Mathematics, 10.09.2019 03:20 ayoismeisalex

The man entered an orchard that had 7 guards and picked some apples. when he left, he gave the first guard half his apples and 1 apple more. to the second guard, he gave half his remaining apples and 1 more. he did the same to each of the remaining five guards and left the orchard with 1 apple. how many apples did he gather in all? explain how you solved the problem.

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Answer from: allyfurby

896 apples

Step-by-step explanation:

We need to order this data to solve the problem. "X" will be the total number of apples he collected.

"He gave the first guard half of his apples and 1 apple more". Mathematically:

$Guard 1 = \frac{X}{2}+1\\$

"To the second guard, he gave half his remaining apples and 1 more". Mathematically:

$Guard2 = \frac{X}{4}+1$

"He did the same to each of the remaining five guards". Mathematically:

$Guard3to7 = \frac{X}{8}+1+\frac{X}{16}+1+\frac{X}{32}+1+\frac{X}{64}+1+\frac{X}{128}+1$

Now we need to calculate "X" (total number of apples he collected). Let's sum all of the data above, that's our "X":

$X= \frac{X}{2}+1 + \frac{X}{4}+1 + \frac{X}{8}+1+\frac{X}{16}+1+\frac{X}{32}+1+\frac{X}{64}+1+\frac{X}{128}+1$

Solving this equation results in X = 896 apples.

Answer from: Quest

answer: sine

step-by-step explanation:

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: