Answer:
5^8
Step-by-step explanation:
Hey,
Know out exponent division propety knowledge. We can solve.
5^12/5^4 = 5^12-4=5^8
Hope this helped,
Joe Louis2
Answer:
4y = 3x + 4
3x-4y = -4 is correct
Step-by-step explanation:
This is what we do.
We first express the first equation in the form;
y = mx + c
where m represents the slope of the line
Thus we have;
4y = 3x -7
divide through by 4
y = 3/4x -7/4
Thus the slope here is the coefficient of x which is 3/4
Now, since the lines are parallel, it means that their slopes are equal
So the slope of the other line too is 3/4
We now use the point slope form to find the equation of this other line
Mathematically, that would be;
y-y1 = m(x-x1)
where (x1,y1) = (-4,-2)
Substituting this into the point slope equation, we have;
y-(-2) = 3/4(x-(-4))
y + 2 = 3/4(x + 4)
Cross multiply
4y + 8 = 3x + 12
4y = 3x + 12-8
4y = 3x + 4
11 1/2 , this is because 2 goes into 23 11.5 times
Answer:
$10.25
Step-by-step explanation:
Set up a system of equations, so 3c + 2m = 7 and 2c + 4m = 8, where c = the cost of coffees, and m = cost of muffins
To solve multiply the first equation by -2(3c + 2m=7) so you get -6c -4m = -14 now add the two equations
-6c - 4m = -14
2c + 4m = 8 notice that -6c + 2c = -4c and -4m + 4m cancels, then -14+8=-6
so we have -4c = -6 so c = $1.50
To solve for m, substitute c = 1.50 so 3(1.50) + 2m = 7, so solve for m so
4.5 + 2m = 7, 2m = 2.5, so m = $1.25
So now solve the final problem 6(1.50) + 1(1.25) = $10.25
