• What is 1 third of 2.5 litres of paint?

    17 answers · 1 day ago
  • How many yards = .3 miles?

    13 answers · 20 hours ago
  • (4-x)/(x-5) > 1/(1-x)?

    Best answer: (4 - x)/(x - 5) > 1/(1 - x) (4 - x)(1 - x) > x - 5 4 - 5x + x^2 > x - 5 x^2 - 6x + 9 > 0 (x - 3)^2 > 0 ---> x =/= 3. Not done yet; x = 1 (excluded value) x = 4 (a zero on the left side), and x = 5 (excluded value) must be used for interval bounds. If x < 1, you have plus/minus > 1/plus... show more
    Best answer: (4 - x)/(x - 5) > 1/(1 - x)

    (4 - x)(1 - x) > x - 5

    4 - 5x + x^2 > x - 5

    x^2 - 6x + 9 > 0

    (x - 3)^2 > 0 ---> x =/= 3.

    Not done yet; x = 1 (excluded value) x = 4 (a zero on the left side), and x = 5 (excluded value) must be used for interval bounds.

    If x < 1, you have plus/minus > 1/plus ---> minus > plus. Doesn't work.

    If 1 < x < 3, you have plus/minus > 1/minus ---> minus > minus. Doable.

    If 3 < x < 4, the same happens as in the previous case (minus > minus). Doable.

    If 4 < x < 5, you have minus/minus > 1/minus ---> plus > minus. This works.

    If x > 5, you have minus/plus > 1/minus ---> minus > minus. But this fails because you have a number increasing toward -1 that is greater than a negative unit fraction -- a false statement because the negative unit fraction is closer to 0.

    Solution interval union should be (1, 3) U (3, 5); 1 < x < 3 or 3 < x < 5 should satisfy the inequality.
    7 answers · 2 days ago
  • What is the solution to -16 + 2x= -64?

    11 answers · 1 day ago
  • How many ounces in a pound?

    22 answers · 3 days ago
  • Is 1998 late 90s?

    29 answers · 4 days ago
  • (1-cos x)(sin x - 1) = 0?

    Best answer: Zero Product Rule: If two factors are multiplied together to give zero, then one of the two must be zero. (there is no other way to get zero in a multiplication). It could be 1 - cos(x) = 0 then 1 = cos(x) x = 0, pi, 2pi, etc... x = k(pi) where k is any integer (positive or negative, including zero) Or, it could... show more
    Best answer: Zero Product Rule:
    If two factors are multiplied together to give zero, then one of the two must be zero.
    (there is no other way to get zero in a multiplication).

    It could be
    1 - cos(x) = 0
    then
    1 = cos(x)
    x = 0, pi, 2pi, etc...
    x = k(pi) where k is any integer (positive or negative, including zero)

    Or, it could be
    sin(x) - 1 = 0
    then
    sin(x) = 1
    x = pi/2, 3pi/2, 9pi/2, 11pi/2 (not 5pi/2 not 7pi/2), and so on...
    8 answers · 1 day ago
  • A 16-oz jar of peanut butter in the shape of a right circular cylinder is 5in high and 3in in diameter and sells for $1.60.?

    In the same store, a 26-oz jar of the same brand is 5&1/2in high and 3&1/4in in diameter. If the cost is directly proportional to volume, what should the price of the larger jar be? If the cost is directly proportional to weight, what should the price of the larger jar be?
    In the same store, a 26-oz jar of the same brand is 5&1/2in high and 3&1/4in in diameter. If the cost is directly proportional to volume, what should the price of the larger jar be? If the cost is directly proportional to weight, what should the price of the larger jar be?
    5 answers · 3 days ago
  • In a class of 50 students, 38 use desktop computers, 16 use laptops. What is the maximum number of students who use both?

    Best answer: In the extreme case, all 16 that use laptops could be completely inside the set of students who use desktop computers. In other words, the maximum who use both is 16. As for the minimum, we can't have the two sets being disjoint (no overlap) because 16 + 38 = 54. That means there has to be an overlap of at... show more
    Best answer: In the extreme case, all 16 that use laptops could be completely inside the set of students who use desktop computers. In other words, the maximum who use both is 16.

    As for the minimum, we can't have the two sets being disjoint (no overlap) because 16 + 38 = 54. That means there has to be an overlap of at least 4 students that use both a laptop and a desktop computer.

    Answer:
    Minimum of 4 students
    Maximum of 16 students

    Update:

    If it helps, imagine you have 16 labels that say "laptop" and 38 labels that say "desktop" and you have 50 students.

    You could give a "laptop" and a "desktop" label to the same 16 students. That's the maximum you could have --> 16 maximum.
    (The remaining 22 "desktop" labels would go to any of the remaining students)
    16 (both), 22 (just desktop), 12 (no computer)

    And for the other way, you could give all the "laptop" labels to 16 students which leaves 34 students. You could give them 34 of the "desktop" labels but you'd have to give 4 "desktop" labels to those students that already have a "laptop" label. That's the minimum you could have with both --> 4 minimum
    4 (both), 34 (just desktop), 12 (just laptop)
    8 answers · 4 days ago
  • What is 1/5+ 1/4?

    9 answers · 2 days ago
  • How to verbally say an index root?

    If 3 is the index of the square root of 27, how do you verbally say it?
    If 3 is the index of the square root of 27, how do you verbally say it?
    7 answers · 14 hours ago
  • The area of a rectangular fountain is (x^2+12x+20)square feet. A 2 foot walkway is built around the fountain.?

    Best answer: Area = x²+12x+20
    Area = x²+10x + 2x + 20
    Area = x(x+10) + 2(x+10)
    Area = (x+10) (x+2)
    Length is (x+10) feet and Width is (x+2) feet
    Adding a 2 feet walkway will add 2 feet on both sides,
    Outer Length = (x+10+2+2) = (x+14) feet
    Outer Width = (x+2+2+2) = (x+6) feet
    Best answer: Area = x²+12x+20
    Area = x²+10x + 2x + 20
    Area = x(x+10) + 2(x+10)
    Area = (x+10) (x+2)
    Length is (x+10) feet and Width is (x+2) feet
    Adding a 2 feet walkway will add 2 feet on both sides,
    Outer Length = (x+10+2+2) = (x+14) feet
    Outer Width = (x+2+2+2) = (x+6) feet
    6 answers · 15 hours ago
  • How do you determine square footage of a round pool?

    it is a 14 foot round pool
    it is a 14 foot round pool
    12 answers · 3 days ago
  • What s 100×150cm in foot and inches?

    7 answers · 3 hours ago
  • 30 is what percent of 20?

    15 answers · 4 days ago
  • If C(n,2)=6, then n=?

    5 answers · 8 hours ago