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Amanda [17]
3 years ago
5

Virginia had 3600 dollars in her saving account. She withdrew 2/5 of the money and donated 1/2 of this to the orphanage. How muc

h money did she donate?
Mathematics
1 answer:
mylen [45]3 years ago
4 0

Answer:

$720

Step-by-step explanation:

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Identify the slope (m) and y-intercept (b) of each linear equation.<br> 52. 3x+4y=24
nekit [7.7K]

Answer:

Step-by-step explanation:

  [1]    3x - 4y = -24

  [2]    -x - 16y = -52

Graphic Representation of the Equations :

   -4y + 3x = -24        -16y - x = -52  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    x = -16y + 52

// Plug this in for variable  x  in equation [1]

  [1]    3•(-16y+52) - 4y = -24

  [1]     - 52y = -180

// Solve equation [1] for the variable  y

  [1]    52y = 180

  [1]    y = 45/13

// By now we know this much :

   x = -16y+52

   y = 45/13

// Use the  y  value to solve for  x

   x = -16(45/13)+52 = -44/13

Solution :

{x,y} = {-44/13,45/13}

8 0
3 years ago
3. What is slope of the line above?<br> 4. What is slope of the line above?<br><br><br> help!
Olin [163]
The answer is

3.) -1/2
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3 years ago
The density of a American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circ
LuckyWell [14K]

Check the picture below.

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=4.5 \end{cases}\implies 4.5=2\pi r\implies \cfrac{4.5}{2\pi }=r \\\\[-0.35em] ~\dotfill

\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} h=8\\ r=\frac{4.5}{2\pi } \end{cases}\implies V=\pi \left( \cfrac{4.5}{2\pi } \right)^2(8)\implies V=\begin{matrix} \pi \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \cdot \cfrac{20.25}{\begin{matrix} 4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}\underset{\pi }{\begin{matrix} \pi^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }}(\stackrel{2}{\begin{matrix} 8 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}})

\bf V=\cfrac{40.5}{\pi }~cm^3~\hspace{9em} \stackrel{\textit{since density is }752kg~per~cm^3}{density\implies 752\left( \cfrac{40.5}{\pi } \right)}\qquad \approx ~~9694

8 0
3 years ago
The local craft fair charges the vendors a flat rate of $20 plus $5 for each hour that they spend at the fair. If the vendor owe
Nonamiya [84]

Answer:He remained in the craft fair for 7 hours

Step-by-step explanation:

3 0
3 years ago
An item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price, including tax? Show your wor
AysviL [449]

Answer:

$40 ; $43.20

Step-by-step explanation:

a) 50 * (1 - .20) = 50 * .8 = 40

b) 50 * (1 - .20) * (1 + .08) = 43.20

c) The sales tax increases the price from a by 8%

5 0
4 years ago
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