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Ira Lisetskai [31]
3 years ago
13

Marco has a jug with 3 7/2 ounces of juice. he wants to use some small cups to pass out samples of the juice

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0
If the jug holds only 3 7/2 ounces [13/2 ounces) of juice, the number of 2 1/2 oz. cups that can be filled is

13
----
  2
-------  =  13/5 cups, or 2 3/5 cups.
 5
---
 2

I suspect you have copied down your numbers incorrectly.  Try again.

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The current (2015) population of Eugene is approximately 155,000 people. a) If the population growth rate remains at 4% per year
Olegator [25]
\bf \textit{Amount of Population Growth}\\\\
A=Ie^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &500,000\\
I=\textit{initial amount}\to &155,000\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=\textit{elapsed time}\\
\end{cases}

\bf 500000=155000e^{0.04t}\implies \cfrac{500000}{155000}=e^{0.04t}\implies \cfrac{100}{31}=e^{0.04t}
\\\\\\
\textit{now, we take \underline{ln} to both sides}
\\\\\\
ln\left(  \frac{100}{31}\right)=ln(e^{0.04t})\implies ln\left(  \frac{100}{31}\right)=0.04t\implies \cfrac{ln\left(  \frac{100}{31}\right)}{0.04}=t

so it will have 500,000 approximately "t" years after 2015.
4 0
3 years ago
An apple farmer is deciding how to use each day’s harvest. An apple farmer is deciding how to use each day’s harvest. She can us
spayn [35]
For this item, we let x and y be the number of bushels of apple that will be used to produce apple cider and apple juice, respectively. The situation above is best represented by the following equations,
                                            x + y = 18
                                           20x + 15y = 330
The values of x and y from the equations above are 12 and 6, respectively. Therefore, 12 bushels will be used to make apple cider and 6 bushels will be used to make apple juice. 
4 0
3 years ago
Slove the systems of equations <br>y= 1/2x-6 <br>3x-4y=12​
VladimirAG [237]

Answer:

<h2>x = -12 and y = -12 → (-12, -12)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=\dfrac{1}{2}x-6&(1)\\3x-4y=12&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\3x-4\left(\dfrac{1}{2}x-6\right)=12\qquad\text{use the distributive property}\\\\3x+(-4)\left(\dfrac{1}{2}x\right)+(-4)(-6)=12\\\\3x-2x+24=12\qquad\text{subtract 24 from both sides}\\\\\boxed{x=-12}\\\\\text{Put the value of x to (1)}\\\\y=\left(\dfrac{1}{2}\right)(-12)-6\\\\y=-6-6\\\\\boxed{y=-12}

6 0
2 years ago
Which equation represents the table below
Yuliya22 [10]
The answer should be D.
6 0
2 years ago
(8x +3) + (-6x +11)<br>Cebirsel iladerin terim Soyisini<br>Sabit terimini bulalum​
Brut [27]

Answer:

2x^2+85x+13

Step-by-step explanation:

I did not knew what you wanted, but I think this is what you wanted.

4 0
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