Answer:
Let d = the one-way trip
Write a time equation: time = dist/speed
time out + time back = 4.5 hrs
d/80 + d/100 = 4.5
Multiply by 400 to clear the denominators
400*d/80 + 400*d/100 = 400(4.5)
Cancel the denominators
5d + 4d = 1800
d = 1800/9
d = 200 miles max distance
Answer:
below
Step-by-step explanation:
5x - 3y > 30
-3y > -5x + 30 divide by negative switches the inequality
y < 5/3x - 10 y is less than 5/3x - 10 so shade below the line
Answer:
And rounded up we have that n=1068
Step-by-step explanation:
We have the following info given:
the confidence level desired
represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
(a)
The confidence level is 95% or 0.95, the significance is 
and the critical value for this case using the normal standard distribution would be 
Since we don't have prior information we can use 
as an unbiased estimator
Also we know that 
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Let the number of weeks to have same amount = x Then:-
1200 + 40x = 700 + 50x
1200 - 700 = 50x - 40x
10x = 500
x = 50
answer is 50 weeks
X both sides by 11
=6x+2=-22
-2 from both sides
=6x=-24
both sides /6
=x=-3
