4x + 7y = -30
How can you order a ladder?
Please help with this question!
B. -6 + (-3) = -9
C. -6 - (-3) = 3
D. -6 ÷ (-3) = 2
Answer:
C. -6 - (-3) = 3
Step-by-step explanation:
An equation requires the both sides right and left to remain equal every time. In the following equation all the equations are balanced except C because that have difference value on both sides. It should be equal.
A. -6(-3) = 18
-6(-3) = 18
18 = 18
B. -6 + (-3) = -9
-6 + (-3) = -9
-9 = -9
C. -6 - (-3) = 3
-6 - (-3) = 3
-9 = 3
D. -6 ÷ (-3) = 2
-6 ÷ (-3) = 2
2 = 2
B) The number 49,836 is divisible by 5 and 9.
C) The number 49,836 is divisible by 3, 6, and 9.
D) The number 49,836 is divisible by 2, 3, and 6.
Option D
ANSWER:
The number 49,836 is divisible by 2, 3, and 6.
SOLUTION:
Let us check one by one statement.
Consider Option (A)
The number 49,836 is divisible by 5, but not by 9.
Given, 49,836 is divisible by 5.
Divisibility rule for 5 is, last digit of the number should be either 0 or 5.
But here last digit is 6, so given number is not divisible by 5
Hence, this statement is not true.
Consider Option (B)
The number 49,836 is divisible by 5 and 9.
Here again given that, 49,836 is divisible by 5, but we know that it is not divisible by 5.
Hence, this statement is also wrong.
Consider Option (C)
The number 49,836 is divisible by 3, 6, and 9.
Given, 49,836 is divisible by 3.
Divisibility rule for 3 is, sum of the digits must be a multiple of 3.
Now sum of digits = 4+9+8+3+6 = 30.
Since, 30 is an multiple of 3, given number is divisible by 3.
And, 49,836 is divisible by 6.
Divisibility rule for 6 is, the number should be divisible by both 2 and 3.
First let us check divisibility with 2,
Divisibility rule for 2 is, the last digit of the number must any one of 0,2,4,6,8
Here, last digit is 6, so it is divisible by 2
And it is also divisible by 3 as we proved above.
So, the given number is divisible by 6.
And 49,836 is divisible by 9.
Divisibility rule for 9 is, sum of the digits must be a multiple of 9.
Sum of digits = 30 which is not a multiple of 9
So, given number is not divisible by 9
Hence, this statement is wrong.
Consider Option (D)
The number 49,836 is divisible by 2, 3, and 6.
Given, 49,836 is divisible by 2, 3, and 6.
As we have already seen in above case that, 49,836 is divisible by 2, 3 and 6 .Hence statement D is correct.
and enter your answer as a decimal.
units
Answer:
14.13
Step-by-step explanation:
The formula for area of a circle is πr^2.
This is a semicircle which is half a circle, so the formula for area of a semicircle is (πr^2)/2
The diameter of the circle is 6, which means that the radius is 3. Since the radius of a circle is always half the diameter. (1/2*6=3)
This means we can plug the known values into our formula.
π(3)^2/2
Simplify.
9π/2
Now we plug 3.14 in for π.
9(3.14)/2
28.26/2
14.13