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3 years ago

John loves to swim and can complete 10 laps in 4 minutes. How long would it take him to swim 25 laps?

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

6 0

Answer:

62.5 minutes

Step-by-step explanation:

10 divided by 4

then 2.5 times 25 gives the answer

anastassius [24]3 years ago

4 0

Answer:

10 minutes

Step-by-step explanation:

You can use a proportion.

10 laps is to 4 minutes as 25 laps is to x minutes.

10/4 = 25/x

Reduce the left fraction.

5/2 = 25/x

Cross multiply.

5x = 50

x = 10

Answer: 10 minutes

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Answer:

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Step-by-step explanation:

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$\dfrac{x+4}{2x-1}$

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3 years ago

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Two urns contain white balls and yellow balls. The first urn contains 3 white balls and 6 yellow balls and the second urn contai

yuradex [85]

We have 3 white balls in the first urn out of 9. That means we have a 1 in 3 chance at picking the white ball in the first urn.

Now, we have a 3 in 11 chance at picking the white ball in the second urn.

Since, we want them simultaneously, we need to multiply them.

1/3 × 3/11 = 1/11 chance

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3 years ago

Find two integers whose sum is -20 and product is 99

Brums [2.3K]

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

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y=-20=11=-9

when x=-9

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2 years ago

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Find four distinct complex numbers (which are neither purely imaginary nor purely real) such that each has an absolute value of

Luda [366]

Answer:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

Explanation:

Complex numbers have the general form a + bi, where a is the real part and b is the imaginary part.

Since, the numbers are neither purely imaginary nor purely real a ≠ 0 and b ≠ 0.

The absolute value of a complex number is its distance to the origin (0,0), so you use Pythagorean theorem to calculate the absolute value. Calling it |C|, that is:

$|C| = \sqrt{a^2+b^2}$

Then, the work consists in finding pairs (a,b) for which:

$\sqrt{a^2+b^2}=3$

You can do it by setting any arbitrary value less than 3 to a or b and solving for the other:

$\sqrt{a^2+b^2}=3\\ \\ a^2+b^2=3^2\\ \\ a^2=9-b^2\\ \\ a=\sqrt{9-b^2}$

I will use b =0.5, b = 1, b = 1.5, b = 2

$b=0.5;a=\sqrt{9-0.5^2}=2.958\\ \\b=1;a=\sqrt{9-1^2}=2.828\\ \\b=1.5;a=\sqrt{9-1.5^2}=2.598\\ \\b=2;a=\sqrt{9-2^2}=2.236$

Then, four distinct complex numbers that have an absolute value of 3 are:

0.5 + 2.985i
1 + 2.828i
1.5 + 2.598i
2 + 2.236i

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3 years ago

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Dominik [7]

Answer:

Step-by-step explanation:

how 7 because the digris that know be a last number and can be sure the meaning are complecataed thats tight

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3 years ago

John loves to swim and can complete 10 laps in 4 minutes. How long would it take him to swim 25 laps?​

John loves to swim and can complete 10 laps in 4 minutes. How long would it take him to swim 25 laps?