purchased at $57
Note that from i
x + y = 14
x + 8 = 14
x = 14 - 8
x = 6
6 tickets were purchased at $47
Answer:
Step-by-step explanation:
Given
Point: (6,3)
Required
Translate 2 units down and 3 units left
Taking the translation 1 after other
When a function is translated down, only the y axis is affected;
2 units down implies that, 2 be subtracted from the y value.
The function becomes
3 units right implies that, 3 be added tothe x value.
The function becomes
Hence;
Option D answers the question
Answer: the system of equations that represents this situation are
12x + 6y = 180
x = 2y
Step-by-step explanation:
Let x represent the number of hardcover books that were sold in a day.
Let y represent the number of paperback books that were sold in a day.
The discount bookstore sells hardcover books for $12 and paperback books for $6. The total sales that day were $180. It means that
12x + 6y = 180
The number of hardcover books sold that day was twice the number of paperback books. It means that
x = 2y
