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Mademuasel [1]
3 years ago
6

Write and simplify an expression to model the relationship expressed in the situation below.

Mathematics
1 answer:
spayn [35]3 years ago
6 0
V(p) = x-n, where V(p) is the volume after the boxes have been together, x is the volume of the larger box, and n is the volume of the smaller box.
x = 15 cm x 25 cm x 20 cm = 7500 cubic centimeters (cm^3)
n = 10 cm x 10 cm x 10 cm = 1000 cm^3
V(p) = 7500 - 1000 = 6500 cm^3
So your answer is 6500 cubic centimeters.
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 The sum of the measures of the exterior angles of a regular 5-gon, one at each vertex, is __________ the sum of the measures of
SSSSS [86.1K]
The exterior angles of a regular pentagon has a measure of 360-108= 252 degrees

the sum of these exterior angles will be 5*252=1260 degrees 

a regular nonagon (9-gon) has the exterior angles measure of 360 -140 = 220 degrees 

the sum of these exterior angles of a nonagon will be equal 9*220=1980 degrees 

so from these result that 

the sum of the measures of the exterior angles of a regular 5-gon is less than the sum of the measures of the exterior angles of a 9-on 

hope this will help you 
8 0
3 years ago
Help me out, thank you.
AveGali [126]

Answer: 38

Step-by-step explanation:

7 0
3 years ago
If you earn $3500 per month and you expect your earnings to increase by 2.3% per year, how much do you think you will be making
Y_Kistochka [10]
\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &3500\\
r=rate\to 2.3\%\to \frac{2.3}{100}\to &0.023\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
A=3500(1+0.023)^{10}
8 0
4 years ago
285,624 rounded to the nearest ten thousand
mixas84 [53]
290,000

4 ones place
2 tens place
6 hundreds place
5 thousandths place
8 ten thousandths place
2 hundred thousandths place

When the number after the number you want to round (we want to round the 8, the number after 8 is 5) is 5, 6, 7, 8, or 9 we round up, otherwise, we stay the same

5 is in the list so we round 8 up to 9.

290,000
3 0
4 years ago
A boat travels upstream on the Mississippi river for 3.5 hours. The return trip only takes 2.5 hours because the boat travels 2
AveGali [126]

Answer:

17.5 miles per hour

Step-by-step explanation:

A boat travels upstream on a Mississippi river for 3.5 hours

The return trip takes 2.5 hours

The boat travels 2 miles per hour faster downstream

Let y represent the speed that was travelled upsteam

3.5y = 2.5(y + 2)

3.5y = 2.5y + 5

3.5y - 2.5y = 5

y = 5

Therefore the distance travelled by the boat upstream can be calculated as follows

= 3.5 × 5

= 17.5 miles per hour

4 0
4 years ago
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