Answer:
10a = 30
Step-by-step explanation:
By using elimination:
4a + 2z = 10
-2(3a + z) = -2(-10)
4a + 2z = 10
6a - 2z = 20
2z and -2z cancel out
10a = 30
a = 3
They are asking for 10a, so 10 (3) = 30.
You have defined x to be the smaller of two consecutive integers. Then the larger will be (x+1). The given relation is
... (x) + 3(x+1) = -5 . . . . the smaller plus 3 times the larger is -5
... 4x + 3 = -5 . . . . . . . .simplify
... 4x = -8 . . . . . . . . . . subtract 3
... x = -2 . . . . . . . . . . . divide by the coefficient of x
The smaller of the two integers is -2.
Since a stop sign is an octagon it has eight sides. So the perimeter will be:
p=8x, p=perimeter and x=side length. We are told that the perimeter is equal to:
16x^2-80x so we can say:
16x^2-80x=8x subtract 8x from both sides
16x^2-88x=0 factor out 8x
8x(2x-11), since we know x>0
x=11/2
x=5.5 units
12x - 5(x+4) = -20
12x - 5x - 20 = -20
7x = 0
x = 0
and since y = x + 4, y = 4
(0,4) is answer
