Answer: 19/50
Step-by-step explanation: To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. In this case, 38% can be written as the ratio 38 to 100 or 38/100. Notice however that 38/100 is not in lowest terms so we need to divide the numerator and denominator by the greatest common factor of 38 and 100 which is 2.
38 ÷ 2 = 19
100 ÷ 2 = 50
<em>Therefore, 38% can be written as the fraction 19/50 which is in lowest terms.</em>
Answer:
'Twice the sum of a number and 5' can be translated into variable expression such as:
Step-by-step explanation:
Given the phrase
<em>Twice the sum of a number and 5</em>
First, let us breakdown the English Phrase
Let the number be = n
The sum of a number 'n' and 5 = n + 5
now, twice the sum of a number and 5 can be determined by multiplying (n+5) with 5.
Thus,
'<em>Twice the sum of a number and 5</em>' can be translated into variable expression such as:
If x = 2 than, 6(4x2)=48
-3(8x)= -24
It would equal 24
Answer:
The second answer, and fifth answer
Step-by-step explanation:
Answer:
The correct option is;
False
Step-by-step explanation:
The coefficient of x^k·y^(n-k) is nk, False
The kth coefficient of the binomial expansion, (x + y)ⁿ is 
Where;
k = r - 1
r = The term in the series
For an example the expansion of (x + y)⁵, we have;
(x + y)⁵ = x⁵ + 5·x⁴·y + 10·x³·y² + 10·x²·y³ + 5·x·y⁴ + y⁵
The third term, (k = 3) coefficient is 10 while n×k = 3×5 = 15
Therefore, the coefficient of x^k·y^(n-k) for the expansion (x + y)ⁿ = 
not nk
