Ask question

Ask question

All categories

Y_Kistochka [10]

3 years ago

9

You are designing an aquarium that is to have a tank holding 225,000 gallons of water. The tank will be 100 feet long and 20 fee

t wide. Note, 7.5 gallons = 1 cubic foot of water. How high will the tank need to be?

1 answer:

yaroslaw [1]3 years ago

8 0

225000 gallons = 30000 cubic foot

30000=100*20*x

x=15

The tank needs to be 15 feet high

You might be interested in

Solve 10e^2x - 5 =23^x for x.

yawa3891 [41]

$10e^{2x}-5=23e^x\qquad\text{subtract}\ 23e^x\ \text{from both sides}\\\\10e^{2x}-23e^x-5=0\\\\10(e^x)^2-23(e^x)-5=0\\\\\text{substitution:}\ e^x=t > 0\\\\10t^2-23t-5=0\\\\10t^2-25t+2t-5=0\\\\5t(2t-5)+1(2t-5)=0\\\\(2t-5)(5t+1)=0\iff2t-5=0\ \vee\ 5t+1=0\\\\2t=5\ \vee\ 5t=-1\\\\t=\dfrac{5}{2} > 0\ \vee\ t=-\dfrac{1}{5} < 0\\\\\text{therefore}\ e^x=\dfrac{5}{2}\to\ln e^x=\ln\left(\dfrac{5}{2}\right)\\\\\boxed{x=\ln\left(\dfrac{5}{2}\right)}$

5 0

3 years ago

Read 2 more answers

Marcus has $28 to spend. He spent $3.75 to buy a notebook. He needs to save $11.25 but he wants to buy a snack. Chips cost $1.30

Alborosie

Total money Marcus has = $28

Money spent to buy a notebook = $3.75

Money left now = $28-3.75=24.25$

Money needed to be saved = $11.25

So, the amount of money Marcus can spend = $24.25-11.25=13$

Cost of a packet of chips = $1.30

The inequality to determine the maximum number of chips he can buy is:

Let the number of chips Marcus can buy = x

As he cannot spend more than $13 to buy chips so equation becomes:

$1.30x\leq 13$

Solving this we get

$x\leq 10$

Hence, Marcus can buy a maximum of 10 packs of chips and save $11.25

4 0

3 years ago

Choose the equation that is equivalent to: 4(8x+6)=20

KengaRu [80]

Answer:

B

Step-by-step explanation:

32x + 24 = 20

24 - 24= 0

20 - 24= -4

32x = -4

32x/32

x

-4/32= -8

X= -1/8

7 0

2 years ago

Read 2 more answers

14a²b<br> 7a²b<br> =<br> Simplify

lidiya [134]

Step-by-step explanation:

if14a^2b/7a^2b answer is 2

and if the sign is addition then the answer is21a^2b if subtraction answer is7a^2b

4 0

3 years ago

Plzz help me with my summer school work

shutvik [7]

I have summer school work too omg!!! it’s annoying

6 0

3 years ago