Let x be the number of treats bought
Let y be the pounds of food bought
25= 2y+x
Given that she has buys 9 pounds of dog food:
25= 2(9)+x
25=18 +x
25-18 =x
7=x
With the money she has left over, she can buy 7 treats.
Hope I helped :)
The area bounded by the 2 parabolas is A(θ) = 1/2∫(r₂²- r₁²).dθ between limits θ = a,b...
<span>the limits are solution to 3cosθ = 1+cosθ the points of intersection of curves. </span>
<span>2cosθ = 1 => θ = ±π/3 </span>
<span>A(θ) = 1/2∫(r₂²- r₁²).dθ = 1/2∫(3cosθ)² - (1+cosθ)².dθ </span>
<span>= 1/2∫(3cosθ)².dθ - 1/2∫(1+cosθ)².dθ </span>
<span>= 9/8[2θ + sin(2θ)] - 1/8[6θ + 8sinθ +sin(2θ)] .. </span>
<span>.............where I have used ∫(cosθ)².dθ=1/4[2θ + sin(2θ)] </span>
<span>= 3θ/2 +sin(2θ) - sin(θ) </span>
<span>Area = A(π/3) - A(-π/3) </span>
<span>= 3π/6 + sin(2π/3) -sin(π/3) - (-3π/6) - sin(-2π/3) + sin(-π/3) </span>
<span>= π.</span>
Answer:
6 cases
Step-by-step explanation:
Kendra wants a total of 160 water bottles
She already has 16 water bottles. So you can subtract 16 from 160 or
160-16 = 144
Then since there are 24 water bottles in a case, you need to divide 144 by 24 or 144÷24 = 6
Answer:
4 minutes
Step-by-step explanation:
make equation
0.25+(0.15x)= 0.85
solve for x
0.15x= 0.60
x=4
