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skelet666 [1.2K]
3 years ago
14

Lmk ASAP please Express the percent as a decimal. 27%

Mathematics
2 answers:
dimulka [17.4K]3 years ago
6 0

Answer:

0.27

Step-by-step explanation:

27%=27/100

27 over 100 is the same as 27 divided by 100. Completing the division we get:

27 ÷ 100 = 0.27

Therefore, we have shown that

27% = 0.27

In-s [12.5K]3 years ago
3 0

Answer:

.27

Step-by-step explanation:

Drop the % sign and move the decimal two places to the left.

Always use that rule^^^^

~theLocoCoco

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The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as
Olin [163]

Answer:

x = ∛(2V/7)

y = ∛(2V/7)

z = 3.5 [∛(2V/7)]

{x,y,z} = { ∛(2V/7), ∛(2V/7), 3.5[∛(2V/7)] }

Step-by-step explanation:

The aquarium is a cuboid open at the top.

Let the dimensions of the base of the aquarium be x and y.

The height of the aquarium is then z.

The volume of the aquarium is then

V = xyz

Area of the base of the aquarium = xy

Area of the other faces = 2xz + 2yz

The problem is to now minimize the value of the cost function.

The cost of the area of the base per area is seven times the cost of any other face per area.

With the right assumption that the cost of the other faces per area is 1 currency units, then, the cost of the base of the aquarium per area would then be 7 currency units.

Cost of the base of the aquarium = 7xy

cost of the other faces = 2xz + 2yz

Total cost function = 7xy + 2xz + 2yz

C(x,y,z) = 7xy + 2xz + 2yz

We're to minimize this function subject to the constraint that

xyz = V

The constraint can be rewritten as

xyz - V = 0

Using Lagrange multiplier, we then write the equation in Lagrange form

Lagrange function = Function - λ(constraint)

where λ = Lagrange factor, which can be a function of x, y and z

L(x,y,z) = 7xy + 2xz + 2yz - λ(xyz - V)

We then take the partial derivatives of the Lagrange function with respect to x, y, z and λ. Because these are turning points and at the turning point, each of the partial derivatives is equal to 0.

(∂L/∂x) = 7y + 2z - λyz = 0

λ = (7y + 2z)/yz = (7/z) + (2/y) (eqn 1)

(∂L/∂y) = 7x + 2z - λxz = 0

λ = (7x + 2z)/xz = (7/z) + (2/x) (eqn 2)

(∂L/∂z) = 2x + 2y - λxy = 0

λ = (2x + 2y)/xy = (2/y) + (2/x) (eqn 3)

(∂L/∂λ) = xyz - V = 0

We can then equate the values of λ from the first 3 partial derivatives and solve for the values of x, y and z

(eqn 1) = (eqn 2)

(7/z) + (2/y) = (7/z) + (2/x)

(2/y) = (2/x)

y = x

Also,

(eqn 1) = (eqn 3)

(7/z) + (2/x) = (2/y) + (2/x)

(7/z) = (2/y)

z = (7y/2)

Hence, at the point where the box has minimal area,

y = x,

z = (7y/2) = (7x/2)

We can then substitute those into the constraint equation for y and z

xyz = V

x(x)(7x/2) = V

(7x³/2) = V

x³ = (2V/7)

x = ∛(2V/7)

y = x = ∛(2V/7)

z = (7x/2) = 3.5 [∛(2V/7)]

The values of x, y and z in terms of the volume that minimizes the cost function are

{x,y,z} = {∛(2V/7), ∛(2V/7), 3.5[∛(2V/7)]}

Hope this Helps!!!

7 0
3 years ago
what is the volume of the rectangular prisms with a length of 1 5/8, a width of 3/8, and a height of 3in
SVEN [57.7K]

Answer:

To find the volume of a cube one must multiply all three dimensions together. Here we know two of the dimensions and the volume but not the third dimension. First I multipl together to two known dimensions: 3/4 x 1/2 = 3/8. Next I divide the volume by this answer by using the reciprocal of 3/8 and multipling. 21/32 x 8/3 = 7/4 by cancelling the 32 with the 8 and the 21 with the 3. Now 7/4 must be changed into a mixed number. Divide the numerator by the denominator and write the remainder as a fraction. 7/4 = 1 3/4.

7 0
2 years ago
The school soccer team buys 3 soccer balls for every 2 players. The school volleyball team buys 7 volleyballs for every 5 player
SSSSS [86.1K]
Soccer buys more; divide each

Soccer- 3/2= 1.5
Volleyball- 7/5=1.4

Soccer buys more balls per player
6 0
2 years ago
12-2(n-1)=-18<br><br> aa help plzz
Luda [366]

Answer:

n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

12−2(n−1)=−18

Step 1: Simplify both sides of the equation.

12−2(n−1)=−18

12+(−2)(n)+(−2)(−1)=−18(Distribute)

12+−2n+2=−18

(−2n)+(12+2)=−18(Combine Like Terms)

−2n+14=−18

−2n+14=−18

Step 2: Subtract 14 from both sides.

−2n+14−14=−18−14

−2n=−32

Step 3: Divide both sides by -2.

−2n /−2  =  −32 /−2

n=16

8 0
3 years ago
Help meh plss :) i don't know the answer
3241004551 [841]

Answer:

33 1/3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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