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djyliett [7]
3 years ago
10

Ali chews 2/3 of a pack of gum each day. How many days will 72 packs of gum last him. Show your work.

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0
2/3 pack a day.
72 packs

he chews 2 packs in 3 days
72/3 = 24
24*2 = 48

He will chew 48 packs.
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X2=9 has only one solution, which is 4.5
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Three-fourths of the tickets had been sold, and there were 420 tickets left. How many tickets were printed?
Reil [10]

Answer:

Step-by-step explanation:

420 = 1/4 so 4/4 is 4 420s

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8 0
3 years ago
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A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia
iogann1982 [59]
\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\

\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}

what's the population in 2004?  well,  from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004
3 0
3 years ago
Find the coordinates of point P
Drupady [299]
Here is the formula for finding a partitioning point:
x=x1+k(x2-x1), y=y1+k(y2-y1)
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so x=1+(5/16)*(-2-1)=1/16
y=6+(5/16)(-3-6)=51/16
so the answer is (-1/16, 51/16)

Please double check my calculation by yourself.

refer to this website for the formula and how to find k:

"This ratio is called k, and is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio."
https://cobbk12.blackboard.com/bbcswebdav/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordina....
6 0
3 years ago
A bakery bakes 26 batches of 69 cupcakes each week. How many individual cupcakes do they make each week
Vladimir79 [104]

Answer:

12558

Step-by-step explanation:

times all of them

4 0
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