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aniked [119]
2 years ago
8

Find the sum or difference 7/8 + 9/16

Mathematics
2 answers:
zavuch27 [327]2 years ago
6 0

Answer:

The answer is 23/16 but if you want it to be a mixed number, it is 1 7/16.

Step-by-step explanation:

dangina [55]2 years ago
6 0

The answer is 23/16, or in mixed fraction form: 1 7/16 (work shown out)

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The rate of change is 15. We know this because 30 - 15 = 15, 45 - 30 = 15, and 60 - 45 = 15.

The next item in the sequence would be 75, since 60 + 15 = 75.

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Match the equation with the step needed to solve it.
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To solve this, you need to isolate/get the variable "m" by itself in the equation:

1. 2m - 1 = 3m    Subtract 2m on both sides to get "m" on one side of the equation

2m - 2m - 1 = 3m - 2m

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2. 2m = 1 + m     Subtract m on both sides to get "m" on one side of the equation

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3 years ago
Study this table. x y –3 –2 –2 0 0 4 4 12 Which best describes the function represented by the data in the table? linear with a
ss7ja [257]

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3 years ago
A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit
Kazeer [188]

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

P_{x} = 2 , P_{y} = 4

Now,

Budget constraint -

P_{x} x + P_{y} y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2         ........(1)

100x + 2 = 4        .........(2)

Divide equation (2) to equation (1) , we get

\frac{100y + 1}{100x + 2} = \frac{1}{2}

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Now,

As 2x + 4y = 1000

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⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = \frac{250}{2} = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

                   = 3125000 + 250 + 250

                  = 3125000 + 500

                 = 3125500

⇒u(250, 125) = 3125500

3 0
3 years ago
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