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Phoenix [80]
4 years ago
11

me.Walker needs 22 cups of flour to bake 12 cakes.how many cups of. flour will she need to bake 30 cakes?

Mathematics
1 answer:
lara [203]4 years ago
5 0
We can infer that more cups of flour are needed as the cakes are increased, so we can apply a rule of three, simple with direct proportion to find the answer:
12 cakes ----> 22 cups flour
30 cakes ----> x

x = (30)(22)/12
x = 55
therefore 55 cups of flour are needed to bake 30 cakes
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Anna11 [10]

Answer:

The inequality is 12.5v + 70 ≥ 215

and the amount of visits they can make is 12 visits

Step-by-step explanation:

if you take away (subtract) 70 from both sides, you'll get

12.5v ≥ 145

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3 0
3 years ago
A model for the population in a small community after t years is given by P(t)=P0e^kt.
LUCKY_DIMON [66]
\bf \textit{Amount of Population Growth}\\\\
A=Ie^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\\
\end{cases}

a)

so, if the population doubled in 5 years, that means t = 5.  So say, if we use an amount for "i" or P in your case, to be 1, then after 5 years it'd be 2, and thus i = 1 and A = 2, let's find "r" or "k" in your equation.

\bf \textit{Amount of Population Growth}\\\\
A=Ie^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &2\\
I=\textit{initial amount}\to &1\\
r=rate\\
t=\textit{elapsed time}\to &5\\
\end{cases}
\\\\\\
2=1\cdot e^{5r}\implies 2=e^{5r}\implies ln(2)=ln(e^{5r})\implies ln(2)=5r
\\\\\\
\boxed{\cfrac{ln(2)}{5}=r}\qquad therefore\qquad \boxed{A=e^{\frac{ln(2)}{5}\cdot t}} \\\\\\
\textit{how long to tripling?}\quad 
\begin{cases}
A=3\\
I=1
\end{cases}\implies 3=1\cdot e^{\frac{ln(2)}{5}\cdot t}

\bf 3=e^{\frac{ln(2)}{5}\cdot t}\implies ln(3)=ln\left( e^{\frac{ln(2)}{5}\cdot t} \right)\implies ln(3)=\cfrac{ln(2)}{5} t
\\\\\\
\cfrac{5ln(3)}{ln(2)}=t\implies 7.9\approx t

b)

A = 10,000, t = 3

\bf \begin{cases}
A=10000\\
t=3
\end{cases}\implies 10000=Ie^{\frac{ln(2)}{5}\cdot 3}\implies \cfrac{10000}{e^{\frac{3ln(2)}{5}}}=I
\\\\\\
6597.53955 \approx I
3 0
4 years ago
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aleksandrvk [35]
Hello,

y+2=3/5(x-10)

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y=3/5 x -8


6 0
3 years ago
HELP ASAP OFFERING 13 points
dsp73

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Shania is planning a party at her home. She has made 126 chocolate truffles and 84 caramel truffles to give to her guests. If th
vodomira [7]
This turns out to be a division problem. To find how many each person can get, you must divide the amount of food by how many guests.
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5 0
4 years ago
Read 2 more answers
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