Answer:
-16 > n or n < -16
Step-by-step explanation:
First, we can write the inequality and distribute.
-6n-12 > 3(-n+12)
-6n-12 > -3n+36
Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.
-6n-12 > -3n+36
<u>+6n +6n</u>
-12 > 3n+36
Now, we can subtract 36 on both sides.
-12 > 3n+36
<u>-36 -36</u>
-48 > 3n
Divide by 3 on both sides.
-48 > 3n
<u>/3 /3</u>
-16 > n or (if it's easier) n < -16
Hope this helps!! Have a wonderful day C:
First off, "whatever%" of "anything" is just (whatever/100) * anything
part A)
so... firm A got 11,000 invested, turned a profit of 24%, how much is 24% of 11000? well (24/100) * 11000
firm B got 14,000 invested, and returned 15% in profits, how much is 15% of 14000? (15/100) * 14000
part B)
for the amounts above, we get 2640 and 2100 respectively
so, the total profit "amount" is 2640 + 2100 or 4740
the total investement was 11000+14000 = 25000
if 25000 is the 100%, how much is 4740 in percentage?

solve for "x"
2x-4=3-x +1
<span>Simplifying
2x + -4 = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + -1x + 1
Reorder the terms:
-4 + 2x = 3 + 1 + -1x
Combine like terms: 3 + 1 = 4
-4 + 2x = 4 + -1x
Solving
-4 + 2x = 4 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-4 + 2x + x = 4 + -1x + x
Combine like terms: 2x + x = 3x
-4 + 3x = 4 + -1x + x
Combine like terms: -1x + x = 0
-4 + 3x = 4 + 0
-4 + 3x = 4
Add '4' to each side of the equation.
-4 + 4 + 3x = 4 + 4
Combine like terms: -4 + 4 = 0
0 + 3x = 4 + 4
3x = 4 + 4
Combine like terms: 4 + 4 = 8
3x = 8
Divide each side by '3'.
x = 2.666666667
Simplifying
x = 2.666666667</span>
The correct answer is D
The equation of a circle is (x-h)^2 + (y-k)^2 = r^2
to find (h,k), you find the middle of the circle, in this scenario you do so by finding the middle of the diameter, a line that goes through the center of the circle.
To find the X value of the midpoint, add both x values together and divide by 2 and repeat for y
-13 + -1 = -14
-14/2 =-7
10+ -6 = 4
4/2 = 2
therefore (h,k) = ( -7, 2 )
Next plug these values in the equation of a circle
(x-h)^2 + (y-k)^2 = r^2
becomes
(x- (-7)) ^2 + (y-(2)) ^2 = r^2
to find r, use the distance formula to find the length of the diameter, 20, and divide by 2
plug 10 in for r and you get 100
(x+7)^2 + (y-2)^2 = 100
sorry for the late response
Answer:
a. 4 : 1
b. 2 students
c. 3 : 1
Step-by-step explanation:
a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:
12 : 3
Take it to the lowest form by dividing both sides by 3:
= 4 : 1
b. There were 4 students with a D grade and 8 with a B. The ratio is:
= 4 : 8
Taken to the lowest form that would be:
= 1 : 2
This means that for every student receiving a D, 2 students received an A.
c. 12 students received a C and 4 students received a D. That ratio is therefore:
= 12 : 4
Take to the lowest form by dividing both sides by 4:
= 3 : 1