Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
Answer:
because it is 3/4 of the entire bag, there has to be a Ratio:
3:4 = 4.5:w
\frac{3}{4} \frac{4.5}{w}
cross mult.
3w= 4.5(4)
3w = 18
divide 3 both sided
18/3=6
w=6
6lbs of food.
Therefore, your ans is 6lbs of dog food
Step-by-step explanation:
Answer:
2⁵× 2ˣ = 256
x= 3
(1/3)² (1/3)ˣ = 1/729
x= 4
Step-by-step explanation:
2⁵× 2ˣ = 256
x= 3
use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ
convert both sides to the same base.
2⁵⁺ˣ = 2⁸
cancel the base of 2 on both sides.
5+x=8
subtract 5 from both sides.
x=8-5
simplify 8-5 3.
x=3
(1/2)² (1/3)ˣ = 1/729
x = 4
use division distributive property: (x/y)ᵃ=xᵃ/yᵃ
i hope this helped i didn't feel like typing the rest out though lol :(
Answer:
I believe it is 9
Step-by-step explanation:
alls I did was add the adults to the students then I divide 375 by 44 I got a weird decimal so I rounded it up to 9
Answer:
256
Step-by-step explanation:The total amount os students is 1640 which is equivalent to 100% so we get 50% of 1640 which is equall to 820 students after that we also find 35% of 1640 which is equall to 564 students. After that we sum them up which we get 1384 students and subtract it from 1640 and get 256 students.
