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Komok [63]
3 years ago
7

An aquarium tank can hold 7200 liters of water. there are two pipes that can be used to fill the tank. the first pipe alone can

fill the tank in 48 minutes. the second pipe can fill the tank in 96 minutes by itself. when both pipes are working together, how long does it take them to fill the tank?
Mathematics
1 answer:
Arada [10]3 years ago
4 0

The first pipe pumps out

\dfrac{7200\text{ L}}{48\text{ min}}=\dfrac{150\text{ L}}{1\text{ min}}

while the second pipe pumps out

\dfrac{7200\text{ L}}{96\text{ min}}=\dfrac{75\text{ L}}{1\text{ min}}

So together, both pipes pump out

\dfrac{150+75\text{ L}}{1\text{ min}}=\dfrac{225\text{ L}}{1\text{ min}}=\dfrac{7200\text{ L}}{32\text{ min}}

That is, with both pipes filling the tank, it should take 32 minutes total.

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Please I need help on the question in the blue circle
jeka57 [31]

Answer:

The equation is self explanatory, its not asking for a question just giving an example.

Step-by-step explanation:

3 0
3 years ago
Solve the equation: x-14=20
motikmotik

Question

Solve the equation: x-14=20


x -14 = 20

x = 20 + 14

x = 34

34 is your answer

----------------------------

check

34  - 14 = 20

the answer is good

8 0
3 years ago
Read 2 more answers
mrs cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own. she bo
Verizon [17]

Answer:

Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.

Step-by-step explanation:

Since Mrs. Cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own, and she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door, to determine how many quarts does she have in all of her own must perform the following calculation:

1/4 = 0.25

1/2 = 0.5

3/8 = 0.375

0.25 + 0.5 + 0.375 = X

1.125 = X

1 + 1,125 = 2,125

Therefore, Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.

3 0
2 years ago
Sorry if l’m posting so many photo but l really just need help for my math class homework
Finger [1]

We have 2 angles that are supplementary, so their sum equals 180⁰.

(4x - 10) + (7x - 8) =180

11x - 18 = 180

11x = 198

x = 18

8 0
3 years ago
Read 2 more answers
A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio
Klio2033 [76]

Answer:

  • k = 0.032
  • P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

  P(t)=P_0\cdot e^{kt}

We know from the given points that we can write the equation as ...

  P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t

Comparing this to the desired form, we see that ...

  P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693

So, the approximate equation for P is ...

  P(t)=131.836\cdote^{0.032t}

And the parameters of interest are ...

  • k = 0.032
  • P0 = 131.836
4 0
3 years ago
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