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2 years ago

10% of 65 pls help and explain the steps to get total answer

Mathematics

1 answer:

sergij07 [2.7K]2 years ago

5 0

10% of 65
Of means multiply
=0.1 x 65
=6.5

Or you can use another way which is (part/whole) *(percent/100)

Whole=65
Percent=10
And part(part of 65)=unknown

(X/65)* (10/100)
Cross multiply
x= 6.5

So 10% of 65 is 6.5

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Alexus [3.1K]

Y=0.72(3) i think tht is the answer

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2 years ago

A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.

Montano1993 [528]

Answer:

x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

area = xy +2(xz +yz)

volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

L = xy +2(xz +yz) +λ(xyz -8788)

partial with respect to x: 0 = y+2z +λyz

partial with respect to y: 0 = x +2z +λxz

partial with respect to z: 0 = 2x+2y +λxy

partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

λ = (y +2z)/(yz) = 1/z +2/y

λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

1/z +2/y = 1/z +2/x ⇒ x = y

The third equation then tells us ...

λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

1/z +2y = 2/x +2/y ⇒ z = x/2

This is the result we started the answer with:

x = y = 2z = ∛(2·8788 cm³)

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2 years ago

Find the number of possible outcomes. A jewelry store sells gold and

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Answer:

The number of possible outcomes are 8.

Step-by-step explanation:

Given that,

A jewelry store sells gold and platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or diamond gemstone.

We need to calculate the number of possible outcomes

Using given data,

Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)

So, Outcomes = 8

Hence, The number of possible outcomes are 8.

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3 years ago

vimesha drove 232 miles in 4 hours. at this rate, how far could she drive in 7 hours? what is her rate of speed in miles per hou

IrinaVladis [17]

Answer: distance = 406 miles

speed = 58 miles/hr

Step-by-step explanation:

4 hours - 232 miles

1 hr - 232/4

7 hours - 232/ 4 x 7 = 406 miles

Therefore , her distance is 406 miles for 7 hours.

Speed = distance / time

speed = 406/7 = 58 miles/hr

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3 years ago

The combined weight of the people in an elevator is 49% of the 3,025-pound capacity.Which would be the best way to estimate the

klasskru [66]

Answer:

50% of 3000

Step-by-step explanation:

49% is very close to 50% (half). 3,025 pounds is very close to 3,000 pounds.

Half of 3,000 pounds is 1,500 pounds.

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2 years ago

10% of 65 pls help and explain the steps to get total answer​

10% of 65 pls help and explain the steps to get total answer