Tristan has 45 apples and 20 pears tgat he is putting into gift baskets.Each basket will have the same number of apples and pear
2 answers:
Answer: 5
Step-by-step explanation:
Given : Tristan has 45 apples and 20 pears that he is putting into gift baskets.
Each basket will have the same number of apples and pears.
To find the greatest number of baskets Tristan can make with no fruit left over, we find the greatest common factor if 45 and 20.
For that first we write the prime factorization of 45 and 20 :-
Greatest common factor of 45 and 20 (GCF) = 5
Hence , the greatest number of baskets Tristan can make with no fruit left over =5
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The length of the rectangular delivery box must be equal to 4 inches.
Let the length of the box be L.
Let the width of the box be W.
Let the height of the box be H.
<u>Given the following data:</u>
- Volume of box = 224 cubic inches.
Translating the word problem into an algebraic expression;
......equation 1
......equation 2.
Mathematically, the volume of a rectangular solid is given by the formula;
.....equation 3.
Substituting the values into equation, we have;
Rearranging the polynomial, we have;
We would apply the remainder theorem to solve the polynomial.
According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.
When x = 3
We would try with 4;
Therefore, 4 is one of its roots.
Hence, the length of the rectangular delivery box must be equal to 4 inches.
Find more information on polynomial here: brainly.com/question/10689855