Answer:
<em>It took 31 days for the patch to cover half the lake</em>
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Step-by-step explanation:
The patch grows to double its size everyday
the patch completely covers the lake in 32 days
Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.
Therefore, the the patch covered half the lake on the 31st day, i.e <em>it took 31 days for the patch to cover half the lake</em>
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Hi there!

First we split up the square root into two parts.

Now we calculate the value of the square roots which have an integer as a solution

Multiplying the integers gives us our next step.

And finally we add up the roots.
Answer: 3/5
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.6 is 6 tenths. So we can write 0.6 as the fraction 6/10.
Notice however that 6/10 is not in lowest terms.
So we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.
So if we divide the numerator and denominator by 2, we get 3/5.
So 0.6 can be written as the fraction 3/5 which is in lowest terms.
Image provided showing the place value chart.
The perpendicular line would have a slope of 1/3.
Perpendicular lines have opposite and reciprocal slopes.
To do the opposite, take the original slope (-3) and change the sign (3).
To do the reciprocal, take the slope we changed (3) and flip it as a fraction (1/3).
This gives us a new slope of 1/3.
Answer:
No
Step-by-step explanation:
From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.