Answer:
Part A) Nancy can arrange the posters in 4 ways
Part B) Nancy can arrange the posters in 2 ways
Step-by-step explanation:
<u><em>The complete question is</em></u>
Nancy has 10 movie posters. She wants to hang them on a wall in equals rows.
A) Find all the ways that she can arrange the posters.
B) How would the factor pairs change if Nancy had only 5 posters to arrange?
Part A) Find all the ways that she can arrange the posters.
we know that
The factors of 10 are
1x10 -----> 1 row of 10 posters
2x5 -----> 2 rows of 5 posters
5x2 -----> 5 rows of 2 posters
10x1 -----> 10 rows of 1 poster
therefore
Nancy can arrange the posters in 4 ways
Part B) How would the factor pairs change if Nancy had only 5 posters to arrange?
we know that
if Nancy had only 5 posters to arrange
then
The factors of 5 are
1x5 -----> 1 row of 5 posters
5x1 -----> 5 rows of 1 poster
therefore
Nancy can arrange the posters in 2 ways
Answer:
(C) x^3+11x^2+34x+24
Step-by-step explanation:
The volume of a rectangular prism is V=lwh
x+4=L
x+1=W
x+6=H
Thus:
(x+4)(x+1)(x+6)
(x^2+5x+4)(x+6)
x^3+5x^2+4x+6x^2+30x+24
x^3+11x^2+34x+24
Therefore, the correct answer is (C) x^3+11x^2+34x+24
When adding or subtracting fractions that have a common denominator, simply subtract the numerators (top numbers) by each other. However, to subtract fractions with unlike denominators, find the LCD or "least common denominator". That is the lowest number both denominators can equate to.
![\frac{13}{18} - \frac{5}{8} [tex] (\frac{13}{18})( \frac{4}{1} ) - (\frac{5}{8})( \frac{9}{1}) ](https://tex.z-dn.net/?f=%20%5Cfrac%7B13%7D%7B18%7D%20-%20%5Cfrac%7B5%7D%7B8%7D%20%5Btex%5D%20%28%5Cfrac%7B13%7D%7B18%7D%29%28%20%5Cfrac%7B4%7D%7B1%7D%20%29%20-%20%28%5Cfrac%7B5%7D%7B8%7D%29%28%20%5Cfrac%7B9%7D%7B1%7D%29%20%20%0A)
[/tex]
The LCD of 8 and 18 is 72.
Some of the multiples of 8 are: 8, 16, 24, 32, 64, 72, 80, 88, 96, 104...
The multiples of 18 are: 18, 36, 54, 72, 90
The lowest common multiple is 72.
Multiply each fraction by what it takes for the denominator to equal 72.
8 multiplied by what number = 72
8*9=72
18 multiplied by what = 72
18*4=72
Multiply both fractions respectively
13/18*4= 13*4/72
5/8*9 = 5*9/72
52/72 - 45/72
Simplify
52-45/72
7/72
This being the answer for the original expression
I hope this helps! If you have any question feel free to ask!
Answer:Dave
Step-by-step explanation:
If we are thinking logically, since dave arrived at the pond first even though they left at the same time, he should go farther because he is more athletic based on the information.