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Alika [10]
3 years ago
8

The following table shows a proportional relationship between x and y.

Mathematics
1 answer:
RUDIKE [14]3 years ago
8 0

Answer:

Assume x is directly proportional to y :

y \:  \alpha  \: x \\ y = kx

when y is 9, x is 2:

substitute to find value of k :

9 = (k \times 2) \\ k =  \frac{9}{2}

Therefore, equation is:

{ \boxed{ \boxed{2y = 9 x}}}

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Two equivalent ratios for 1/8 is 2:16 and 4:32
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Find the area of the trapezoid.
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The answer is 68cm^2. Hope this helps!
4 0
3 years ago
An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem
hichkok12 [17]

Answer:

z (min)  = 705

x₁  = 10

x₂  = 9

Step-by-step explanation:

Let´s call  x₁  quantity of food I ( in ou )  and x₂ quantity of food II ( in ou)

          units of vit. C   units of vit.E   Cholesterol by ou

x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

1.-Total units of vit. C at least  464

32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

9*x₁  + 18*x₂   ≥  252

3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

x₁  = 10

x₂  = 9

5 0
3 years ago
The height of a cylinder is 10 and the area of a base is 36 pi square units. What
ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

v=\pi r^2h

We have the area of the base, but not the radius

a=\pi r^2

We know the area is 36\pi, so we can substitute that in for a

36\pi =\pi r^2

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

v=\pi r^2h

v=\pi 6^210

Solve the exponent

v=\pi 36(10)

v=\pi 360

v=1130.97336

The volume is 1130.97336 units^3

6 0
3 years ago
Given the equation y = (1/4)x - 5, what is the zero? Only write the number please
lawyer [7]

Answer:

so the zero is (20,0) but just so you know you can go to desmos and it will answer all of your graphing questions.

Step-by-step explanation:

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4 0
3 years ago
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