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alexdok [17]
2 years ago
15

Steven has some money if he spends nine dollars then he will have 3/5 of the amount he started with

Mathematics
2 answers:
oee [108]2 years ago
7 0
X - 9 = 3/5x 
x - 0.6x = 9
0.4x = 9
     x = 22.5
22.5 - 9 = 13.5

Therefore, Steven will have $13.50. 
Im not entirely sure. You have to recheck this with someone else. Im having a brain fart right now lol
Vesna [10]2 years ago
5 0
Total money * fraction = part
x* \frac{3}{5} =9 \\ ( \frac{5}{3}) * \frac{3x}{5} = 9* \frac{5}{3} \\ x= \frac{45}{3} =15
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Step-by-step explanation:

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a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs
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The dimensions of the can are radius of can = 4cm and

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What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

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According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

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For lateral area we need to get h the height of the cylinder as function of x

V = πx²h   ⇒  h= v/πx²    ⇒   h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

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A(x) =  2*π*x² + 800/x

Taking derivatives:

A´(x)  =  4πx  - 800/x²

A´(x) = 0                4πx  - 800/x² =0     ⇒ πx - 200/x² = 0

( πx³  -  200 )/ x²  = 0      

πx³  -  200 = 0      

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3 0
9 months ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!
nataly862011 [7]

Answer:  \bold{-\dfrac{1}{2}}

<u>Step-by-step explanation:</u>

Average rate of change is the slope (m) between the two coordinates (-1, -1) and (1, -2).

m=\dfrac{y_2-y_1}{x_2-x_1}

m = \dfrac{-2+1}{1+1}

   =-\dfrac{1}{2}


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