The answer is C
it's easier if you graph it
we know that the x of the unknown vertice is 4, because this is a rectangle and that vertices has to be on the same x line as the point below.
y of the unknown vertice has to be 1 because the vertice to the left needs to be on the same y line as the unknown vertice
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
Answer:
A
Step-by-step explanation:
3(1-2x)=1/4(6x+9)
3-6x=1 1/2x+2 1/4
-2 1/4 -2 1/4
3/4-6x=1 1/2x
+6x +6x
3/4=7 1/2x
/7 1/2 /7 1/2
1/10=x
Answer:
The Tip amount is $ 9
Step-by-step explanation:
Given as :
The total dinner bill = $ 61.31
Rounding the bill to nearest ten dollars
The value of bill after rounding it to ten dollars = $ 60
Now The percentage of tips = 15% of dinner bill
So, The amount given as tip = 15% × $ 60
Or, The amount given as tip = $ 9
Hence The Tip amount is $ 9 Answer