To find the slope of a line given two points, use: (y2 - y1) / (x2 - x1)
A. (7-3) / (-1-5) = (4/-6) or -2/3
B. The slope of a line parallel to another line will be the same, so -2/3
C. The slope of a line perpendicular to another line will be the reciprocal and the sign will also change. Because the slope was -2/3, the slope of the perpendicular changes to 3/2 (positive)
Given:
Serenity picked 75% of the apples of a tree in her backyard.
She picked 30 apples.
To find:
The number of apples on the tree in the beginning.
Solution:
Let x be the number of apples on the tree in the beginning.
Serenity picked 75% of the apples of a tree in her backyard.
Number of apples picked = 75% of x
= 
= 
She picked 30 apples.
Multiply both sides by 4.
Divide both sides by 3.
Therefore, the number of apples on the tree in the beginning is 40.
Answer:
225
Step-by-step explanation:
Mary = 3x (3 times Carey)
Carey = x
Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)
3x + x + x/2 = 405
4x + x/2 = 405
8x/2 + x/2 (treat these as fractions) = 405
9x/2 = 405
9x = 810 (cross multiply)
x = 90
Mary = 3(90) 270
Carey = 90
Barry = 90/2 45
Mary - Barry
270 - 45 = 225
Hope this helps! :)
Answer:
25 and 35
Step-by-step explanation:
Let the numbers be 5x and 7x
(5x+5)/(7x+5)=3/4
4(5x+5)=3(7x+5)
20x+20=21x +15
20-15=21x-20x
5=x
So,the numbers will be
5x=5*5 =25
7x=7*5=35
Answer:
X = 5
Step-by-step explanation:
28 = 7x + 3 - 2x
28 = 5x + 3
28 - 3 = 5x + 3 - 3
25 = 5x
25/5 = 5x/5
X = 5
