MATHEMATICS HIGH SCHOOL

What is the solution to the following bernoulli de?\[t^2 dy/dx+y^2=ty\]
It looks like it is homogenous because if you divide through by \[t^2\] it will be \[y/t\] all over. Also if it's a bernoulli, wouldn't \[v=y\], which isn't very useful. Any thoughts?

Answers

Answer 1
Answer: Here t is constant only x and y are variables so it reduces to

dy/ty-y^2 = 1/t^2(dx)

just solve it taking t as constant.

hope this helps

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Please help will give brainliest!CheapBuys, a large bulk store, sells cases of bottled water for $13.49. There are 48 bottles in each case and the bottles are 12 ounces each. Sarah remembers that the vending machine at work sells the same size bottle for $0.75 per bottle. Calculate the cost for one bottle and tell if Sarah should buy bottled water by the case or not.

A: Buying in bulk will not save her any money since the bottles in the case and the bottles from the vending machine are both about 75 cents each.

B: The cost per bottle at CheapBuys is approximately 28 cents, so Sarah will save a considerable amount of money by buying water in bulk rather than from the vending machine.

C: Each bottle of water in the case from CheapBuys is 35 cents, so she should buy the case instead of buying it at work.

D: The case of water is $13.49. Since the individual bottles are cheaper in the vending machine, Sarah should buy the bottles at work.

Answers

Answer: B

Step-by-step explanation:

$13.49 ÷ 48 = $0.28  per bottle in the case

Answer:

Step-by-step explanation:

Step 1:

Cost of 1 case of water with 48 bottles - $13.49

Step 2:

Calculate cost of 1 bottle of water - (Cost of 1 case)/(Number of bottles)

13.49/48 = $0.28

Answer: B

Johanna is mixing red and blue paint to make purple paint for her bedroom. the amount of red paint and blue paint she needs is directly proportional to each other. if she uses three pints of blue paint and five pints of red paint, it makes the perfect shade of purple to match her bed comforter. johanna wants to make one more batch of purple paint in the exact same shade. if she only has 15 pints of red paint left, how much blue paint does she need?

Answers

3blue/5red=xblue/15red
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Answers

x,y,z-\ three\ numbers\n\nz=3x\ny=x+8\n\n\x+z+y=133\nx+3x+x+8=133\n5x+8=133\ \ | subtract\ 8\n5x=125\ \ | divide\ by\ 5\nx=25\n\nNumbers\ are:\ 25,33,75.

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Answers

75/25  hope i helped and sorry for the other one (confusing)
68/100 = 34/50 = 17/25

68/100 simplified is 17/25

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