Answer:
Step-by-step explanation:
we know that
The area of the model is equal to the area of a rectangle
The area of a rectangle is equal to
we have
substitute
Apply distributive property
Combine like terms
Since it takes one hour to fly 230 miles, and we are looking for the number of hours, we can divide the number of miles we are given by the speed. In this case, we would divide 1380 by 230 to get 6. This means it would take 6 hours for the plane to fly 1380 miles.
The answer to the question asked is 5.
The least common multiple of 4 and 6 is 12. In the range 140 to 200, there are
... floor(200/12) - ceiling(140/12) + 1 = 16 - 12 + 1 = 5
integers divisible by 12.
_____
The list of answer choices suggests that the question is intended to be, "how many integers are divisible by 4 or 6?"
The number divisible by 4 is
... floor(200/4) - ceiling(140/4) + 1 = 50 - 35 + 1 = 16
The number divisible by 6 is
... floor(200/6) - ceiling(140/6) + 1 = 33 - 24 + 1 = 10
We know from the above that there are 5 values that are divisible by both 4 and 6, so will be counted twice if we simply add the above numbers. Hence the number of values divisible by 4 or 6 is
... 16 + 10 - 5 = 21 . . . . . corresponds to selection C)
ANSWER
EXPLANATION
We want to approximate, using the ALEKS calculator, the value of:
![\sqrt[]{103.7}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B103.7%7D)
To do this, we input the radical and the number into the calculator. The result is:
Since we have to round the answer to the nearest hundredth, we will pick the number in the thousandths place value, which is 3.
This number is less than 5, so, we round it down to 0 and add it to the number in the hundredth place value, which is 8.
Hence, the answer is:
