Answer:
D. 2 to 5
Step-by-step explanation:
10 milk orders to 25 juice orders can be simplified to 2:5 when divided by five.
Answer:
144
Step-by-step explanation:
<u>Data:</u>
<em>Emily's age</em> : 46 years old
<u>Find Colin's age</u>
<em>Colin's age</em>: 11 years older than Emily
Emily's age + 11
46 + 11 = 57 years old
<u>Find Dan's age</u>
<em>Dan's age</em>: 5 years younger than Emily
Emily's age - 5
46 - 5 = 41 years old
<u>Find their combined ages</u>
<em>Combined ages</em>: Emily's age + Colin's age + Dan's age
<em>Combined ages </em>= 46 + 57 + 41
Total = 144
Therefore, the total of their combined ages is 144.
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:
The area of the given triangle ABC is 10 units.
Step-by-step explanation:
we have the area of the triangle when points are given is given by the relation
Area of triangle=
and hence putting the Value
triangle = 1/2*( -2*(-2+2)+2*(-2-3)+(-2)*(3+2))
= 1/2*(0+2*(-5)+(-2)*5)
= 1/2*(-10-10)
= 1/2*(-20)
= (-10) units
Since area of the triangle is always positive, we neglect the minus sign and take 10 units as its area.
