The first thing to note is since one gallon= 60 miles then 1/2 gallon= 30 miles, now I know 1/2 is not an answer but it is easiest to decrease in moderate amounts. 1/2 gallon= 48 Km so we are close, and 1/2=0.5 so if we brought it down to 0.42 we would have 25.2 miles and 25.2 miles = 40.32. The question wants to know the approximate number and 40.32 is the closest we are going to get so the answer is 0.42
So basycilly slope intercept form is y=mx+b where m=slope and b=y intercept
slope=-1
subsiute
y=-1x+b
y=-x+b
so we are given the point (-3,2)
x=-3 and y=2 is one solution
subsitue and solve for b
2=-(-3)+b
2=3+b
subtract 3 from both sides
-1=b
the slopt inercetp form is y=-x-1
Answer:
The total amount Alex spent is $ 9
Step-by-step explanation:
The given parameters are;
The amount Alex spends on food = 2/3 of his paycheck
The amount Alex spends on coffee = $3
Therefore, we have;
Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p
The amount Alex spends on coffee = 1/3 of his paycheck
Therefore, we have;
1/3 × p = $3
p = 3 × $3 = $9
The total amount Alex spent = $ 9
The amount Alex spends on food = 2/3 × $9 = $6.
See how the arithmetic sequence is made:
5, 5+4=9, 9+4=13, 13+4=17, ...
So the 21th term will be:
5( first term)+20( n-1 term)•4= 85
And the sum of the first 21 is :
21(5+85)/2= 21•45= 945
