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lisabon 2012 [21]
3 years ago
14

.

Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

It will take 150 hours to fill all 3 tanks at a time.

Step-by-step explanation:

Water flows in pipe 1 at a rate of 25,000 gallons per hour.

Other pipe at a rate of 45,000 gallons per hour.

Water leaves the system at a rate of 60,000 gallons per hour.

There are 3 of these tanks and each tank holds 1 million gallons.

Each tank is half full.

So, total capacity of 3 tanks = 3 millions and it is half full.

The water need to be filled = 1.5 millions. At the same time 60,000 gallons of water leaving out.

25,000 x + 45,000 x - 60,000 x = 1.5 millions

70,000x -60,000x = 1500000

10,000x = 1500000

Dividing both sides by 10,000, we get

x = 150 hours

Therefore, it will take 150 hours to fill all 3 tanks at a time.

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Without multpilying tell which is greater 4/5 x 45 or 2/3 x 45. Explain
soldier1979 [14.2K]

4/5 = 80%

2/3 = 66.66666...%

4/5 is a bigger fraction, so (4/5) x 45 is a bigger fraction.

4 0
2 years ago
In a group of 58 learners at Nakambuda C.S, 34 learners have chosen the field of Agriculture. What fraction of learners will be
asambeis [7]

learners of Agriculture: 34/58

semplify it

divide by 2

34 > 17

58 > 29

they are prime numbers, so can't be semplify anymore

17/29 will do Agriculture

in percentage we have a proportion:

17 : 29 = x : 100

x = (17 * 100) / 29 = 1700 / 29 ≅ 48,62

4 0
2 years ago
The water level in a tank can be modeled by the function h(t)=8cos(pi t /7)+11.5, where t is the number of
denis23 [38]

Answer:

NO amount of hour passed between two consecutive times when the water in the tank is at its maximum height

Step-by-step explanation:

Given the water tank level modelled by the function h(t)=8cos(pi t /7)+11.5. At maximum height, the velocity of the water tank is zero

Velocity is the change in distance with respect to time.

V = {d(h(t)}/dt = -8π/7sin(πt/7)

At maximum height, -8π/7sin(πt/7) = 0

-Sin(πt/7) = 0

sin(πt/7) = 0

Taking the arcsin of both sides

arcsin(sin(πt/7)) = arcsin0

πt/7 = 0

t = 0

This shows that NO hour passed between two consecutive times when the water in the tank is at its maximum height

4 0
2 years ago
Write an equation in slope-intercept form that goes through the points (-3, -4) and (3,4).
Marat540 [252]

Answer:

Y = 4/3x + 0

Step-by-step explanation:

(-3,-4) and (3,4) can be plugged in to rise over run.

y 4 -(-4) = 8

x 3 - (-3) = 6

8/6 = 4/3

Plug into slope intercept form

4 = 4/3(3) + b

4 = 12/3 +b

4 = 4 +b

Subtract from both sides

0 = b

Y = 4/3x + 0

4 0
3 years ago
These ordered pairs, {(2,4) (3,6) (4,8) (5,10)}, are a function.<br><br> True<br><br> False
ki77a [65]

Answer:

True

Step-by-step explanation:

In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if <em>every value in the domain only has one arrow coming out of it</em>. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.

8 0
3 years ago
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