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3 years ago

If you drive 9hours and 465 kilometers how long would it take you to drive 768 kilometers

Mathematics

1 answer:

romanna [79]3 years ago

8 0

I think it would be 13 hours possibly

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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa

Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0

3 years ago

Ella swims four times a week at her clubs pool. She swims the same number of laps on Monday,Wednesday,Friday,and 15 laps on Satu

Reika [66]

She swims 12 laps on Monday.

Step-by-step explanation:

Total laps = 51 laps

Laps on Saturday = 15 laps

Let,

x be the number of laps on Monday, Wednesday and Friday each.

According to given statement;

Monday+Wednesday+Friday+Saturday = 51

$x+x+x+15=51\\3x=51-15\\3x=36$

Dividing both sides by 3

$\frac{3x}{3}=\frac{36}{3}\\x=12$

She swims 12 laps on Monday.

Keywords: addition, division

Learn more about division at:

#LearnwithBrainly

7 0

3 years ago

Express the area of the entire rectangle.<br> Your answer should be a polynomial in standard form.

Alchen [17]

Unfortunately I do not know the rectangle you are speaking of, if you could provide the rectangle I would be happy to help.

8 0

3 years ago

Which of the following best defines amplitude?

DedPeter [7]

The true answer is
<span>one-half the height between the crest and the trough (check your physics lesson)</span>

3 0

4 years ago

The average cost of a bag of popcom at

shepuryov [24]

Answer:

B 26.3% increase

Step-by-step explanation:

1 - 3.50/4.75 = .263 = 26.3%

7 0

3 years ago