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mixas84 [53]
2 years ago
8

The cost of soup, s, varies directly with the number of cans, c. When c is 4, the cost is $3. Which graph represents the cost of

the soup?

Mathematics
2 answers:
r-ruslan [8.4K]2 years ago
4 0

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form

\frac{y}{x} =k\ or\ y=kx

In this problem

Let

x--------> the number of cans

y-------> the cost of a soup

so

when

x=4\ cans\\y=\$3

substitute

\frac{y}{x} =k\\\\ \frac{3}{4} =k

the equation is

y=\frac{3}{4}x

using a graph tool

see the attached figure

the answer in the attached figure

larisa [96]2 years ago
4 0

Answer:

The answer is C on Edg2020

Step-by-step explanation:

Hope this helps!!! Have a great day!!!    : )

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Answer:

0.46 (46%)

Step-by-step explanation:

We have the following data:

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p(1)=0.50

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- Probability that player V wins the 2nd set if he has won the 1st set:

p(2|1)=0.60

So, the probability that player V wins the first 2 sets is:

p(12)=p(1)\cdot p(2|1)=(0.50)(0.60)=0.30 (1)

Instead, the probability that player V loses the 2nd set if he has won the 1st set is 0.40 (=1-0.60), so

p(2^c|1)=0.40

So, the probabiity that player V winse the 1st set but loses the 2nd set is

p(12^c)=p(1)\cdot p(2^c|1)=(0.50)(0.40)=0.20 (2)

Also, we have:

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p(1^c)=0.50

- Probability that she will lose the 2nd set in this case is 0.70, it means that the probability that she will win the 2nd set if she lost the 1st set is 0.30, so:

p(2|1^c)=0.30

So, the probability that she will lose the 1st set and win the 2nd set is:

p(1^c2)=p(1^c)\cdot p(2|1^c)=(0.50)(0.30)=0.15 (3)

Combined together (2) and (3), this means that the probability that player V wins exactly 1 set out of the first two sets is:

p(1/2)=p(12^c)+p(1^c2)=0.20+0.15=0.35 (4)

At this point, the probability that she will win the 3rd set is

p(3)=0.45

This means that the overall probability that she will win the 3rd set if she won exacty 1 of the first 2 sets is:

p(1/2,3) = p(1/2)\cdot p(3)=(0.35)(0.45)=0.16 (5)

So, the overall probability that player V will win a match against player M is the sum of (1) and (5):

p(W)=p(12)+p(1/2,3)=0.30+0.16=0.46

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the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder​
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Step-by-step explanation:

Volume of cylinder = Area of base x height

Also, area of cross section = Area of base

Volume of cylinder =  area of cross section x height

Given:  Area of cross section = 614\ cm^2

height = 8 cm

Volume of cylinder = 614 x 8

= 4912 \ cm^2

Hence, the volume of the cylinder​ = 4912\ cm^2

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A thin sheet of ice is in the form of a circle. If the ice is melting in such a way that the area of the sheet is decreasing at
elena-14-01-66 [18.8K]

Answer:

dx/dt  =  0,04 m/sec

Step-by-step explanation:

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Applying differentiation in relation to time we get:

dA(c)/dt   =  π*2*x* dx/dt    

In this equation we know:

dA(c)/dt  = 0,5 m²/sec

And are looking for dx/dt then

0,5  = 2*π*x*dx/dt    when the area of the sheet is 12 m²  (1)

When  A(c) = 12 m²      x = ??

A(c)  =  12  =  π*x²      ⇒    12  =  3.14* x²    ⇒  12/3.14  =  x²

x²  = 3,82     ⇒   x  = √3,82    ⇒  x = 1,954 m

Finally plugging ths value in equation (1)

0,5  = 6,28*1,954*dx/dt

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dx/dt  =  0,04 m/sec

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3 0
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