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3 years ago

Harry ate 1⁄2 a serving of crackers, and Samantha ate 7⁄10 a serving of crackers. How much more did Samantha eat?

Mathematics

2 answers:

kvasek [131]3 years ago

6 0

She ate 2/10 of a serving more than him or 1/5 of a serving

Please give brainliest

Goryan [66]3 years ago

4 0

Samantha ate 2/10 more than Samantha

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meriva

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$9.20

Step-by-step explanation:

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3 years ago

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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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3 years ago

Ms graves gave her class 12 minutes to read. Carrie read 5 1/2pages in that time. At what rate ,in pages per hour ,did Carrie re

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12 mins
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we are trying to find an equivilent fraction that has 60 in the bottom
so
(5 and 1/2)/12=x/60
multiply both sides by 60
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3 years ago

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Answer:

It's -32x^2

Step-by-step explanation:

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2 years ago

PLEASE HURRY!!!!!! 10 points !!!!!!!!!!! What is the value of x??

horsena [70]

Answer:

x = 98°

Step-by-step explanation:

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x is an exterior angle and 53° and 45° are the opposite interior angles, hence

x = 53° + 45° = 98°

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3 years ago