hard math word problem
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Answers:Wow, what the heck kind of evil math class is this??? 3. Positive integer pairs that multiply to 72: 1*72 2*36 3*24 4*18 6*12 8*9 Solving c^2 - a^2 - b^2 = 101 for c, you get c = sqrt(a^2 + b^2 + 101) Thru trial & error (I actually used a spreadsheet), you find the a, b pair to be 4 & 18, and c = 21. So a + b + c = 4 + 18 + 21 = 43 4. x = number of boys that passed = number of girls that passed Total number of boys = b, so 2/3*b = x, therefore b = 3/2*x Total number of girls = g, so 3/4*g = x, therefore g = 4/3*x Total number of kids who passed = x + x = 2x (that is boys that passed plus girls that passed) Total number of kids = b + g = 3/2*x + 4/3*x = 9/6*x + 8/6*x = 17/6*x Fraction of kids who passed = number of kids who passed/total number of kids = 2x/(17/6*x) [the x's cancel out] = 2/(17/6) = 12/17. Twelve seventeenths of the kids passed. ************************** EDIT: Okay, I'm going to do another, these questions are just bugging me. 6. The answer is 3, there are 3 distinct real numbers that have this property. They are 0, 5 & 10. Before I prove this, here are a few definitions. Median is the middle number of a set. So if I have 12, 2, 16, 4, 9, then 9 would be the median because half the numbers are higher & half the numbers are lower. If two numbers are the same, one can still be the median. So if I have 1, 3, 3, 7, 8, then 3 is the median. Mean is your typical average, add up the numbers & divide by the number of numbers. There were 5 numbers in my first example, so mean = (12 + 2 + 16 + 4 + 9)/5 = 8.6. In your question, the equation you will always have is median = mean, or median = (x + 1 + 4 + 6 + 9)/5 or median = (x + 20)/5. So you will get a distinct x every time you have a different median. If x is equal to or less than 4, your median is 4 because your 1 & x will be less than or equal to 4 & 6 & 9 will be greater. That gives you one distinct x [4 = (x+ 20)/5 so x = 0]. If x is equal to or greater than 6, your median is 6, this gives you a second distinct x [6 = (x+20)/5, so x = 10]. The third case is if x is between 4 & 6, or 4
Answers:1) 2(pi)r = circumference of wheel = 6.28 feet. which means the chariot travels 6.28 feet per revolution track = 2300 feet. 2300/6.28 = 366.24 revolutions. be sure to get the units right. it's not 366 feet but 366 revolutions. 2) 1 meter across = diameter. Therefore the radius is half that 0.5 m x 100 = 50 cm area of a circle is (pi)r^2 so (3.14...)(50)^2 = 7854 square centimeters is the area of the prayer circle. same process for the metal tube (pi)(.5)^2 = .7854 (That number is familiar) So now it's the area of the prayer cicle divided by area of funnel tips . 7854/.7854 = 10,000 funnel tips.
Answers:First set up an equation. If you set up an equation where X is equal to the regular price of the shoes you will get something like this... x-.20x=89.59 As you can see X is the original price and if you multiply the original price times 20%(.20) you will get the amount that was taken off the original price and if you subtract such values from X you will get 89.59. All you have to do now is solve for X and you will get the original price of the shoes. x-.20x=.80x (remember that it is assume there is a 1 in front of x) Your equation turns into .80x=89.59 X=$111.99 Dollars, this is the original price of the shoes
Answers:The sum of three numbers is 45: x + y + z = 45 One number is ten more than a second number: x = y + 10 It is also twice the third: x = 2 * z