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3 years ago

10

Two pipes A and B can fill a petrol tanker in 15 and 12 hours respectively. A third pipe C can empty the whole tanker in 6 hours

. If the tanker is full and all the three pipes are opened together, how long would they take to empty it?

1 answer:

Irina-Kira [14]3 years ago

7 0

Answer:

30 minutes

Step-by-step explanation:

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In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the l

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9514 1404 393

Answer:

5/8

Step-by-step explanation:

The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.

Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.

The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.

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3 years ago

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3 years ago

When two six-sided dice are rolled what is the probability that the product of their scores will be greater than six?

Pachacha [2.7K]

Answer: $\bold{\dfrac{11}{18}}$

<u>Step-by-step explanation:</u>

Think of the products row by row:

11 12 13 14 15 16 - 0 products greater than 6

21 22 23 24 25 26 - 3 products greater than 6

31 32 33 34 35 36 - 4 products greater than 6

41 42 43 44 45 46 - 5 products greater than 6

51 52 53 54 55 56 - 5 products greater than 6

61 62 63 64 65 66 - 5 products greater than 6

$\dfrac{\text{number greater than 6}}{\text{total possible outcomes}}=\dfrac{22}{36}=\dfrac{11}{18}\ when\ reduced$

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3 years ago

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I hope this helps you

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

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4 years ago