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Fantom [35]
3 years ago
15

What is 7•8+1•40. Explain your answer

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

96

Step-by-step explanation:

We will use the order of operations to solve the equation

7×8+1×40

multiplication before addition, so we do this first:

7×8=56

We change the equation to this:

56+1×40

Then we multiply:

1×40=40

We change the equation to this:

56+40

Then we add to solve:

56+40=96

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A plant cell is 0.00001267 meter wide.How is this number written in scientific notation?
MA_775_DIABLO [31]
<span>The answer is 0.00001267 m = 1.267 * 10^(-5) m. In scientific notation, the number is written as two factors - a number m from 0-10 and 10 raised to the n power: m x 10^n. 0.00001267 m = 1.267 x 0.00001 m. 0.00001 m = (0.1)^5 = 10^(-5). So: 0.00001267 m = 1.267 x 0.00001 m = 1.267 x (0.1)^5 m = 1.267 x 10^(-5) m.</span>
3 0
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)

7 0
2 years ago
I need help with this im on a test
sergey [27]

Answer: A. 2

Step-by-step explanation:

add all 5 numbers together to get 40 then add one of the answer choices to the total and divide each one by 6 until you get 7.

42/6=7

7 0
2 years ago
Four baskets contain scented soaps. The baskets contain 9, 9, 11, and 15 soaps. If the soaps are divided evenly among the
Elis [28]

Answer:

11

Step-by-step explanation:

9+9+11+15 = 44

44/4 = 11!

3 0
3 years ago
Read 2 more answers
The base of a parallelogram is 3.2 centimeters and the height is 1.8 centimeters. What is the area of the parallelogram? Do not
jeka94

Answer:

A = 5.76 cm²

Step-by-step explanation:

3.2 cm x 1.8 cm = 5.76 cm²

3 0
2 years ago
Read 2 more answers
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