Answer:
Step-by-step explanation:
By the negative exponent rule, you have that:
By the exponents properties, you know that:
You can rewrite 16 and 9 as following:
16=4²
9=3²
Therefore, you can rewrite the left side of the equation has following:
As the base are equal, then:
Solve for x:
This is a simultaneous equation
Rearrange the second to give
x - y = 1
Add the two equations
(x + y) + (x - y) = 5 + 1
2x = 6
x=3
Substitute 3 into either equation
3 - 1 = y
y = 2
First we write the expression:
((x / 3) - (y / 4)) / ((x / 4) + (y / 3))
We multiply the numerator and the denominator of the expression by: (4) * (3).
We have then:
(((4) * (3)) * ((x / 3) - (y / 4))) / (((4) * (3)) * ((x / 4) + (y / 3)) )
We now rewrite the expression:
(4x - 3y) / (3x + 4y)
The simplified expression is:
(4x - 3y) / (3x + 4y)
Answer: Left
Step-by-step explanation:
First lets find the total number of cookies
12*4=48
48 cookies
Number of cookies eaten
5*2=10
10 were eaten
Cookies left
48-10=38
38/48=19/24
19/24 of the cookies are left