<h3><u>The expression that represents the area of the building, in terms of x is:</u></h3>

<em><u>Solution:</u></em>
Given that,
<em><u>Dimensions of rectangular building:</u></em>
Length = 12x + 24 feet
Width = 20x - 10 feet
<em><u>The area of rectangle is given as:</u></em>

<em><u>Substituting the values we get,</u></em>

Multiply both

Thus the expression that represents the area of the building, in terms of x is found
2x+3y=36 when y=6
2x+(3)(6)=36
Simplify
2x+18=36
Subtract 18 from both sides.
2x+18−18=36−18
2x=18
Divide both sides by 2.
2x/2=18/2
x=9
Answer:
by adding counters to the total
Answer:
she should beat a speed of v₂ = 6.04 m/s in order to win the competition
Step-by-step explanation:
Since the momentum p is defined as
p = m*v
where
m= mass of the ball
v= velocity of the ball
denoting 1 and 2 as the first and second bowler , then to reach the momentum of the first bowler
p₂=p₁
therefore
m₁*v₁ = m₂*v₂
v₂ = v₁ * (m₁/m₂)
replacing values
v₂ = v₁ * (m₁/m₂) =8.6 m/s * (4.5 kg/6.4 kg ball) = 6.04 m/s
then since the momentum p = m*v increases with increasing v (at constant m) , she should beat a speed of v₂ = 6.04 m/s in order to win the competition