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Topic: How to solve this equation?**Question:**
3/8-1/4t=1/2t-3/4 may you explain and show work in full detail so I may do the rest of my homework without anymore help?

June 25, 2019 / By Carissa

3/8 - 1/4t = 1/2t - 3/4 1/2t + 1/4t = 3/8 + 3/4 Multiply both sides by 8 4t + 2t = 3 + 6 6t = 9 Divide both sides by 3 2t = 3 t = 1 1/2

👍 138 | 👎 5

Did you like the answer? Not going to go through all of these, but will help you will the basics for several. #3. The square of a positive integer is equal (x^2 =) to the sum of the integer and 12 (x+12). So, x^2 = x + 12 #6. One positive number is three more than twice another. If you call the second one x, the first one is three more than twice that, or 3 more than 2x, or 2x+3. Since their product is 27, that gives you x (2x+3) = 27 #10. Similar to #6. The 2x+3 becomes 2x-3, and you'll add instead of multiplying. Also, note you want to add the sum of the squares, not the numbers themselves. This will give you x^2 + (2x-3)^2 = 72. #14. Two consecutive numbers will have the form x, and x + 1 (since two consecutive numbers are only one apart). So, x(x+1)=110 #15. Like #14, except now you have to square the numbers and add them. (x)^2 + (x+1)^2 = 85 #18. If you have consecutive even or odd numbers, you are looking at numbers that are two apart. Thus, the numbers would be x and (x + 2). Thus, your setup is x(x + 2) = 63. For the remaining problems, remember you dealing with distances, so you need positive answers, and can ignore the negative ones. #21. You need to know that area of a rectangle = length times width, or A= lw. length is twice the width, so set it up like that. Length is twice width --> L = 2w, so A = lw 72 = 2w(w) #25. Similar to above. Width is 4 less than length, so w = l - 4. A = l w 117 = l (l-4) #26. Formula is now A = 1/2 b h. height is 4 less than base, so h= b-4 A = 1/2 b h 16 = 1/2 (b) (b-4) #31. Back to rectangles. Since Area = lw, and the area is 24, you get 24=lw. Perimeter is 20 cm, giving you 2l+2w = 20. I would rewrite the second one like so: 2l = 20 - 2w l = 10 - w and plug into the area formula. 24 = lw 24 = (10-w)w #34. Just an area problem. A = l*w = (w+3)(w). Notice that number of member in each row exceeds the number of rows, so when you get your two measurements, you want the smaller one. #37. w=l-5 If you increase each by 6 meters, then the new length would be l+6, and the new width would be w+6=(l-5)+6=l+1. So solve 300 = (l+6)(l+1) #39. P=2l+2w Perimeter is 52. 52=2l+2w 52-2l=2w 26-l=w Area is 320, so solve: 320 = l (26-l) #41. Last one. Length is three times the width, so length is 3w. A = lw = (3w)(w) So solve 48 = 3w(w) to find the size of the width. But remember you will want the length, which is three times that.

first, factor the quadratic on the left side of this equation, to give you (x-2)(x+5)=0. Using the property of a product whose answer is 0, then it follows that: x - 2 = 0 and/or x + 5 = 0 solving each of these yields x = 2 or x = -5

Add 1/4 t to both sides. Get all the t's on one side and all the pure numbers on the other. 3/8 = 1/2t + 1/4t - 3/4 3/8 = 3/4t - 3/4. Notice you don't get anything weird like t^2. Now add 3/4 3/8 + 3/4 = 3/4t 9/8 = 3/4 t Now divide by 3/4 (9/8) / (3/4) = t Remember you were taught somewhere that when you have a four tier fraction, you invert the bottom (turn the bottom upside down) and multiply. (9/8)*(4/3) = 3/2 = t

👍 50 | 👎 -2

first make them all have a common denominator... 3/8 - 2/8t = 4/8t - 6/8 then move the fractions w/ variables attatched so they r on the same side 9/8 = 6/8t then divine by 6/8 (or 3/4) do keep change change t=1.5

👍 46 | 👎 -9

the volume of a certain quantity of gas varies inversely as its pressure. If its pressure is 15 psi when its volume is 3 cubic feet, what will the pressure be when the gas is expanded to a volume of 5 cubic feet? Fat Ugly B here it is: volume = V pressure = P V= 1/P 15=1/3 15/5= P/3 ======================= Ans:: P = 9 psi ======================= hope this helps

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