Answer:
He would have to make 8 mini pies
Step-by-step explanation:
I'm not 100% sure, but I believe the answer is A. x²-5/4x+1
First write out the proportions/ratios, and use x for the unknown number.
2:5 = 34:x
Then, you find out how much more 34 is from 2, so divide 34 by 2.
The answer will be 17, which means, the proportions is 17 times of everything.
So to find out for the x, you multiply 5 by 17 since everything is 17 times more.
5 x 17 = 85
The final ratio will be:
2:5 = 34:85
We can say that 17 times more snow has snowed that year since comparing the January snowfall, it shows that 34 is 17 times more of 2. So to predict the total snowfall, we multiply the 5 by 17, since like I said before, the amount of snowfall is 17 times more than before. Therefore, 5 multiplied by 17 equals to 85. The predicted total snowfall for the entire year will be 85 inches.
A=1/2 bh
40=1/2•20h
80=20h
4=h
Answer:
Dimensions of cabinet
x (wide) = 1.93 ft
y (hight) = 2.895 ft
p (depth) =0.43 ft
Step-by-step explanation:
Dimensions of cabinet
y height
x wide
p deph
From problem statement
y = 1.5 x V = y * x * p V = 1.5*x²p but p = V/y*x p = 2.4/1.5 x²
p = 1.6 / x²
Then
Area of top and bottom A₁ = 2*x*p ⇒ 2*x*1.6/x²
A₁ = 3.2 /x
And cost in $ C₁ = 0,9 * 3.2 /x ⇒ C₁ = 2.88/x
Area of sides (front and rear not included)
A₂ = 2*y *p A₂ = 3*x*1.6/x² A₂ = 4.8/x
And cost in $ C₂ = 0.9 * 4.8 /x C₂ = 4.32 /x
Area of front and rear A₃ =2* y*x A₃ = 2*1.5 *x² A₃ = 3x²
And cost C₃ = 0.3 * 3/x² = 0.9/x²
Total cost C(x) = C₁ + C₂ + C₃ C(x) = 2.88/x + 4.32/x + 0.9x²
Taking derivatives
C´(x) = -2.88/x² - 4.32 /x² + 0.9 x
C´(x) = 0 -2.88/x² - 4.32/x² + 0.9 x = 0 -2.88 - 4.32 + 0.9 x³ = 0
-7.2 + x³ = 0 x³ = 7.2
x = 1.93 ft y = 1.5*1.93 = 2.895 ft and p = 0.43 ft
