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Oliga [24]
1 year ago
10

Jessica painted 3/4 of a room in 3/5 of an hour. How long will it take Jessica to paint the entire room?​

Mathematics
1 answer:
Snezhnost [94]1 year ago
6 0

Answer:

<u>8/10 hours or 48 minutes.</u>

Step-by-step explanation:

State the problem as a rule of 3:

3/4 room --------- 3/5 hours

1 room ------------ x

x=\frac{(1room*\frac{3}{5} hours)}{\frac{3}{4}room}

x= 0.8 hours.

• How much is 0.8 hours in minutes?

0.8 * 60 = 48 minutes.

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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
i bought a box of fruit snacks worth $9.98, there are 90 packs of fruit snacks in the box. How much is each pack of fruit snacks
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Answer:

About $0.11

This is because 0.11 is how much money one pack is Worth.

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Other expressions for 19 times 25 + 19 times 75
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Answer:

1,900

Step-by-step explanation:

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Prove that the two circles shown below are similar.
s344n2d4d5 [400]

The circles B and D are similar since the radius of the former is as twice as the radius of the latter.

<h3>Are the two circles shown in the figure similar?</h3>

By geometry we know that circles are defined by only one characteristic: radius. If two circles are similar, then the radii must be <em>different</em>. After a quick look at the figure, we conclude that the radii are r_{B} = 4 and r_{D} = 2. Hence, the circles B and D are similar since the radius of the former is as twice as the radius of the latter.

To learn more on similarity: brainly.com/question/12670209

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2 years ago
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