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denpristay [2]
4 years ago
14

A water tank currently has 130 gallons of water and is being filled by 10 gallons every hour. A second water tank currently has

280 gallons of water and is being drained by 5 gallons every hour. After how many hours will the two tanks have the same amount of water? Show your equations
Mathematics
2 answers:
qwelly [4]4 years ago
8 0

Answer:

<h2>After 10 hours, both tanks would have the same amount of water.</h2>

Step-by-step explanation:

The first tank has 130 gallons already, that's its initial condition, and it's being filled by 10 gallons every hour. This can be modeled by the following equation

T_{1}=130+10x

Where x represents hours.

The second tank has 280 gallons of water, that's its initial condition, and it's being drained by 5 gallons every hour. In this case, "drained" refers to a negative variation

T_{2}= 280-5x.

Now, we need to make them equal, because we need to find how many hours will take to have the same amount of water. So,

T_{1} =T_{2}\\ 130+10x=280-5x\\10x+5x=280-130\\15x=150\\x=\frac{150}{15}\\x=10

Therefore, after 10 hours, both tanks would have the same amount of water.

rewona [7]4 years ago
3 0

Answer: let the hours they both have equal amount of water be X

130+10x=280-5x

10x+5x=280-130

15x=150

x=10hrs

Step-by-step explanation:

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3 years ago
Evaluate:<br> 10 x [(6 + 4) = 2]
svetlana [45]

Answer:

You have to pay close attention to the Order of Operations.

10(6+4)/2. Grouping symbols first.

6+4=10.

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100/2.

50 is your answer

Step-by-step explanation:

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8 0
3 years ago
Why is the inequality x≤6 equivalent to the inequality x−5≤6−5
Monica [59]

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1    |add 5 to both sides

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8 0
3 years ago
If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13
trasher [3.6K]

Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

52+b2=132

25+b2=169

25−25+b2=169−25

b2=144

√b2=√144

b=±12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

3 0
3 years ago
B is the midpoint of AC. AB = 2x+12 and BC = 5x + 10. Find AC
3241004551 [841]

Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

5 0
2 years ago
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