5x4=the amount of change. His total change was $20
I’m not sure the answer but go into a webpage called Desmos and it will show you
Answer:
12:00 am midnight
Step-by-step explanation:
Given;
I can read a 336-page book in 6 hours.
My rate r1 = 336/6 pages per hour = 56 pages per hour
Jayne can read a 144-page book in 3 hours.
Jayne rate r2 = 144/3 = 48 pages per hour
If I start reading a 5000-page book at noon and Jayne starts reading the same book at 10 AM
Taking 10 am as the reference time.
Let x represent the time from 10 am at which they would both be on the same page.
For me;
Since i started by noon; 2 hours after 10 am
Time t1 = x-2
For Jayne;
She started by 10 am
Time t2 = x
For them to be on the same page they must have read the same number of pages;
Number of pages read = rate × time
r1(t1) = r2(t2)
Substituting the values;
56(x-2) = 48(x)
56x - 112 = 48x
x(56-48) = 112
x = 112/(56-48)
x = 14 hours
Since 10 am is the reference, the time would be;
=10 am + x = 10 am + 14 hours
= 24:00
= 12:00 am midnight
1) Parallel lines have equal slopes.
We need to find the slope of the given line by solving for y.
5x - 15y = 30
-15y = -5x + 30
y = (1/3)x - 2
The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.
2) Line 1 has slope 2/3.
Line 2 has slope 2/3.
3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.
4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.
y - 0 = (2/5)(x - 5)
y = 2/5 x - 2
5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.
Slope of perpendicular line is 1/3.
Answer:
Y=3x-1
Step-by-step explanation:
Let x =1 then ,Y=(3×1)-1=2
Let x=2 then, Y=(3×2)-1=5
Let x=3 then Y=(3×3)-1=8
Let x=0 then Y=(3×0)-1=-1
