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2 years ago

Please help i have been trying to figure this out for like an hour

Mathematics

1 answer:

KengaRu [80]2 years ago

7 0

Answer:

Step-by-step explanation:

Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have

$\dfrac {7 \frac12} {10} = \dfrac a4$

We can cross multiply to get that

$10a = 30, \text{so } \boxed{a=3}$

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Al bob and carl can life 240 pounds.

padilas [110]

Answer:

1020 POUNDS.

Step-by-step explanation:

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2 years ago

1.01<0.99 true,4.5=4.50 true, 3.5<3.39 true?, lastly is 1.51>1.15 true?

kirza4 [7]

No, yes, no, yes

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2 years ago

Simplify this expression using the distributive property

jok3333 [9.3K]

Answer:

When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.

Step-by-step explanation:

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2 years ago

Dave is helping his grandmother make trail mix. His grandmother asks him to add 1/5 cup of fruit for every 1/3 cup of nuts. To s

erma4kov [3.2K]

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2 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