Answer:
8/9
Step-by-step explanation:
1 blue, 2 yellow, 7 red, 6 green, and 2 purple marbles = 18 marbles
The number that are not yellow = total - yellow
P( not yellow) = number that are not yellow / total
= (18-2) / 18
= 16/18
=8/9
5. Slope = 3, Y-Intercept=4
6. Slope = -2, Y-Intercept=8
Answer:
Step-by-step explanation:
-2x + 3y – 4z = 8 ----------------(I)
5x – 3y + 5z = -8 -----------------(II)
7x – 3y + 3z = 8 ------------------(III)
Add equation (I) & (II) and thus y will be eliminated
(I) -2x + 3y – 4z = 8
(II) <u>5x – 3y + 5z = -8</u> {Add}
3x + z = 0 ------------------------(A)
Multiply equation (II) by (-1) and then add with equation (III). Thus y will be eliminated.
(II) * (-1) -5x + 3y - 5z = +8
<u>7x – 3y + 3z = 8</u> {Add}
2x -2z = 16 ---------------(B)
Multiply equation (A) by 2 and then add. Thus z will be eliminated and we will get the value of x
(A) * 2 6x + 2z = 0
(B) <u>2x - 2z = 16</u> {Add}
8x = 16
Divide both sides by 8
x = 16/8
x = 2
Plugin x = 2 in equation (A)
3x + z = 0
3*2 + z = 0
6 + z = 0
z = -6
Plug in x = 2 and z = - 6 in equation (I)
-2x +3y - 4z = 8
-2*2 + 3y - 4*(-6) = 8
-4 + 3y + 24 = 8
3y + 20 = 8
3y = 8 - 20
3y = -12
y = -12/3
y = -4
<u />
<u>
</u>
Answer:
480
Step-by-step explanation:
Important Information:
A Book Has 12 Chapters.
The Mean length of the chapters is 40 pages.
Question to Answer:
How many total pages are there in the 12 chapters?
Explanation/Solution:
Let's assume that the total number of pages in the book is "x" pages.
To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.
=40
Multiply both sides by 12...
x = 480
Hence, The total number of pages in the 12 chapters is 480.
Answer:

Step-by-step explanation:
-Amy walks a distance of 7/8 mile
-Tom walks a distance of 4/8 mile.
#We immediately notice that Amy has walked a longer distance than Tom.
We subtract Tom's distance from Amy's to find how much further Amy walked;

Hence, Amy has walked 3/8 miles further than Tom has.