Answer:
6^-4 ÷ 3^-4
6^-4/3^-4
Since their powers are negative
Flip them both so the negative index is lost.
It now becomes
3^4/6^4
81/1296
=1/16
Each egg is a 1$.49 so add 2 which will be $3.48 then add $1.49 gfor the bacon which will be 5.33 then 1.09 which will be $6.42 then add tax so 6.90 is her total and subtract 10$ from 6.90 she got 3.10 in change
Answer:
55
Step-by-step explanation:
3x-12=2x
+12
3x=2x +12
-2x
x=12
4(12)+ 9
48+9
=55
Answer:
y=3
Step-by-step explanation:
This is an isosceles triangle because the two angles at the bottom are equal.
This means the two sides are equal
5y-2 = 13
Add 2 to each side
5y-2+2 =13+2
5y = 15
Divide each side by 5
5y/5 = 15/5
y =3
let's make p stand for popcorn and d for drinks. Using those variables, we can create our equations:
2p + 3d = 18.25
4p + 2d = 27.50
From this, we can use substitution or elimination to solve:
For substitution, in the second equations, we could factor out a 2, divide both sides by 2, and then move the left over 2p to the other side to isolate d to put into the first equation.
For elimination, we can multiply the first equation by -2 so that we can remove the 4p and focus on solving for d.
I'll be using elimination in this case:
-2(2p + 3d = 18.25) --> -4p - 6d = -36.50
-4p - 6d = -36.50
4p + 2d = 27.50
-4d = -9.00
d = 2.25
4p + 2 * 2.25 = 27.50
4p + 4.50 = 27.50
4p = 23.00
p = 5.75
Now let's check our answer:
2 * 5.75 + 3 * 2.25 = 18.25
11.50 + 6.75 = 18.25
18.25 = 18.25
So drinks cost $2.25 and popcorn $5.75
