Answer:
Neither of the two advertising options meet the goal.
Step-by-step explanation:
Every $4,000 spent on cable TV will reach 160 fans.
Therefore, the goal of reaching 200000 fans will be fulfilled by 
dollars i.e. $5 million which is greater than the budget of $3 million.
Now, every $2,750 spent on radio ads will reach 125 fans.
Therefore, the goal of reaching 200000 fans will be fulfilled by 
dollars i.e. $4.5 million which is again greater than the budget of $3 million.
Therefore, neither of the two advertising options meet the goal. (Answer)
Let the first integer be x. Then the next consecutive integer is x+1.
Translating the word problem into symbols, x(x+1)-20(x+1) = 442.
Then x^2 + x - 20x - 20 = 442
or x^2 - 19x - 462 = 0
Solve by completing the square:
x^2 - 19x + 90.25 - 90.25 - 462 = 0
(x-9.5)^2 - 552.25 = 0
Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33
The two consecutive integers are 33 and 34.
Check: (33)(34)-20(34) = 442 (as expected).
1 ft = 12 inches....so 10 ft = (10 * 12) = 120 inches
each strip of wall paper is 20 inches...
so 120/20 = 6 strips of wall paper are required <==
convert yards to feet and minutes to seconds
1yard=3ft
16.8yards times 3ft/1yd=50.4ft
1minute=60 seconds
12minutes times 60seconds/1min=720seconds
feet per second=50.4ft/720sec=0.07ft/sec
answer is 0.07ft/sec
The answer is 1 gallon.
Miles per gallon(mpg) is computed by dividing the distance traveled by the how many gallons used. So you can derive a formula for how many gallons you would use given the mpg. You will end up with:
The problem asks for how many gallons of gas she will safe in a five-day work work week. So first you need to compute how many miles that would be.
54 miles/day x 5days =
270 milesSo in a five day work week, she will travel 270 miles.
Now to see how much gas she will save, compute how many gallons she will use up for each car, given the mpg of each and find the difference.
First model:30 mpg
This means that with the first model, she will have used up
9 gallons in a 5-day work week.
Second model: 27 mpg
This means that with the second model, she will have used up 10g in a 5-day work week.
Now for the last bit. How much will she save? You can get that by getting the difference of how many gallons each car would have used up.
10gallons - 9gallons = 1gSo she would have saved
1 gallon of gas if she buys the first car instead of the second.
