Answer:
k = 77
Step-by-step explanation:
k ÷ 11 = 7
We can reverse the equation to 7 x 11 =k
Using the multiplication tables, we know that 7 x 11 is 77
Therefore:
k = 77
Plug it in:
77 ÷ 11 = 7
Answer:
m = 2500b
Step-by-step explanation:
As instructed,
let b = number of boxes sold
let m = total money made.
The total money made, is a function of the number of boxes sold.
Let me break this down:
There are 100 pencils in a box;
if they sold only one box, they will get 100 X $25 = $2500;
if they sold two boxes, they will get 200 X $25 = $5000;
if they sold three boxes, they will get 300 X $25 = $7500;
Following the trend, we can deduce that money made, m = (number of boxes sold X 100 ) X $25
representing this using the variables we were given, we have
m = 100b X 25
hence
m = 2500b
X*a = 244 is equation (1)
x+a = 2 is equation (2)
Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)
We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x
Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0
If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0
So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here.
If you have learned about complex numbers, then the solution set is approximately
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula
Note: it's possible that there's a typo somewhere in the problem that your teacher gave you.
Answer:
-6
Step-by-step explanation:
2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =
Follow the correct order of operations.
Do one step at a time and copy everything else each time, so you don't lose track of any operation.
= 2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]
= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]
= 2 - [6 ÷ 2 + {3 + 2}]
= 2 - [6 ÷ 2 + 5]
= 2 - [3 + 5]
= 2 - 8
= -6
Answer:
8a^2+a-7
Step-by-step explanation:
