Answer:
B
Step-by-step explanation:
The rational number is the number which can be written as 
where q is natural and p is integer.
Theorem: If m is a rational number, which can be represented as the ratio of two integers i.e. and the prime factorization of q takes the form 
, where x and y are non-negative integers then, it can be said that m has a decimal expansion which is terminating.
Theorem: If m is a rational number, which can be represented as the ratio of two integers i.e. and the prime factorization of q does not take the form , where x and y are non-negative integers. Then, it can be said that m has a decimal expansion which is non-terminating repeating (recurring).
The fraction 
is a rational number, because 1 is integer and 11 ia natural. So, options A and D are false.
Since we cannot represent 11 as a product , then is a rational number that has a repeating decimal expansion. Option B is true.
Answer:
you could do 3 tens and 1 ones or 2 tens and 11 ones
Step-by-step explanation:
hope this helps!
Answer:
60 cars
Step-by-step explanation:
In order to find how many total cars are in the parking lot, you must use a ratio. This is what you know:
25% = SUVs
40% = pickups
X% = cars
100% - (25% + 40%) = 35%. Thus, the remaining 35% of the cars are sedans. Now, we use a ratio to find the TOTAL number vehicles. See below:
X/65% * 21/35% = 35x = (21x65) = 1,365 (Hint: remember cross-multiplying??)
35x = 1,365
x = 1,365/35
x = 60 total cars
Sanity check:
25% of 60 = 15 SUVs
40% of 60 = 24 pickups
35% of 60 = 21 sedans
TOTAL: 60 cars
Answer:
y = a(x² - 10x + 25) + 3
Step-by-step explanation:
From standard form of an equation, of a parabola, we have;
y = a(x - h)² + k
We are told that the parabola has a vertex at (5, 3). Which in essence is (h, x)
Thus;
y = a(x - 5)² + 3
y = a(x² - 10x + 25) + 3
Therefore, the equation that has a graph that is a parabola with a vertex at (5, 3) is;
y = a(x² - 10x + 25) + 3
Answer:
Top right answer
Step-by-step explanation:
He added the -x to 4x when he should have subtracted.
