The answer is all of the students are members of the frequent visitor program.
Let x be the number of students that are members of the frequent visitor program.
Let y be the number of students that are not members of the frequent visitor program.
There are in total 19 students: x + y = 19
x students will pay $11, y students will pay $13 for the ticket. Totally, it will be $209: 11x + 13y = 209
Now, we have the system of two equations:
x + y = 19
11x + 13y = 209
____________
Use the method of substitution:
x + y = 19
⇒ x = 19 - y
____________
11(19-y) + 13y = 209
11·19 - 11·y + 13y = 209
209 - 11y + 13y = 209
____________
Rearange:
13y - 11y = 209 - 209
2y = 0
⇒ y = 0
Since y = 0, x = 19:
x + y = 19
x + 0 = 19
x = 19
This means that all of the students in the group are members of the frequent visitor program.
Answer:
If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar. the remaining sets of angles will be congruent and the remaining corresponding sides will be in proportion.
hopes this helps
Step-by-step explanation:
Answer:
<u>Question 1:</u> The answer is<em> "He could ask each person in his class who is the tallest person in the class."</em>
<u>Question 2:</u> The mode is <em>56.</em>
Step-by-step explanation:
Explanation 1: A statistical question is a question that can be answered by <em>collecting data that varies</em>. For example,<em> “How old am I?"</em> is <em>not </em>a statistical question, but <em>“How old are the students in my school?” </em>is a statistical question. Therefore, when we look at the options, <em>the second option is the best.</em>
Explanation 2: To find the mode we have to find <em>which number is most frequent</em> through out the set. When we look at the numbers, there are 3 numbers that have <em>56</em>. Therefore, <em>56 is the mode. </em>
The circumference is 9. Hope this helps :)
Answer:
10 and 10
10 and 5
10 and 3
5 and 3
3 and 5
Step-by-step explanation:
