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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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ser-zykov [4K]

Answer:

  x = 16

Step-by-step explanation:

The two marked angles are supplementary:

  (7x -2) +(4x +6) = 180

  11x +4 = 180

  11x = 176

  x = 176/11 = 16

The value of x is 16.

_____

<em>Additional comment</em>

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

4 0
3 years ago
What is _- 20 - 3 1/4 = 14 5/8
dem82 [27]

Answer:

x=303/8

Step-by-step explanation: Yes, I know it looks weird but this is what my calculations have told me. I plugged that number back into the equation and it works so it should be correct unless I misread your question.

4 0
3 years ago
What is the value of x?<br><br> A. 25 cm<br><br> B. 7 cm<br><br> C. 29 cm<br><br> D. 35 cm
natima [27]

Answer:

  29 cm

Step-by-step explanation:

The central triangle is isosceles, so the length if its right side (x) is the same as the length of its left side (29 cm).

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6 0
3 years ago
Tesfa is x years old his father is 4 times as old as tesfa his mother is 7 years younger than his father If their ages add up to
Sergio039 [100]

Step-by-step explanation:

his father's age= 4x

his mother's age= 4x- 7

his age= x

x+4x+4x-7=101

x+ 4x+ 4x= 101+ 7

9x= 108

\frac{9x}{9}= \frac{108}{9}

x= 12

Tesfa is 12 years old

4 0
3 years ago
Read 2 more answers
THIS IS IMPORTANT!!What is the apparent solution to the system of equations?
Ann [662]
Make each equation equal to each other, then solve for x.
-x+2=4x+7
-x-4x=7-2
-5x=5
X=-1
Sub x into one if the y formulas to find y
Y=4x+7
Y=4(-1)+7
Y=-4+7
Y=3
See my picture for how to graph the points.
Hope this helps!

8 0
4 years ago
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