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3 years ago

8 miles is approximately 6 kilometers. How many kilometers is equal to 40 miles?

2 answers:

7 0

8 miles. ------> 6 kilometers
40 miles------> x kilometers

8x = 6×40
8x = 240

x= 30 kilometers

40 miles = 30 kilometers

Naddik [55]3 years ago

3 0

Answer:

30 kilometers

Step-by-step explanation:

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Question 1 (Essay Worth 2 points) A scale on a map shows that 2 inches = 25 miles. Part A How many inches on the map represents

xeze [42]

How do we get 25 to 60?
25x=60
x=60/25
x=12/5
x=2.4
So if 25*2.4= 60
If you multiply 2 inches by the same then you'll get the same amount in inches
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7 0

3 years ago

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

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3 years ago

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emmasim [6.3K]

Answ

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3 years ago

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Anastasy [175]

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5 0

3 years ago

When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has incr

Andrews [41]

Answer:

(a) 13.85 °C

Step-by-step explanation:

The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

3 0

3 years ago