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s344n2d4d5 [400]
2 years ago
8

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large

boxes. Each small box has 12 granola bars and each large box has 30 granola bars. How many granola bars are there in 8 small boxes and 7 large boxes? How many granola bars are there in ss small boxes and ll large boxes?
8 small boxes and 7 large boxes:
s small boxes and ll large boxes:
Mathematics
1 answer:
pychu [463]2 years ago
8 0

Answer: 306

Step-by-step explanation:

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One half of the sum of a number and 10
garri49 [273]

Let's assume the number be x.

So, sum of a number and 10 can be written as x+10.

Now the given statement is "One half of the sum of a number and 10 ".

So, one half of x+10 can be written as \frac{1}{2} (x+10)

6 0
3 years ago
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
Hannah received $30 for her birthday and bought 3 shirts that were all the same price. If she had $9 left over, which equation s
Natasha2012 [34]
Money spent + money left over = total money

money spent + 9 = 30

We don't know the price of each shirt, so let x = price of 1 shirt.
Then, 3 shirts cost 3 times as much as x, or 3x.
She spent 3x.

3x + 9 = 30
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP I WILL GIVE BRAINLIESS NO GUESSING!!!
tino4ka555 [31]

Answer:

7

-

8

Step-by-step explanation:

5 0
2 years ago
*URGENT*TEST TOMORROW*
Luden [163]

Answer:

"Dominic lived in Spain for 13 months and Columbia for 7 months."

Step-by-step explanation:

let months stayed in spain be "s" and months stayed in columbia be "c"

We can write 2 equations.

Since, lived in Spain and Columbia for a total of 20 months, we can write:

s + c = 20

Also, since 120 words per month in Spain and 150 words per month in Columbia for a total of 2610 new words, we can write:

120s + 150c=2610

Solving first for s:

s = 20 - c

Putting in 2nd and solving:

120(20 - c) + 150c = 2610

2400 - 120c + 150c = 2610

30c = 210

c = 7

Now,

s = 20 - c = 20 - 7 = 13

So

"Dominic lived in Spain for 13 months and Columbia for 7 months."

5 0
3 years ago
Read 2 more answers
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