For some number to be divisible by 12 it has to be divisible by 6 and by 2.
we can write number n as:
n = 6 + 12*k where k is positive integer.
If we divide n by 12 we will get remainder 6 because 12*k part is divisible by 12.
The part 12*k is as said divisible by 12 which means it is divisible by 6 (as first stated) and it has remainder 0. That leaves us with 6/6 which again has 0 as remainder. That means that number n is divisible by 6
The answer is 0
Answer:
y = ax^2 + bx + c => F(x) = 3x^2 +12x+7; F(x) = 3x^2 +12x+7 is already in standard form for the equation of a parabola.
Step-by-step explanation:
Actually, F(x) = 3x^2 +12x+7 is already in standard form, y = ax^2 + bx + c. Double check the instructions for this problem. Did you perhaps want "vertex form?"
Answer:
Cheryl is correct.
Step-by-step explanation:
Cheryl solved a problem : 84 ÷ 0.01 = 8,400.
This is absolutely right.
When we divide any whole number with the divisor having decimal, we change the divisor to a whole number before performing the division.
To do this, we multiply both the numbers (divisor and dividend) by the same power of 10, until the divisor is a whole number.
= 
to make divisor a whole number we will again multiply both the numbers by 10.
= 
= 8,400
Now answer would be 8400.
Therefore, Cheryl is correct.
Answer:
19440
Step-by-step explanation:
18000 x 0.08 = 1440
1440 + 18000 = 19440
Answer:
L = 10 in
W = 2.5 in
Step-by-step explanation:
Let length be L and width be W
Perimeter = L + L + W + W
Perimeter =2L + 2W
given than length is 4 times the width, or
L = 4W (substitute this back into the perimeter equation above)
Perimeter =2L + 2W
Perimeter =2(4W) + 2W
Perimeter =8W + 2W
Perimeter = 10W
given that the perimeter is 25in
25 = 10W
W = 25 / 10 = 2.5 in (answer for width)
L = 4W = 4(2.5) = 10 in (answer for length)
