Answer: 7(3m - 7n)
<u>Step-by-step explanation:</u>
Factor each term then see what value(s) they have in common:
21m - 49n
∧ ∧
3 · 7 · m 7 · 7 · n
Both terms have a 7 in common. What is left over after removing the 7?
21m: 7(3m)
49n: 7(7n)
GCF: 7 Leftovers: 3m <em>and</em> 7n
Factored form of expression is: 7(3m - 7n)
Answer:
15 lb
Step-by-step explanation:
let the current weight of the puppy be X, the initial weight of the puppy is 4lb or
, (6 lb less 2/3 X) .
#We equate the current weight to the initial weight to determine X:

Hence, the current weight of the puppy is 15 lb
Answer:
Mrs. Habib will have 22.25 feet of border left after she puts border around the board.
Step-by-step explanation:
You must find the perimeter of the board and subtract it from the amount of border she has to find how much she will have left after she uses it. The formula for perimeter is
, where
the length of the board, and
the width of the board. You will add those together and multiply them by 2 because there are 4 sides to a rectangle. That means this equation will look like:

Now you can just solve for the perimeter.


The perimeter is 24 feet. That means it will take 24 feet of border to cover her board. In order to find out how much she'll have left over, just subtract 24 from the total amount of border she has.
Therefore Mrs. Habib will have 22.25 feet of border left over after she covers the bulletin board.
Not 100% but all real number so D
Answer
0.63
Explanation:
Given the expression
tan 32
Using Calculator
tan 32 = 0.6248
Converting to nearest hunderdth
tan 32 = 0.63
hence tan 32 to the nearest hunderdth is 0.63