<em>So to solve for a variable, you have to isolate that variable onto one side.</em>
<h3>14.</h3>
Firstly, multiply both sides by j:
Next, divide both sides by k and <u>your answer will be: </u>
<h3>15.</h3>
Firstly, add g on both sides:
Next, multiply both sides by 5 and <u>your answer will be: </u>
<h3>16.</h3>
Firstly, subtract 5p on both sides:
Next, divide both sides by 9 and <u>your answer will be </u>
Answer:
C) 15
Step-by-step explanation:
Here we have to use the combination to find the number of possible combinations.
Total number of classmates (n) = 6
We are selecting 2 individuals. So r = 2.
The combination formula nCr =
Plug in n = 6 and r =2, in the above formula, we get
=
=
Simplifying the above factorial, we get
= 15
So the answer is C) 15
Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
Answer:
-1
Step-by-step explanation:
1-2k=-3k
1-2k+2k=-3k+2k
1=-1k
1/-1=-1k/-1
-1=k
Answer: 10x - 25x - 35
Step-by-step explanation:
F 2x times 5x = 10x
O 2x times 5 = 10x
I -7 times 5x = -35x
L -7 times 5 = -35
Hope This Helps :)