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:
-4 =x
Step-by-step explanation:
ƒ(x) = 9x + 54
Let f(x) = 18
18 = 9x+54
Subtract 54 from each side
18-54 = 9x + 54-54
-36 = 9x
Divide each side by 9
-36/9 = 9x/9
-4 =x
Answer:
2x+8
Step-by-step explanation:
2 times x = 2x. 2 times 4 = 8.
Answer:
y = -3x - 9
Step-by-step explanation:
Equation of line in point slope form is given as:
You can solve this via algebra, lets say the numbers are x and y.
x + y = 43 and x - y = 19
You can re-arrange one of the equations to get
x = 43 - y Then substitute this into the other equation, so instead of x you put this:
(43 - y) - y = 19
43 - 2y = 19
-2y = 19 - 43
-2y = -24
-y = -12
so y = 12
then you can do 43 - 12 = 31 to get both of the numbers.
so the numbers are 31 and 12
