Answer:
Step-by-step explanation:
.
Answer:31/40
Step-by-step explanation:
To add you have to have a common denominator. To get that you can multiply each fraction by one in different ways. 2/5 *8/8= 16/40 and 3/8* 5/5= 15/40 and then add those two to give you 31/40.
Answer:
Step-by-step explanation:
Given inequality:
We need to solve the given inequality for solutions of 
.
In order to solve for the inequality, we will isolate in one side of the in-equation.
We have,
Subtracting both sides by 7.
Thus, the solution of the given inequality is all real numbers greater than 4.
The solution in interval form can be written as (4,∞).
The graph for the inequality is shown below.
Answer: 74 adult tickets were sold on Wednesday.
Step-by-step explanation:
Let x represent the number of child admission tickets sold on Wednesday.
Let y represent the number of adult admission tickets sold on Wednesday.
On Wednesday, 128 tickets were sold. It means that
x + y = 128
At the movie theatre, child admission is $6.40 and adult admission is $9.70. The total ticket sales on Wednesday was $1063.40. It means that
6.4x + 9.7y = 1063.4- - - - - - - - - - 1
Substituting x = 128 - y into equation 1, it becomes
6.4(128 - y) + 9.7y = 1063.4
819.2 - 6.4y + 9.7y = 1063.4
- 6.4y + 9.7y = 1063.4 - 819.2
3.3y = 244.2
y = 244.2/3.3
y = 74
x = 128 - y = 128 - 74
x = 54
For two line segments to be parallel, their slopes must be equal.
Therefore slope of AB must be equal to slope of CD
which is, option 3
(y4-y3)/(x4-x3)=(y2-y1)/(x2-x1)
