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satela [25.4K]
3 years ago
8

Two aquariums are shaped like a rectangular prism the ratio of the dimensions of the larger aquarium to the dimensions of the sm

aller aquarium is 3 : 2
Eddie says the larger aquarium holds 50% more water than the smaller aquarium


Barry says that the larger aquarium was 150% more water


Cassie says that the larger aquarium holds 200% more water



Are any of them correct explain your reasoning





Please someone help me!!

Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

Cathy was right ( kinda)

Step-by-step explanation:

let the dimension of the small one be 2a : 2b : 2c

then the dimension of the big one be 3a : 3b : 3c

volume of small: 2a*2b*2c = 8 abc

volume of big: 3a*3b*3c = 27 abc

volume ratio: big/ small = 27/8 = 3.375

-> big one hold 237.5% more than small

-> Cathy was right ( kinda)

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In May, Jim's lunch account has a balance of $58.19. If lunch costs 2.74 per day, how many days will Jim be able to buy lunch be
velikii [3]
He will be able to buy lunch for 21 days because 58.19 divided by 2.74 is 21. 237226

5 0
3 years ago
Len bought 12.3 ounces of cashews and 15.2 ounces of almonds. He calculates that if he and four friends share all the nuts equal
ANTONII [103]

Answer:

trgh




Step-by-step explanation:


3 0
3 years ago
Use the laplace transform to solve the given initial-value problem. y' 5y = e4t, y(0) = 2
Basile [38]

The Laplace transform of the given initial-value problem

y' 5y = e^{4t}, y(0) = 2 is  mathematically given as

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

<h3>What is the Laplace transform of the given initial-value problem? y' 5y = e4t, y(0) = 2?</h3>

Generally, the equation for the problem is  mathematically given as

&\text { Sol:- } \quad y^{\prime}+s y=e^{4 t}, y(0)=2 \\\\&\text { Taking Laplace transform of (1) } \\\\&\quad L\left[y^{\prime}+5 y\right]=\left[\left[e^{4 t}\right]\right. \\\\&\Rightarrow \quad L\left[y^{\prime}\right]+5 L[y]=\frac{1}{s-4} \\\\&\Rightarrow \quad s y(s)-y(0)+5 y(s)=\frac{1}{s-4} \\\\&\Rightarrow \quad(s+5) y(s)=\frac{1}{s-4}+2 \\\\&\Rightarrow \quad y(s)=\frac{1}{s+5}\left[\frac{1}{s-4}+2\right]=\frac{2 s-7}{(s+5)(s-4)}\end{aligned}

\begin{aligned}&\text { Let } \frac{2 s-7}{(s+5)(s-4)}=\frac{a_{0}}{s-4}+\frac{a_{1}}{s+5} \\&\Rightarrow 2 s-7=a_{0}(s+s)+a_{1}(s-4)\end{aligned}

put $s=-s \Rightarrow a_{1}=\frac{17}{9}$

\begin{aligned}\text { put } s &=4 \Rightarrow a_{0}=\frac{1}{9} \\\Rightarrow \quad y(s) &=\frac{1}{9(s-4)}+\frac{17}{9(s+s)}\end{aligned}

In conclusion, Taking inverse Laplace tranoform

L^{-1}[y(s)]=\frac{1}{9} L^{-1}\left[\frac{1}{s-4}\right]+\frac{17}{9} L^{-1}\left[\frac{1}{s+5}\right]$ \\\\

y(t)=\frac{1}{9} e^{4 t}+\frac{17}{9} e^{-5 t}

Read more about Laplace tranoform

brainly.com/question/14487937

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6 0
1 year ago
6m/n-3 m=5 and n=8 helpp if u get it right i will put u on brainlist
Tcecarenko [31]

Answer:

The answer is 6

6(5)/8-3=

30/5=

=6

Step-by-step explanation:

4 0
2 years ago
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 4(t + 2) = 10
Nuetrik [128]

Answer & Step-by-step explanation:

4(t + 2) = 10

4t + 8 = 10

4t = 2

t = 1/2

Hope this helps

3 0
3 years ago
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