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3 years ago

Diego has 12 chocolate chip cookies and 18 vanilla cookies. He wants to

Mathematics

1 answer:

rodikova [14]3 years ago

7 0

Answer:

The great number he can have in each bag is 6 cookies.

Step-by-step explanation:

This is because the greatest common factor of 12 and 18 is 6.

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The price of a gallon of gasoline is 3.16 the price when Ryan’s mother started driving was 1/4 of the current price what was the

jenyasd209 [6]

"of" means multiply, "was/is" means equals

started driving price was 1/4 of current price

? = 1/4 x 3.16

? = 3.16/4

? = .89

Answer: $0.89

8 0

3 years ago

Please help please i dont know how to do it I need to get my grades up asap

bearhunter [10]

Answer:

Well if you need help with graphing, there's a website named Desmos Graphing calculator. If you want to get your grades up, listen to some music then do the easy stuff. I dont know any websites from the top of my head :p

Step-by-step explanation:

6 0

3 years ago

Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinat

dimaraw [331]

I assume the given plane has equation

x + 3y + 4z = d

for some constant d ≠ 0.

You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be

L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)

Find its critical points:

∂L/∂x = yz - λ = 0

∂L/∂y = xz - 3λ = 0

∂L/∂z = xy - 4λ = 0

∂L/∂λ = x + 3y + 4z - d = 0

The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,

yz = xz/3 → 3yz - xz = z (3y - x) = 0 → z = 0 or 3y - x = 0

If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.

In the fourth equation, we get upon substituting

x + 3y + 4z = 3x = d → x = d/3, y = d/9, z = d/12

Then the largest volume of this box would be

V(d/3, d/9, d/12) = d ³ / 324

6 0

3 years ago

A contractor charges $273 to tile a 120-square-foot patio and $368 to tile a 170-square-foot patio. The contractor charged a cus

const2013 [10]

To solve this problem you can apply the proccedure shown below:

1. You have that the contractor charges $273dollars$ to tile a $120ft^{2}$ patio and $368dollars$ to tile a $170ft^{2}$ . Then, you have:

$170ft^{2}-120ft^{2} =50ft^{2}$

$368dollars-273dollars=95dollars$

2. As you can see, the price increases $95dollars$ each $50ft^{2}$ . Therefore, based on this, if the contractor charged a customer $539dolllars$ to tile a patio, you can calculate the difference between the first price and this one: