If a, b and c are the lengths of the sides of a triangle then
if a ≤ b ≤ c, then a + b > c.
1. a ≤ 3 ≤ 8 then a + 3 > 8 → a > 8 - 3 → a > 5 FALSE, because a ≤ 3.
2. 3 ≤ a ≤ 8 then 3 + a > 8 → a > 5 therefore 5 < a ≤ 8
3. 3 ≤ 8 ≤ a then 3 + 8 > a → 11 > a → a < 11 therefore 8 ≤ a < 11.
<h3>Answer: 5 < a < 11 → S = (5, 11)</h3>
Answer: 35 seventh graders
Step-by-step explanation:
The simplified ratio is 4:7 sixth graders to seventh graders
The number of sixth-graders is 5 times the number shown in the ratio of attendees (20/4 = 5). Thus, the number of 7th graders must also be 5 times greater than the simplified ratio.
7*5 = 35, thus there are 35 seventh graders in the club
Answer:
B
Step-by-step explanation:
Solve
1
Multiply the numbers
1
2
−
3
⋅
3
−
2
1
2
−
9
−
2
2
Add the numbers
Solution:
1
x/9-7 is the answer to this problem