There is surely a typo in there somewhere as reading it gave me a headache :D
I believe it was intended to say that a pound of peanuts is $3.5 and a pound of covered peanuts is $2.75. Then we are to make a 12 pound mixture worth $3 a pound.
Let p be the pounds of peanuts and c be the pound of chocolate covered peanuts. Then:
(2.75p+3.5c)/12=3, given that p+c=12, c=12-p, making the equation become:
(2.75p+3.5(12-p)/12=3, multiply both sides by 12
2.75p+42-3.5p=36 combine like terms on left side
-0.75p+42=36 subtract 42 from both sides
-0.75p=-6 divide both sides by -0.75
p=8 lb, since c=12-p
c=4 lb
So the brothers should mix 8 pounds of regular peanuts with 4 pounds of chocolate covered peanuts to produce a 12 pound mixture worth $3 per pound.
Well, we know that there are 2 cities. The original map is having 1 inch represent 20 miles. The cities are 7 inches apart. First off, you need to know how far apart in MILES they are.
20*7=140, so the cities are 7 inches apart, or 140 miles.
So, you want to make an identical map, but you want your measurements to be a bit more spaced. we know YOUR map will have every 3 inches representing 35 miles, but we need to know how far apart in inches will 140 miles be.
Well, we simply take 140 and divide it by 35 then!
140/35=4
Wait, your not done yet, The 4 only represents how many "35 mile" increments you need to get to 140. This means the number representing inches also has to be multiplied by this 4 to get your final answer.
3*4=12
This means on YOUR map, the 2 cities will be 12 inches apart.
~Hope this helps!
#2 is answer 4, #3 is answer 3, #4 is answer 4. The answer to #5 is 6xy if it is a possibility.
Standard error for a sample proportion, p = 0.8, n = 1200
Answer: m = 2
The formula for slope can be found by finding the difference in y between two values divided by the difference in x between the same two values. In this case, you would subtract 4 from 8 and 2 from 4, to get 4/2, or 2. The slope is represented by the variable m, so m = 2.
