Solution of the equation: 
Step-by-step explanation:
The equation that we have to solve in this problem is:
The first step to do is to rewrite the mixed fractions as improper fractions. We have:
And
So the equation becomes
Now we multiply by 4 each term on both sides, and we get
Now we subtract 29 from both sides,
And finally, we divide both sides by 4:
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Answer:
Step-by-step explanation:he first digit must be a 6, 7, or 8, because the number has to be bigger than 6,000.
The last digit must be a 1, 3, 5, or 7, because the number has to be odd.
So if the first digit is 6 or 8, there are 4 odd-number options for the last digit. If the first digit is a 7, then there are only 3 options for the last digit, as 7 can’t be used twice.
The other two digits can be anything that’s not already used. So for each first-and-last combination of digits mentioned above, there will be six options available for one of the middle digits, and then for each of those 3-digit combinations, five options will be available for the final remaining digit.
At this point, we have everything we need to express this as an equation:
x = (2 x 4 + 1 x 3) x 6 x 5
And then we can simplify and solve:
x = (8 + 3) x 30
x = 11 x 30
x = 330
359, 357, 348, 347, 337, 347, 340, 335, 338, 348, 339, 356, 336, 358 a. median: 359 mode: 358 c. median: 347 mode: 347 AND 348 b
Elodia [21]
Answer:
Option C (Median: 347 and Mode: 347 and 348)
Step-by-step explanation:
Median is the middle point of the data and mode is the most repeated observation is the data. The first step involved in calculating the median it to list the observations in the ascending order. This gives:
335, 336, 337, 338, 339, 340, 347, 347, 348, 348, 356, 357, 358, 359
The second step is to identify the middle number (in case the observations are in odd numbers) or numbers (in case the observations are in even numbers) after the ascending order step has been done. It can be observed that the middle numbers in this data set are 347 and 347. Since there are two numbers, so their average will be the median of this data set. Therefore, the median is 347. It can be seen that maximum repetitions are 2 times for 347 and 348. So the mode is 347 and 348.
Therefore, Option C is the correct answer!!!
Step-by-step explanation:
I am not fully sure what your teacher is aiming for. it friends very much on what you were just discussing in class (which I don't know).
but the first thing coming to mind is a minus sign ("-"). squaring a negative number removed the minus and makes the result equal to squaring the same positive number.
just for the undoing the 1/2 :
that is, because a fraction as exponent specifies in its denominator the root to be calculated for the basic value or expression.
so, 1/2 means square root. and yes, square is the inverse function of a square root, and it "undoes" the square root.
in exponent calculation it just means that for exponent 1 to the power of exponent 2 we simply multiply both exponents. and so, 1/2 × 2 = 1
FYI - the numerator still represents an original "to the power of" operation.
so, e.g. 3/2 would mean put the basis to the power of 3 and then do the square root of that result. or the other way around. these operations are commutative (the sequence does not matter).
Factoring out the 1/2 (that is the coefficient of the variable) would require you to divide the equation by one half, which is the same as multiplying by two. After doing this, the answer can be expressed as:
1/2 (d+12)
