I'm on a test Three-quarters of the boats in the marina are white, 4/7 of the remaining boats are blue, and the rest are red. If there are 9 red boats, how many boats are in the marina?

84 boats

Step-by-step explanation:3/4 of all boats in the marina are white. Therefore, the remaining 1/4 of boats are not white. From the 1/4 of non-white boats, 4/7 of them are blue. That means that 3/7 of the 1/4 non-white boats are red. We know that summing up all fractions of boat colors should give us a value of 1, shown below.

fraction of white boats + fraction of blue boats + fraction of red boats = 1

3/4 + 1/4(4/7) + 1/4(3/7) = 1

The fraction of red boats out of all boats is 1/4(3/7) or 3/28.

If we let the variable T = total number of boats and R = number of red boats, the number of red boats over total should equal the fraction of red boats, R/T = 3/28.

Plugging in R = 9, we can solve for the total number of boats in the marina.

R/T = 3/28

9/T = 3/28

9 = 3T/28

9*28/3 = T

T = 84

There are 84 boats in the marina.

i hope i have helped u and have a wonderful night

"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:

1260=3*6*7*10=3^2*2^2*7*5 perfect cude = 3^3*2^

step-by-step explanation: