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3 years ago

Determine whether y varies directly with x. y-2x=0

2 answers:

4 0

hi, 
you can determine it by seeing if y/x = a constant value, in other words if y = (a constant value) x 
then you say that y varies directly with x, and you can see that : call the constant k 
then y/x is supposed to be k in all values 
6/3 = 2 
24/12 =2 
96/48 = 2 
384/192 = 2 
it worked the ratio between x and y is constant so y varies directly with x ( y = 2x) and that constant k =2 
p.s. you can also say that x varies directly with y but in that case it becomes x/y =constant and that constant say c is 1/2 (x = (1/2)y)) 
hope u understand.

Source- https://answers.yahoo.com/question/index?qid=20110813112602AApHZtQ

alexgriva [62]3 years ago

4 0

No because when y is next to a number you mutiply and y you do what ever its next to

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Step-by-step explanation:

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A hunter is at a point on a riverbank. He wants to get to his cabin located 2 Miles North and 8 Miles West. He can travel 5 Mph

miskamm [114]

Answer:

Option A

Step-by-step explanation:

A hunter travels to his cabinet located at 2 Miles North and 8 Miles West.

Let "d" be the distance traveled before reaching the rocky ground at point say "P". Let the cabin be at "C"

The distance between C and P is given by

$\sqrt{(2^2+(8-d)^2}\\$

Let "t" be the time taken to travel distance CP.

$T = \frac{d}{5} + \frac{\sqrt{2^2+(8-d)^2} }{3}$

Minimum time will be when "t" is equal to zero

Differentiating the above equation wrt "d", we get -

$= \frac{1}{5} + \frac{1}{3} (\frac{-2(8-d)}{2\sqrt{2^2+(8-d)^2} } )= 0\\\frac{1}{5} = \frac{1}{3} \frac{(8-d)}{\sqrt{4+(8-d)^2} } \\3\sqrt{4+64+d^2-16d} = 40-5d\\$

On squaring both the sides , we get -

$3\sqrt{4+64+d^2-16d} = 40-5d\\9(68+d^2-16d)= 1600+25d^2 -400d\\612+9d^2-144d=1600+25d^2 -400d\\16d^2-256d+988=0\\d_1 = 9.5\\d_2 = 6.5$

"d" cannot be greater than 8 miles.

Hence, the value of "d" is equal to $6.5$

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3 years ago

Angel and his children went into a grocery store and where they sell peaches for $0.75 each and mangos for $1.25 each. Angel has

Stels [109]

Answer:

We get the number of peaches bought by Angel is 10 And

The number of mangoes should be less than 6 {Ex:- 5, 4, 3, 2} then Angel can buy no less than 12 peaches.

Step-by-step explanation:

Given that,

cost of a peach is $0.75.

cost of a mango is $125.

Total amount Angle has to spend $15.

According to Question,

Let the number of peaches bought by Angle be x.

And the number of mangoes bought by Angle is 6.

So,

$6\times 1.25 + x\times 0.75 = 15$

$7.5 + x\times 0.75= 15$

$x\times 0.75 = 7.5$

$x= 10$

Here,

we get the number of peaches bought by Angel is 10.

Therefore,

According to Question Angel has to must buy no less than 12 mangoes so she needs to reduce the number of mangoes to achieve her goal that given in the statement.

∴ The number of mangoes should be less than 6 {Ex:- 5, 4, 3, 2} then Angel can buy no less than 12 peaches.

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3 years ago