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Law Incorporation [45]

3 years ago

5

Samuel is boiling water to cook pasta for dinner. The water in the pot starts at 67°F, and the temperature increases by 13°F per

minute. How long does it take for the water to reach 145°F? Write and solve an equation to find the answer. minutes

1 answer:

Vladimir79 [104]3 years ago

8 0

Answer:

It will take the pot 6 minutes to reach 145 degrees

Step-by-step explanation:

If you add 13 to 67 six times then you will get 145

hope this helps

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car as the following utility function: U(X,Y)equals10Upper X squaredY where X is her consumption of Blu-ray disks with a pri

mr_godi [17]

Answer:

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

$U(x,y)=10x^2y$

Calculate marginal utility of good

Differentiate with respect of x and y.

$MU_x=20xy$

$MU_y=10x^2$

Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10.

The ratio of marginal utility of good x to y is equal to the price ratio:

$\frac{MU_x}{MU_y}=\frac{P_x}{P_y}$

Substitute the respective values.

$\frac{20xy}{10x^2}=\frac{40}{10}$

$\frac{2y}{x}=4$

$2y=4x$

$y=2x$

She has $1800 with which to spend on the two goods.

Her consumption of Blu-ray disks (X) with a price of $40 and Y is her consumption of DVDs with a price of $10. She has $1800 with which to spend on the two goods.

Therefore, $40x+10y=1800$

$4x+y=180$

Substitute the value of y in above equation.

$4x+2x=180$

$6x=180$

$x=30$

Thus, $y=60$

She consumes 30 blue ray disk and 60 DVD respectively.

6 0

3 years ago

a tank is formed by rotating the curves y=x^2 about the y-axis for 0<=x<=4. If the tank filled with water a depth of 12 fe

Nata [24]

i dont know its kind of hard sorry

6 0

3 years ago

0.5% of what number is 12?

dolphi86 [110]

Answer:

2,4000

Step-by-step explanation:

0.5 percent (calculated percentage %) of what number equals 12? Answer: 2,400.

8 0

3 years ago

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

marta [7]

Answer:

Therefore the results from adding the equation in this system is

$7x=-35$

Step-by-step explanation:

Given:

Equations as

$11x-3y=-17$ .......................1

$-4x+3y=-18$ .......................2

To Find :

Result when adding equation 1 and 2 = ?

Solution

On adding equation 1 and 2 the "3y" term will get cancel and the like terms will combine that is add (11x and -4x ) and ( -17 and - 18) as shown below

11x - 3y = -17

-4x + 3y = - 18

-------------------------------------------

7x + 0 = - 35

---------------------------------------------

Therefore the results from adding the equation in this system is

$7x=-35$

7 0

3 years ago

Read 2 more answers

I have 2 questions, they're similar, but i have no idea. can someone please help me.

Dimas [21]

Answer:

First Picture:

$\sqrt{x} -3=3-\sqrt{x}\\\\\x-3=0\\ +3 +3\\x=3$

Second Picture:

$2/3(9x-6)-4=9x-6$

$(6x-4-4=9x-6\\6x-8=9x-6\\ -9 -9\\\\-3x-8=-6\\ \\+8 +8\\-3x=2\\\\x=-2/3$

5 0

3 years ago