Answer:
to expand, use the distributive property. therefore, we get:
6x - 24y
Answer:
The cost of bicycle is Rs1000
Step-by-step explanation:
Let x be the cost of bicycle
Total profit gained by the shopkeeper by selling at labelled price = 20%
Suppose he sell the bicycles at at 5% discount
Which means that the total profit he learn after discount will be:
20% -5% = 15%
The shopkeeper earns a profit of 15% if he sells at discount.
Profit gained by shopkeeper is:
15% of x = 15/100 · x
15% of x = 0.15x
Thus the profit gained will be 0.15x. As profit gained is equal to 150, we can say that
0.15x = 150
x = 1000
The cost of bicycle is Rs1000
Answer:
5/3 = z
Step-by-step explanation:
You can use proportions to figure this out.
Imma solve this as I work through it.
So
4/z is equal to 12/5. So you can do something called the butterfly method (I have never used this before, but it works tho) and the method involves only multiplication and division.
Lemme clean this up for ya
The butterfly method involves multiplying in a cross format on both sides, so the
4 12
__ = ______
z 5
becomes 4 times 5, and z times 12.
4 times 5 is 20, and z times 12 is 12z
so you now have 20 = 12z
Lets simplify the equation by dividing by 4s
20 divided by 4 is 5 and 12z divided by 4 is 3z
so
5 = 3z
You can divide again
by dividing both sides
by
3
to get the unit rate of z.
It will be a fraction though
and it won't look pretty
but here it is:
5
__ = z
3
So
It is
5/3
Hope this helps
and hope you get a laugh out of this
yeeha
Answer:
Solution : (15, - 11)
Step-by-step explanation:
We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )
Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )
Row Echelon Form :
Step # 1 : Swap the first and second matrix rows,
Step # 2 : Cancel leading coefficient in row 2 through 
,
Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.
As you can see our solution is x = 15, y = - 11 or (15, - 11).
