Hello from MrBillDoesMath!
Answer:
3,8
Discussion:
Let "n" and "p" be the two positive integers. Then
n = p - 5 (*)
and
np = 24 (**)
Substituting (*) in (**) gives
np = 24 => as p = n+5
n(n+5) = 24 =>
n^2 + 5n - 24 = 0 => factor polynomial (n+8)(n-3)
So n = 3 or -8 but as n is positive, n = 3 Then p = n + 5 = 8
Check:
Is n (3) 5 less than p (8). Yes
Does np = 3 *8 24. Yes
Thank you,
MrB
Rectangle diagonals are equal.
2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0
AC = 2(5a+1) = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2 <span>
</span>BD = 2(a+1) = 2(0 + 1) = 2 <span>× 1 = 2
</span>
Ansver: AC = BD = 2
From the dot plot, we have that 90.91% of the students have 5 or more vowels in their first and last names.
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The dot plot states that:
- 2 students have 4 vowels in their first and last name.
- 3 students have 5 vowels.
- 8 students have 6 vowels.
- 9 students have 7 vowels.
Then:
- Total of 2 + 3 + 8 + 9 = 22 students.
- 3 + 8 + 9 = 20 have or more vowels.

90.91% of the students have 5 or more vowels in their first and last names.
A similar problem is given at brainly.com/question/14354536