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Anon25 [30]
3 years ago
14

In class, there are 12 girls and 11 boys. Write each ratio 3 ways.

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
4 0
12/11, 12:11, 12 to 11

11/12, 11:12, 11 to 12
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60ft

Step-by-step explanation:

h x 20 = 120

h=120/20

h=60

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If 42 students were born in a state other than Texas, how many students does Mrs. Vy have in all her classes
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Step-by-step explanation:

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How do I solve this and what kind of formula is it?
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160

Step-by-step explanation:

The measure of an arc is always twice the degree of the corresponding angle inside the circle. For example, the measure of arc DC is just double the measure of angle DOC; angle DOC is 44 degrees, so arc DC must be 88 degrees.

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5 0
3 years ago
1.     Emily filled an empty horse trough with water. The water level, in centimeters, is proportional to time elapsed, in minut
castortr0y [4]
(a) The rate that the point 8,28 represents is 3.5 cm/s since 28/8 = 3.5
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6 0
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}

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒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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