Answer:
Have a nice day
Step-by-step explanation:
We see that 0.3636 is between 1/3 and 2/5.
Looking at the answer choices 1/275. 2/55 and 4/99 are too small, and since 4/9 is close to 1/2, we see that the correct answer must be 4/11.
Alternate solution:
We see that the decimal is a repeating decimal between 0 and 1 and the digits 36 repeat indefinitely right after the decimal point. In that case, it means the numerator is 36 and the denominator is 99, so the fraction is 36/99 = 4/11.
Alternate Solution:
If we let x = 0.3636… , then 100 x = 36.3636…
Subtracting the first equation from the second, we have
99x = 36
x = 36/99 = 4/11
Answer: D
Answer:
23 males and 12 females
Step-by-step explanation:
x = # of females
y = # of males
x + y = 35
x + x + 11 = 35
2x + 11 =35 (SUBTRACT 11 FROM BOTH SIDES)
2x = 24 (DIVIDE BOTH SIDES BY 2)
x = 12 females
x + y =35
12 + y = 35 (SUBTRACT 12 FROM BOTH SIDES)
y = 23 males
23 males + 12 females = 35 students
Answer:
B>-42
Step-by-step explanation:
Multiply 6 on both sides
youll get B
Answer:
![\large \boxed{17}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B17%7D)
Step-by-step explanation:
Let's call the numbers "<em>tu</em>", where<em> t</em> is the tens digit and <em>u</em> is the units digit.
We can solve this by the "brute force" method — examining each number to see if it satisfies the conditions.
![\begin{array}{cccl}\mathbf{u}&\mathbf{tu}& \textbf{Divisible by u} & \\0 &20, 30, 40 & 0 & \text{Division by zero is impossible}\\1 & 11, 21, 31, 41 & 4& \text{All numbers are divisible by one}\\2 & 12, 22, 32, 42 & 4 & \text{All even numbers are divisible by two}\\3 & 13, 23, 33, 43 & 1 &\text{Only 33 is divisible by three}\\4 & 14, 24, 34, 44 & 2 & \text{Only 24 and 44 are divisible by four}\\5 & 15, 25, 35, 45 & 4 & \text{Numbers ending in 5 are divisible by five}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccl%7D%5Cmathbf%7Bu%7D%26%5Cmathbf%7Btu%7D%26%20%5Ctextbf%7BDivisible%20by%20u%7D%20%26%20%5C%5C0%20%2620%2C%2030%2C%2040%20%26%200%20%26%20%5Ctext%7BDivision%20by%20zero%20is%20impossible%7D%5C%5C1%20%26%2011%2C%2021%2C%2031%2C%2041%20%26%204%26%20%5Ctext%7BAll%20numbers%20are%20divisible%20by%20one%7D%5C%5C2%20%26%2012%2C%2022%2C%2032%2C%2042%20%26%204%20%26%20%5Ctext%7BAll%20even%20numbers%20are%20divisible%20by%20two%7D%5C%5C3%20%26%2013%2C%20%2023%2C%2033%2C%2043%20%26%201%20%26%5Ctext%7BOnly%2033%20is%20divisible%20by%20three%7D%5C%5C4%20%26%2014%2C%2024%2C%2034%2C%2044%20%26%202%20%26%20%5Ctext%7BOnly%2024%20and%2044%20are%20divisible%20by%20four%7D%5C%5C5%20%26%2015%2C%2025%2C%2035%2C%2045%20%26%204%20%26%20%5Ctext%7BNumbers%20ending%20in%205%20are%20divisible%20by%20five%7D%5C%5C%5Cend%7Barray%7D)
![\begin{array}{cccl}6 & 16, 26, 36, 46 & 1 & \text{Only 36 is divisible by six}\\7 & 17, 27, 37, 47 & 0 & \text{None of the numbers is divisible by seven}\\8 & 18, 28, 38, 48 & 1 & \text{Only 48 is divisible by eight}\\9 & 19, 29, 39, 49 & 0 & \text{None of the numbers is divisible by nine}\\& \textbf{TOTAL =} &\mathbf{17}& \\\end{array}\\\text{$\large \boxed{\mathbf{17}}$ numbers between 10 and 50 are divisible by their units digit}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccl%7D6%20%26%2016%2C%2026%2C%2036%2C%2046%20%26%201%20%26%20%5Ctext%7BOnly%2036%20is%20divisible%20by%20six%7D%5C%5C7%20%26%2017%2C%2027%2C%2037%2C%2047%20%26%200%20%26%20%5Ctext%7BNone%20of%20the%20numbers%20is%20divisible%20by%20seven%7D%5C%5C8%20%26%2018%2C%2028%2C%2038%2C%2048%20%26%201%20%26%20%5Ctext%7BOnly%2048%20is%20divisible%20by%20eight%7D%5C%5C9%20%26%2019%2C%2029%2C%2039%2C%2049%20%26%200%20%26%20%5Ctext%7BNone%20of%20the%20numbers%20is%20divisible%20by%20nine%7D%5C%5C%26%20%5Ctextbf%7BTOTAL%20%3D%7D%20%26%5Cmathbf%7B17%7D%26%20%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7B%24%5Clarge%20%5Cboxed%7B%5Cmathbf%7B17%7D%7D%24%20numbers%20between%2010%20and%2050%20are%20divisible%20by%20their%20units%20digit%7D)
Answer:
EF
Step-by-step explanation:
A chord is a line segment whose endpoints both lie on the circle.
EF is the chord.
AC is the radius.
DC is a tangent.
FC is a secant.
The correct answer is the first choice.