1) Sundaes - $2 ; Banana Splits - $3
3x + 2(x+8) = 156
3x + 2x + 16 = 156
5x = 156 - 16
5x = 140
x = 28 banana split ; x + 8 = 28 + 8 = 36 sundaes
2) Palanzio's = 6.80 + 0.90x ; Guido's = 7.30 + 0.65x
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 2 number of toppings.
6.80 + 0.90x = 7.30 + 0.65x
6.80 + 0.90(2) = 7.30 + 0.65(2)
6.80 + 1.80 = 7.30 + 1.30
8.60 = 8.60
3) 6x - y = 4 ; y = 4x + 2
6x - (4x+2) = 4
6x - 4x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3
y = 4x + 2
y = 4(3) + 2
y = 12 + 2
y = 14
6x - y = 4
6(3) - 14 = 4
18 - 14 = 4
4 = 4
The answer would be .0333 hope this helped
<span>This question tells us that after every three squares, we will place a cork square. So there are 3 normal squares for every cork square. We are also told that there are a total of 12 squares. If we divide the total squares by the number of normal squares for every cork square, we obtain the number of cork squares. 12 / 3 = 4. So there are 4 cork squares.</span>
For this case we have the following expression:
(a ^ -8b / a ^ -5b ^ 3) ^ - 3
For power properties we have:
((a ^ (- 8 - (- 5))) (b ^ (1-3))) ^ - 3
Rewriting we have:
((a ^ (- 8 + 5)) (b ^ (- 2))) ^ - 3
((a ^ (- 3)) (b ^ (- 2))) ^ - 3
For power properties we have
(a ^ 9) (b ^ 6)
Answer:
(a ^ 9) (b ^ 6)
