Distributive, carry the number 2 to the x and the y leaving 2x+2y
The factor of the given expression 3n² + 15np is 3n(n+5p).
<h3>What is factorization?</h3>
Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Given that the expression is 3n² + 15np. The factor of the expression will be calculated as,
E = 3n² + 15np
Take 3n common from the expression,
E = 3n ( n + 3p)
Therefore, the factor of the given expression 3n² + 15np is 3n(n+5p).
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#1) plug in -1 into the function as x so 2x-2 would be 2(-1)-2 equals what?
#2) plug in 3 into the function as t so 3/2(3)-5/2 is what?
#3) plug in -6 into the function as x so 18-(-6) is what?
#4) plug in 7 into the function as n so 0.009(7) is what?
#5) plug in 4 into the function as x so 3(4)+7 is what?
Answer:
B. 120
Step-by-step explanation:
Each ribbon is 25 yards long. Each yard is 36 inches, so the length of the ribbon is ...
(25 yd)(36 in/yd) = 900 in
This can be divided into n pieces, where n satisfies ...
22n ≤ 900
n ≤ 900/22 = 40 20/22
That is, Erika can cut 40 22-inch pieces from each 25-yard piece, and will have 20 inches left over.
From the 3 25-yard pieces, Erica can cut 3×40 = 120 pieces of ribbon that are 22 inches long.
_____
She will have 3 pieces that are 20 inches left over.
