The HCF for the three sets of algebraic expression is 32b.
<h3>HCF of algebraic expression</h3>
The HCF of an algebraic expression is the highest common factor present in between given two or more numbers or mathematical expression.
we shall derive the HCF of the algebraic expression by first expressing them as products of the their prime factors as follows;
32a × 5b × 4 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × a × b
24a × 6b × 6 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × a × b
48a × 4b × 5 = 2 × 2 × 2 × 2 × 2 × 2 × 5 × b
Then;
32a × 5b × 4 = (2^5) × b× 2 × 2 × 5 × a
24a × 6b × 6 = (2^5) × b × 3 × 3 × a
48a × 4b × 5 = (2^5) × b × 2 × 5
Hence, the HCF = (2^5) × b
HCF = 32 × b
HCF = 32b
Therefore, we can say that the HCF of the given algebraic expressions is 32b.
Learn more about HCF of algebraic expressions here: brainly.com/question/4344214
#SPJ1
Answer:
A≈314.16m²
I hope that this works for you!
<em><u>Question:</u></em>
Hector has a floor plan showing his new house. On the floor plan, his bedroom is 3 inches wide and 3 1/2 inches long. The scale of the floor plan is 1/4 inch = 1 foot. What is the actual length of Hector’s room?
<em><u>Answer:</u></em>
The actual length of Hector room is 14 foot
<em><u>Solution:</u></em>
Given that, On the floor plan, his bedroom is 3 inches wide and 
inches long
<em><u>The scale of floor plan is given as:</u></em>
Therefore,
To find: Actual length of floor
From given question,
Converting the mixed fraction to improper fraction,
Since, 1 inch = 4 foot
Thus actual length of Hector room is 14 foot
1/6÷4/1
do reciprocal
1/6×1/4
1×1=1
6×4=24
maria receives 1/24 a pound of silver coins
hope this helps
