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xxTIMURxx [149]
3 years ago
6

Liza comes to the swimming pool once every 6 days. Jenny comes once every 4 days and Olga comes once every 10 days. This Monday

all of them were in the pool.
How many days after this Monday will all of them meet at the swimming pool again?
Mathematics
1 answer:
agasfer [191]3 years ago
6 0

Answer:

60 days

Step-by-step explanation:

L.C.M. of 6,4,10=60

as 6=2×3

4=2×2

10=2×5

L.C.M. =2×3×2×5=60

after 60 days they will again together.

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Answer:

a) there is s such that <u>r>s</u> and s is <u>positive</u>

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Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

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Answer:

\large\boxed{5x-6y=16}

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The standard form of an equation of a line:

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y+1=\dfrac{5}{6}(x-2)\qquad\text{multiply both sides by 6}\\\\6y+6=6\!\!\!\!\diagup^1\cdot\dfrac{5}{6\!\!\!\!\diagup_1}(x-2)\\\\6y+6=5(x-2)\qquad\text{use the distributive property}\\\\6y+6=(5)(x)+(5)(-2)\\\\6y+6=5x-10\qquad\text{subtract 6 from both sides}\\\\6y+6-6=5x-10-6\\\\6y=5x-16\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-5x+6y=5x-5x-16\\\\-5x+6y=-16\qquad\text{change the signs}\\\\\boxed{5x-6y=16}

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