Step-by-step explanation:
Write the prime factorization of each term:
9r⁵s = 3²·r⁵·s
6r⁴s² = 2·3·r⁴·s²
12r²s = 2²·3·r²·s
The greatest common factor is the product of the common factors at the lowest exponents.
All three terms are multiples of 3, r, and s.
The lowest exponent of 3 is 1. The lowest exponent of r is 2. The lowest exponent of s is 1.
GCF = 3r²s
Factor from the polynomial.
9r⁵s + 6r⁴s² − 12r²s
3r²s (3r³ + 2r²s − 4)
Your answer would be, <span>No, it is not a valid inference because his classmates do not make up a random sample of the students in the school</span>
Answer:
Option 3 11/9
9
1
Step-by-step explanation:
Given : In 3/4 pound of a spice mix, there is 5/6 cup of cinnamon.
To find : How much cinnamon does the spice mix contain per pound?
Solution :
In \frac{3}{4}
4
3
pounds of a spice mix have \frac{5}{6}
6
5
cup of cinnamon.
So, In In 1 pounds of a spice mix have \frac{\frac{5}{6}}{\frac{3}{4}}
4
3
6
5
cup of cinnamon.
Now, we solve the fraction
=\frac{\frac{5}{6}}{\frac{3}{4}}=
4
3
6
5
=\frac{5\times 4}{6\times 3}=
6×3
5×4
=\frac{10}{9}=
9
10
=1\frac{1}{9}=1
9
1
Therefore, Option 3 is correct.
Cinnamon does the spice mix contain per pound is =1\frac{1}{9}=1
9
1
cup.