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3 years ago

What are equivalent to 2:9

Mathematics

1 answer:

dimaraw [331]3 years ago

6 0

Answer:

$4:18$

Step-by-step explanation:

Step 1: Multiply both sides by 2

$2:9$

$(2*2) : (2*9)$

$4:18$

Answer: $4:18$

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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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2 years ago

How can you make change for a dollar using exactly 50 coins, only dimes, nickels and pennies?

UkoKoshka [18]

40 pennies, 8 nickles 2 dimes

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3 years ago

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A chimp is taking a multiple - choice test of course the chip can't read and his guessing for every question. If there are 4 cho

tia_tia [17]

Answer:

Step-by-step explanation:

He will guess correctly 25% of the time.

He has 84 questions

25% of 84

.25 * 84

We should expect that he will get 21 questions correct

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2 years ago

I will give brainliest, Please help on this... Show ur work please and thank you

Elanso [62]

Answer:

n=9

Step-by-step explanation:

-5-4n=-41

+5 +5

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

-4n=-36

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

-4n/4=-36/-4

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

n=9

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2 years ago

6. Estimate by clustering: 56.9, 63.2, 59.3, 61.1 A. 240.0 B. 200.0

Andre45 [30]

B!!!!!!!!!! The answer is 200

EXPLANATION

Added sum is estimated to 200

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2 years ago

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