Answer:
D) 3.28
Step-by-step explanation:
820/x=100/2.5
(820/x)*x=(100/2.5)*x - we multiply both sides of the equation by x
820=40*x - we divide both sides of the equation by (40) to get x
820/40=x
20.5=x
x=20.5
now we have:
2.5% of 820=20.5
Answer:
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Step-by-step explanation:
Each balloon string is 6ft , 6ft translates to two yards he’ll need 114 yards.
Lets compare both equations so we can explain the reason for it, and see it clearly:
<span>y1 = 5x + 1
</span><span>y2 = 4x + 2
y1 > y2
</span>5x + 1 > 4x + <span>2
</span>To see why that happens we need to solve for x:
5x - 4x > 2 - 1
x > 1
Therefore, the first equation is greater than the second for values of x > 1
Answer:
Directrix equation: y = 11/2
y = k - c = 6 - 1/2 = 11/2
Step-by-step explanation:
y=(1/2) x^2+6x+24
factor this
y = (1/2)* [ x^2 + 12x ] + 24
y = (1/2)* [ x^2 + 12x + 36 - 36] + 24
y = (1/2)* [ (x + 6)^2 - 36] + 24
y = (1/2)* (x + 6)^2 - 18 + 24
y = (1/2)* (x + 6)^2 + 6
y - 6 = (1/2)* (x + 6)^2
2*(y - 6) = (x + 6)^2
4c = 2, (h, k) = (-6, 6)
c = 1/2
Directrix equation: y = k - c = 6 - 1/2 = 11/2
