Answer:
15 Rolls.
Step-by-step explanation:
This problem is one that can be solved simply by dividing.
Take 5, and divide that by 1/3.
However, you can't just do this. The way I did it was by turning 5 into 5/1. Then, Multiply by the reciprocal, which would be 5 x 3, which equals 15.
4 to the power 4 is 256......
Y = 2x - 2 ⇒ 2x - y = 2 ⇒ 2x - y = 2
y = x + 2 ⇒ x - y = -2 ⇒ <u>2x - 2y = -4</u>
<u>3y</u> = <u>6</u>
3 3
y = 2
2x - 6 = 2
<u> +6 +6</u>
<u>2x</u> = <u>8</u>
2 2
x = 4
(x, y) = (4, 2)
Answer:
26 rows
Step-by-step explanation:
this is like a rectangle length×width situation.
seats per row = s
number of rows = r
s × r = 884
s = r + 8
so, we can use e.g. the second equation in the first :
(r + 8) × r = 884
r² + 8r = 884
r² + 8r - 884 = 0
the general solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = r
a = 1
b = 8
c = -884
r = (-8 ± sqrt(8² - 4×1×-884))/(2×1) =
= (-8 ± sqrt(64 + 3536))/2 = (-8 ± sqrt(3600))/2 =
= (-8 ± 60)/2 = -4 ± 30
r1 = -4 + 30 = 26
r2 = -4 - 30 = -34
a negative number did not make any sense for the number of rows, so r = 26 is our answer.
We are able to set 4x+32 equal to 6x-8 because these are congruent vertical angles
4x+32=6x-8
4x+40=6x (add 8 to both sides)
40=2x (subtract 4x from both sides)
X=20 (divide both sides by 2)
Then we plug in 20 for x into 6x-8 to find the answer
6(20)-8
=120-8
=112
Hope this helps!
