Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 40914: It takes Jim 6 hours longer to fly the 1125 miles from Montreal, Canada to Birmingham, Alabama, in his Piper Cub than it does in his jet. If his average speed in the jet is 3 times that in the Piper Cub, What is the average speed of the Piper Cub? __mph
Click here to see answer by Paul(988)

Question 40931: How do I evaluate the power of i in i ^97 and i^-34? Please give an explanation. Thanks.
Click here to see answer by venugopalramana(3286)

Question 40950: 4x^2-12x+9
Click here to see answer by checkley71(8405)

Question 40945: x^3+5x^2
Click here to see answer by fractalier(1804)

Question 40949: 2x^2+2xy+x+y
Click here to see answer by fractalier(1804)

Question 40949: 2x^2+2xy+x+y
Click here to see answer by tutorcecilia(2042)

Question 40947: 18x^2+12xy-3rx-2ry
Click here to see answer by fractalier(1804)

Question 40947: 18x^2+12xy-3rx-2ry
Click here to see answer by stanbon(26259)

Question 40925: Find a polynomial of the lowest degree with only real coefiecients and having the given zeroes
-5i amd rad 2
Click here to see answer by fractalier(1804)

Question 40954: Divide: x^3+2x^2+x+12 / x+3
Is it x^2+x+4?
Click here to see answer by stanbon(26259)

Question 40955: Factor completely: 6z^3-27z^2+12z
Is it 3z(2z-1)(z-4)?
Click here to see answer by fractalier(1804)

Question 40956: Factor completely: 12x^3-3xy^2
Is it 3x(4x-y)(x+y)?
Click here to see answer by stanbon(26259)

Question 40956: Factor completely: 12x^3-3xy^2
Is it 3x(4x-y)(x+y)?
Click here to see answer by fractalier(1804)

Question 40959: Solve: x/5x+10 + x-3/x+2 = 7/5
I have arrived at no solution, but wondered what your answer might be.
Click here to see answer by stanbon(26259)

Question 40958: Subtract, answer in simplest form:
2/5 - y/y-2
Is it -3y-4/y-2?
Click here to see answer by fractalier(1804)

Question 40953: Divide: 45a^6b^10 / 5a^3b^2
Is it 9a^3b^8?
Click here to see answer by fractalier(1804)

Question 40952: Multiply 2m(5m-3)(4m+7)
Click here to see answer by fractalier(1804)

Question 40861: The reciprocal of 5 less than a # is 4 times the reciprocal of twice the #. find the #.
Thank you.
Click here to see answer by fractalier(1804)

Question 40866: Joe's Dairy Farm has 100 gallons of milk that is 4.6% butterfat. How much skim milk (no butterfat) should be mixed with it to make milk that is 3.2% fat?
________gallons of milk should be added.
this was answered previously as 43.75 but it when i put it into the computer lesson it said i was wrong. can someone please help me out?
Thanks soooo much!!!!!
Click here to see answer by fractalier(1804)

Question 40862: Sliced turkey cost $3.20 per pound. Roast beef cost twice as much, & ground beef cost half as much as the turkey. The science club ordered 5 pounds of each for their annual picnic. what was the total cost?
Find the price of 1.75 pounds of sliced turkey.
Thank you
Click here to see answer by fractalier(1804)

Question 40869: A solution containing 30% insecticide is to be mixed with a solution containing 50% insecticide to make 200L of a solution containing 42% insecticide. How much of the 50% Insecticide solutions should be used?
-------------------------------------------------------------------------------
A Chemist has one solution that is 60% chlorinated and another that is 40% chlorinated. How much of the first (60%) solution is needed to make a 100L solution that is 50% chlorinated?
Thanks soooo much!!!!!
Click here to see answer by fractalier(1804)

Question 40867: A chemist has one solution that is 80% acid and another solution that is 30% acid. How much of the first (80%) solution is needed to make a 400L solution that is 62% acid?
__________liters of the 80% solution is required. (I found out this answer is not 128)
How much of the second (30%) solution is needed to make a 400L solution that is 62% acid?
_____ liters of the 80% solution is required. (I found out this answer is not 272)
Thanks soooo much!!!!!
Click here to see answer by fractalier(1804)

Question 40957: Multiply -3a²b 14a³b² ———————— × ———————— 35a⁵ -9b⁴

Click here to see answer by AnlytcPhil(958)

Question 40977: (3x-2)(5x to the second power +8x-2)
Click here to see answer by fractalier(1804)

Question 40976: simplify the expression: 5y/axy^2 + 4b/bx^2y.
the answer choices are
a. 9/xy
b. (5x + 4y)/abxy
c. (5bx + 4ay)/abxy
d. (5x + 4a)/ax2y
(the answer i think it is "C") but i am not confident.
Click here to see answer by stanbon(26259)

Question 41005: what is 19/20x - 4/4x

Click here to see answer by stanbon(26259)

Question 41013: The area of rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Click here to see answer by stanbon(26259)

Question 41031: An integer minus 3 times its reciprocal equals 26/3.
What is the integer?
thank you
Click here to see answer by Nate(3495)

Question 41028: When the reciprocal of 3 times a number is subtracted from the reciprocal of the #, the result is one-sixth. find the number.
Thank you
Click here to see answer by Earlsdon(4898)

Question 41032: The Perimeter of a rectangle shaped lawn is 52 feet and the area is 144 square feet. What are the dimensions of the lawn?
isn’t it 12x12x12x12?
Thank you

Click here to see answer by Nate(3495)

Question 41026: The reciprocal of two more than a # is three times the reciprocal of the number. can some one please help me find the #?

Thanks

Click here to see answer by Nate(3495)

Question 41036: The length of a rectangle is 2 inches greater than the width. The area is 80in^2. find the length of the rectangle.
Thank you

Click here to see answer by Nate(3495)

Question 41034: A Chemist has one solution that is 60% chlorinated and another that is 40% chlorinated. How much of the first (60%) solution is needed to make a 100L solution that is 50% chlorinated?
--so i put it like this right?
--x(.60) + (100-x)(.50) = 100(.50)
.6x + 50 - .5x = 50
.1x = 100
x = 1000
100-x = -100
Is this right???
Thank you

Click here to see answer by checkley71(8405)

Question 41041: The length of a sign is 4 inches more than the width. The area is 45 square inches. Identify the length and the width of the sign.
Thank you
Click here to see answer by Nate(3495)

Question 41042: The width of a rectangle is 4 feet less than the length. The area is 320ft^2. Find the width of the rectangle.
___feet
Thank you
Click here to see answer by Nate(3495)

Question 41040: The hypotenuse of a right triangle is 4 inches long. One leg is 1 inch longer than the other. Find the length of the shorter leg. Round to the nearest tenth.
___ inches long.
Thank you

Click here to see answer by Nate(3495)

Question 41039: The hypotenuse of a right triangle is 26 feet long. One leg is 14 feet longer than the other. Find the length of the shorter leg.
___ ft long.
Thank you

Click here to see answer by Nate(3495)

Question 41037: The length of an airport is 1 mile more than twice its width. The area is 21 square miles. Identify the length and width of the airport.
Thank you

Click here to see answer by Nate(3495)

Question 41027: The speed of a freight train is 14 km/hour slower than the speed of a passenger train. The freight train travels 330 km in the same time that it takes the passenger train to travel 400 km. Find the speed of the freight train. ___km/hr
Thanks
Click here to see answer by checkley71(8405)

Question 41048: If the sides of a square are decreased by 2cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?

Click here to see answer by Nate(3495)

Question 41048: If the sides of a square are decreased by 2cm, the area is decreased by 36 cm^2. What were the dimensions of the original square?

Click here to see answer by checkley71(8405)

Question 41004: what is b+3/7 - b/7
Click here to see answer by checkley71(8405)

Question 41058: The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Click here to see answer by Nate(3495)

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