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BaLLatris [955]
3 years ago
6

A hockey league has a total of 252 players on 12 teams.

Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0

Answer:

21 players per team

Step-by-step explanation:

252 divided by 12 equals 21

Marizza181 [45]3 years ago
7 0

Answer:

21 players per team

Step-by-step explanation:

252 divided by 12 = 21

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Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2
leva [86]

Answer: B. 108.6

The correct answer is 108.6!

Hope This helps!

7 0
3 years ago
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Please help me with this I would give you 50 points.
NNADVOKAT [17]
Melanie has to pay $81.25
5 0
2 years ago
Barb is a freshman attending a 4-year college. She has been approved for a $12000
tester [92]

Answer:

The amount in interest accruable to the U.S. Department of Education after 4.5 years is $2,882.33

Step-by-step explanation:

The given parameters are;

The amount, P of subsidized federal loan Barb has been approved for = $12,000

The interest rate at which the loan was approved, r = 4.29%

The duration of the loan = 10 years

The interest after 4.5 years is given as follows;

A = P \times \left (1 + \dfrac{r}{n} \right  ) ^{n \cdot t}

Where;

A = The total amount of the loan plus interest after a given time period

n = The number of compounding of the interest per annum

Plugging in the values, we get;

A = 12,000 \times \left (1 + 0.049 \right  ) ^{4.5} \approx 14,882.33

The interest, i, is therefore given as follows;

i = A - P = 14,882.33 - 12,000 = 2,882.33

The interest, i after 4.5 years = $2,882.33

The amount in interest accruable to the U.S. Department of Education after 4.5 years = $2,882.33.

8 0
3 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)

7 0
3 years ago
(r + 14x + 55x + 48) \(x + 6)
balu736 [363]

Answer:

r + 69x + 48 / x + 6

Step-by-step explanation:

3 0
3 years ago
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