1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hunter-Best [27]
3 years ago
12

A tank of water holding 528 kl of water begain to empty at a rate of 10 kl/min at the same time a another tank whitch is empty b

egins to fill at a rate of 14kl/min let k repreasens the number of kiloliters of water and let t repreasent time in min the system models the solution
How long will it take for each tank to have the Same amount of water , and how much water will that be

It will take __minitutes for both tanks to hold equal amounts of water . They will each hold ___ kiloliters.
Mathematics
1 answer:
torisob [31]3 years ago
8 0
This is a system of equations.  The first equation represents the tank being emptied and the second equation represents the tank being filled:

k = -10t + 528
k = 14t

To solve this system of equations, we will use substitution. The second equation says that k is equal to 14t, so we can substitute 14t for k in the first equation.

14t = -10t + 528
24t = 528
t = 22

Now that we have t, we can use it to find k by plugging it in to the second equation:

k = 14(22)
k = 308

So, it will take 22 minutes for both tanks to hold equal amounts of water. They will each hold 308 kiloliters.
You might be interested in
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
Nata [24]

Answer:

The equations represent the situation is y=2x+6 and y=5+3x.

Step-by-step explanation:

Consider the provided information.

First convert the statement into mathematical representation.

Consider the smaller number is <em>x</em> and the larger number is <em>y</em>.

<em>y</em>, is equal to twice the sum of a smaller number and 3.    

This information can be written as: y=2(x+3)

Which can be further solve as:

y=2x+6

The larger number is also equal to 5 more than 3 times the smaller number.

This information can be written as: y=5+3x

Thus, the equations represent the situation is y=2x+6 and y=5+3x.

Which can be further solve as:

2x+6=5+3x

x=1

Now, substitute the value of <em>x</em> in y=5+3x.

y=5+3

y=8

3 0
3 years ago
Read 2 more answers
15 There are 30 students in a class. 1 5 like football. How many students do not like football?​
almond37 [142]
15

Explanation:
30-15= 15
5 0
2 years ago
Read 2 more answers
What is f(-3) if f(x) =|2x-1|-5
dangina [55]
F(x) = |2x-1|-5

f(x) = |2*(x)-1|-5

f(-3) = |2*(-3)-1|-5 ... replace every x with -3

f(-3) = |-6-1|-5

f(-3) = |-7|-5

f(-3) = 7-5

f(-3) = 2 which is the final answer

Side Note: the vertical bars mean "absolute value" which represents distance. Negative distance makes no sense which is why absolute value results are never negative.

6 0
3 years ago
Read 2 more answers
The distance from Kenya's house to her job is 18 miles. One morning she left her house at 7:15 a.m. She traveled at the rate of
Snezhnost [94]

20 minutes = 1/3 of an hour

1/3 = 0.333

 1/3 x 45mph = 15, so she drove 15 miles at 45mph

18-15 = 3

3 miles/ 20 mph = 0.15 hours


0.333+0.15 = 0.483 hours total

0.483 x 60 = 28.98 so approximately 29 minutes total driving time

7:15 + 29 minutes is 7:44 am she arrived at work

8 0
3 years ago
NEED HELP ASAP!
LUCKY_DIMON [66]
I think it is A but I'm not really sure
6 0
3 years ago
Read 2 more answers
Other questions:
  • How to simply 7a+3(9+5a)?
    7·1 answer
  • The cookies in sarah's cookie jar decrease by 5 cookies every 2 days. which rational number does not describes the scenario?
    9·2 answers
  • area of ceiling is 256square feet what is the length of wooded border that I will need to completely surround the square ceiling
    6·1 answer
  • What is 1/3 + 1/2?.......
    7·2 answers
  • People leaving the library were asked how many books they checked out that
    15·1 answer
  • Unit 5 part 2. K12. <br> Who killed were and how.
    7·1 answer
  • Veronica has been saving dimes and quarters and has a total of 86 coins worth $9.00. How many
    8·1 answer
  • WILL GIVE BRAINLIEST AND 20 POINTS! PLEASE SHOW WORK!
    12·1 answer
  • For every $3.00 donated to a certain charity by Club A, $1.25 was donated by Club B. If the combined total amount donated to the
    7·2 answers
  • Can someone help me with this please? thank you!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!